diff --git "a/data/dm_maths/full_data_1/10786_11255.jsonl" "b/data/dm_maths/full_data_1/10786_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10786_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the thousands digit of 1366?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20775092*m**3 + 5*m**2 - 11*m + 31510 wrt m?\nAnswer: -124650552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*k**2 + 51*k**2 + 75*k**2 + 59*k**2.\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-7)*15\/5.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 194386.7 decades to millennia.\nAnswer: 1943.867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 7*a - 8*a + 5*a + 4 + 6*a**2 - 8. Determine c(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 348 + -334. What is the smallest common multiple of w and 38?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/3 + 33796352*h - 856645056380928.\nAnswer: -(h - 50694528)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 - -5) - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -32, 704?\nAnswer: 704","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009051 to 4 decimal places.\nAnswer: 0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*((-1)\/(-9))\/(42\/(-294)). Determine o, given that -8\/3 - t*o**2 + 32\/9*o + 2\/9*o**3 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (11 + (-98)\/21 + -5)\/(-4 - -2). Suppose -8*r + 3*r = -25, -2*v + 43 = 5*r. Suppose 2*k = k - v. What is the nearest to l in 2\/5, k, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 27 - (-8 + 15) - (-74 + 54)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*121\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 - 53. Suppose m = 2*x - 4, -x + 9 = j. Suppose 0 = h - 176 + j. Does 43 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-11*p - 8*p - p)*(1 + 4 - 2).\nAnswer: 120*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 215.055?\nAnswer: 218.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3 + 1 + sqrt(931) - sqrt(931)))**2 - (-1*(1 + (-2 + sqrt(931) - sqrt(931))))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -0.2. Let z = 25.2 - -77.8. Let b = z + -105. What is the nearest to b in o, 2\/7, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24108 - 19878. Do h and 4230 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*s = -2*a, -a = -5*s. Let p(j) = j**2 - j + 1. What is p(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.5, -0.0067, 5, 4?\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h - 14*h + 1770*h**2 + 30*h - 2 - 12*h in the form y*h**2 + c*h + p and give y.\nAnswer: 1770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 3:40 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 153618, 153637, 153656, 153675, 153694?\n\"Answer: 19*h + 153599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-5) - -10)*(-30)\/(-12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - t)*((-1 + 3 - 3)*(-2 - t + 2) + 4*t + 2*t - 3*t - t - 3*t - 2*t) to q*t**2 + u*t + v and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10765313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -17, -17\/9?\nAnswer: -17\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -0.2, 1.1, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 129887354*d. Let q(u) = 10*u**2. Give m(q(b)).\nAnswer: 1298873540*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of r**5\/60 - r**4\/12 + 7*r**3\/6 + 30*r**2. Let v be n(-5). List the prime factors of ((-4305)\/v)\/(2\/(-4)).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 2617*u**3\/3 - u**2 + 6993*u + 9952. Find the first derivative of l(r) wrt r.\nAnswer: 5234*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (22 + -13 - -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76191 less than 76191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/96 and -85\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**4\/2 + 9*l**2 - 112*l + 94. What is the derivative of v(n) wrt n?\nAnswer: 6*n**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6985 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 683404197.\nAnswer: 3, 7, 1787, 18211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 12, -0.5, -7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*o**3 - 84*o + 167*o - 83*o.\nAnswer: -225*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 1\/21, -2\/11 in ascending order.\nAnswer: -3, -1, -2\/11, 1\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 633 + 254. What are the prime factors of d?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 1\/2, -8\/3, -1035?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -175*b*s - 181*b - 326883*s wrt b?\nAnswer: -175*s - 181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 e when two letters picked without replacement from eeebtbeeebeebe?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11833?\nAnswer: 11833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3370 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - z - 10 = 0, -x - 6 = -4*z - z. Suppose 3 = 3*k - 3, 2*k = 2*t + x. Sort t, 2, 1 in descending order.\nAnswer: 2, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + z - 72. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1143.8636*-0.26\nAnswer: 297.404536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15385.\nAnswer: 5, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -258 - -299. What is the least common multiple of 5 and s?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11060325 - 3?\nAnswer: 11060322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 221*r**2 + 5624*r + 2465. Calculate x(-25).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 40.07\nAnswer: -20.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 2*v = 0, -2195*o - 5*v = -2192*o + 26 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**2 + 0*i**2 - 16*i**2)*(3*i - 4*i + 0*i)*(5*i - i - 3*i) + (-3*i + 0*i + 5*i)*(4*i**3 - i**3 - i**3).\nAnswer: 15*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -5239, -0.2, 2\/21, 0, -8\/7, -6?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 111 - -42. Let y be i\/315 - 2\/7. Is -0.03 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 2. What is the common denominator of ((-1)\/(-30))\/((-34)\/663) and 94\/60 + 2\/t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106 and 23638.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.42 in 1, 19, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(10)\/(sqrt(12)\/sqrt(6)) + sqrt(5) - sqrt(5)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from qkqqqqqkkkqqqq.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 284086 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75136\/107 or 701?\nAnswer: 701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361685618 is divided by 583.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, r: 9, y: 2, k: 4, f: 3}. What is prob of sequence fkr?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1263905\/46053 + -2\/15351. Let g = -797\/18 + o. Calculate the common denominator of -7\/20 and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -9 + y**3 + 2*y**2 + 3*y**2 + y**2 - 7*y - y. Give c(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -527.9 + 532. Let l = 14.9 - 18. Let r = l + j. Sort r, -3, 1.2 in ascending order.\nAnswer: -3, r, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1083.912 minutes to hours.\nAnswer: 18.0652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328803039?\nAnswer: 3, 2539, 14389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 3*i = 61 - 37, 10*i = -120 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 5 = -7*s. Let c be (3 + s)\/((-4)\/(-2)). Let z(x) = -15*x**3 - 2*x**2 + 1. What is the least common multiple of z(c) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 2\/7, -16, -2, 13 in ascending order.\nAnswer: -16, -2, 2\/7, 4\/3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2394)\/168 - (-1 + 7\/4). Let n(g) = 5*g**2 - 9*g + 23. Is n(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -0.281 (c) -0.4 (d) 1146\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 92.2 and -111405?\nAnswer: -10271541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**4 + 5*v - 4*v**3 - 6*v**4 + v**3 + 2*v**3 - 2*v**2 to the form g*v**4 + d + x*v**2 + k*v + b*v**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1400 and 1554.\nAnswer: 155400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*n - 2684 = -141*n + 24*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2\/5 - 412*n - 106090 = 0.\nAnswer: -515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 5 (c) 0.1 (d) 2\/7 (e) -0.02 (f) 25 (g) 0.83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2139742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16512\/(-52288)*38\/42.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16754 = 1590*i - 5945 + 439 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.4 - 42.4. Let v = 32 + q. Let g = -10.5 - -10. Put v, -5, 3, g in descending order.\nAnswer: 3, v, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**8\/224 - h**7\/70 - h**6\/20 + h**5\/20 + 3*h**4\/16 + 143*h**2. Suppose g(s) = 0. What is s?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*w + 20879 + 14425. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/948 and 53\/12.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 29*a + 2. Let z(l) = -44*l - 3. Let c(s) = 8*j(s) + 5*z(s). Suppose 32 = 4*v - 4*t + t, -2*t - 8 = 0. Suppose v*f - 3 = 2. Calculate c(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4846531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4032.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**4\/4 - 5*n**3\/3 - 3*n**2 - 4*n + 2. Suppose 0 = -7*b + 180 + 16. Suppose 4*c = -4*p + 1 + 31, -c - b = -5*p. What is h(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 4*n + 4. Let o(x) = x**2 + 10*x - 6. Let s be o(-9). Let p(t) = t**3 + 16*t**2 + 13*t - 36. Let a be p(s). Determine l(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 443 - 311. Suppose -w = -10*r + 4*r. Let x be (-1)\/(-2)*3*2. Solve x*a - 7 = -r for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*c + 3*c + c = 64 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*h + 2418050 = 6*l, -16*h = 2*l - 967238. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 6:24 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a millennium in months?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -4*x - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 24 = -o. Suppose 4*g = -0*g - o. Sort g, 5, -0.4 in descending order.\nAnswer: 5, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-8) + (-35)\/(-4). Let b(h) = 8*h - q*h**2 + h**3 + h**2 - 3 - h**2. Calculate b(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118146510 - 25?\nAnswer: -118146535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 8.9487 and 0.4.\nAnswer: 9.3487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 319\/56 + -39\/7. Put 0.3, 1\/3, 0.1, r in increasing order.\nAnswer: 0.1, r, 0.3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8586 + 5?\nAnswer: -8581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddymvbyxmmdmydvmydyb. Give prob of sequence vmxy.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 10:45 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -162958 (base 11) to base 12\nAnswer: -1022b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f + 110*f**2 + 4 - 17*f**4 + 3*f - 113*f**2 wrt f.\nAnswer: -204*f**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmuuzuz. Give prob of sequence zzuz.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1283 divided by -15?\nAnswer: 1283\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 2:56 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6543711?\nAnswer: 3, 727079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzzzpppzpzpzz. Give prob of sequence zpp.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 9, -3*v - 14 - 3 = -4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**4\/12 + n**3\/6 - n**2\/2 - n + 40. Let c(j) = j**3 + j**2 - j + 1. Calculate 3*c(s) + 3*k(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 - -49. Suppose s + x*y = 16 + 44, 2*y - 144 = -2*s. What are the prime factors of s?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -127*p + 49. Let f(c) = -1141*c + 441. Let h = -146 - -142. Let o(l) = h*f(l) + 35*m(l). Let w(y) = 5*y - 2. What is -2*o(b) + 49*w(b)?\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.23 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13225 is divided by 357.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-3)*t)\/t*t*t)\/t**(-7)*t*t*t*t*t**7*t*t*t**13 assuming t is positive.\nAnswer: t**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/24*6\/13.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 9*d + 2)*(-4*d + 4*d - 2*d**2) + (-2 + 5*d + 2)*(3*d - 3*d + 2*d)*(-4*d + 3*d + 0*d).\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 - 92 = 2*r. Let o(l) = -2*l + 5793. Is o(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 5. Let j be v(15). Let h be ((-4)\/j)\/(14\/(-10) - 1). What is the third smallest value in 6, h, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2569529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2 + 3 = 0. Let c(p) = 1. Let m(x) = 25*x**3 + 17. Suppose 493 = 81*o + 88. Let g(s) = o*c(s) + r*m(s). Find the first derivative of g(k) wrt k.\nAnswer: -75*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 1383979.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18055)\/(-25) + (-1)\/(-1). Let p = b - 7293\/10. Let d = -1101 + 9923\/9. What is the common denominator of d and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, s: 1, w: 2, x: 3}. Give prob of sequence wwkx.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9750 is divided by 348?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3 - 4)*(-1 - 2*y + 1) - 2*y - y + y + y + 0*y + y + 117*y + 54 - 242*y + 136*y in the form j*y + k and give k.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/576*6*-8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 1:36 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20448278.68 rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1817, 1816, 1815, 1814?\nAnswer: 1813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqoqqoqoqqooqoqooqoq. What is prob of sequence qqq?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -7 - (-4 + 3)) + 13\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2929*u + 54*u**4 - 3229*u - 3*u**5 - 540*u**2 + 11*u**3 - 194*u**3.\nAnswer: -3*u*(u - 10)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62580 divided by -14?\nAnswer: 4470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2762 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000669079878 rounded to 7 dps?\nAnswer: 0.0006691","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - n = -40. Is (-16)\/n - (-82)\/5 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2321 divide 3945259751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -11*n**3 + 4*n**2 + 20*n + 3. Let j(h) = 23*h**3 - 10*h**2 - 41*h - 7. Determine 2*j(t) + 5*y(t).\nAnswer: -9*t**3 + 18*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*j**2 - 2*j**3 + 2774 - 7*j**4 - 1386 - 1390 + 2*j - 16*j**2 as y + f*j**2 + l*j**4 + q*j + x*j**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5*290\/(-375) - (-8)\/(-20) and (132\/10)\/((-35)\/30*-9).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -46. Let q = -46 + x. Is (-5 - q)*(-878)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 366*h - 60. Let y be j(4). Suppose y = 28*s - 16*s. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 + 2*h**2 - 4*h + 9. Calculate i(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-3) - 2\/6. Let d = q - -1. Calculate the remainder when d is divided by (-6 + 3)*(-2)\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -699, 4\/5 in descending order.\nAnswer: 4\/5, -3\/2, -699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, b: 12}. What is prob of picking 2 b and 1 i?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {n: 3, a: 17}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dhfcchdcccodwhhhcddc. Give prob of picking 1 d, 2 c, and 1 o.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (532\/10)\/(-1) + 5\/(-75)*12. Put c, -5, 4 in decreasing order.\nAnswer: 4, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - -24. Let h = t + -19. Let z = h - 17. Let b(y) = -y**3 + 5*y**2 + 7*y - 8. Determine b(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(432) + 3 + sqrt(432) - 4*(sqrt(24)\/sqrt(8))**2.\nAnswer: -9 + 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 113 + 77. Suppose -23*c = -t*c - 20. Solve 0 = -3*s + c*s + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00134 * -0.3.\nAnswer: 0.000402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 6*h + 31. Let p be 39\/h*(-9 - -7). What is the remainder when 1\/1 + -6 + p is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**4 + 9640*r**3 - 2328415*r**2 - 2338050*r = 0 for r.\nAnswer: -2145, -1, 0, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 i when two letters picked without replacement from {i: 1, e: 1, n: 2, f: 8, l: 8}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4 = 4*q. Suppose -4*y = -y + 4*l + 4, 2*y = -3*l - q. Is 13 a factor of (14\/y)\/((-1)\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1890 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4726, 19055, 42986, 76519?\nAnswer: 119654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6 - (-40)\/6. Let i be 3\/h*8\/10. Suppose 0 = 4*f + 5*k - 11, -7*f + 1 = -2*f + 2*k. Which is smaller: f or i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 + 1559 = 4*d - 3*o, 0 = -d - 2*o + 339. Which is greater: 344 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 47442295 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*c = -5, -f + c = -1 - 2. Which is greater: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162bc (base 14) in base 3?\nAnswer: -2211001021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 2, m: 1, o: 2}. Give prob of sequence bb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37861, -76118, -114375, -152632?\nAnswer: -190889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*w + 5*w - 7*w - 29*w in the form o + x*w and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6922 - -24586. Suppose -166 = 26*c - u. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*(1 + sqrt(684)) + sqrt(684) + sqrt(684) + -4)**2 + (sqrt(684) - -3*(sqrt(684) + (sqrt(684) + 2)**2))*-3 + 1.\nAnswer: -384*sqrt(19) + 4752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239667*u**3 + 121296*u**3 + 121006*u**3.\nAnswer: 2635*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24\/7 + 89\/28. Suppose -8*u = -4*u - 108. Let d be (-12)\/(-30) - u\/5. What is the third biggest value in d, i, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/2471 and -95\/52244.\nAnswer: 365708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 10*r - 25. Let m be l(4). Let p be (-10)\/(-45) + 130\/(-666). Which is bigger: p or m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -3. Let v = -0.8 + 1.8. Which is the closest to -1? (a) q (b) v (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1780 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)*-4 + sqrt(160))\/(2*4*sqrt(8)).\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 5 + 5)*(-1 - 4 + 2)*(3*b**3 + 3*b**3 - 5*b**3) to p + d*b**3 + h*b**2 + g*b and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 39080976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 7*u - 20, 54 = 2*z + 4*u. Suppose -2*b = -7 - z. What is the highest common factor of 52 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5 = 7. Suppose -o + j = -0*o. What is the second derivative of -2*b + 2*b**3 + b**3 - o*b + 6*b wrt b?\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 12:07 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 2 + 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z + 3. Let b(a) = -6*a + 8. Let c be 2\/(-1 + 28\/20). Let k be 2\/(-7) + (-220)\/14 + 2. Determine c*b(d) + k*r(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 1 (b) 0.4 (c) 0.1 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(68) + sqrt(68) + -3*sqrt(68)*-5))\/((sqrt(576)*-4 + sqrt(576) - sqrt(576))*6).\nAnswer: -17*sqrt(17)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*k - 5*k - 35*k - 53*k - 8*k.\nAnswer: -83*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -11. Let f be ((-6)\/n)\/((-2)\/(-352)). Suppose 2*c - f = d + d, 20 = -4*d. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 1)*(l - 2*l - l - 2 - l + 2 + (-1 - 5 + 4)*(-2 - l + 2)) + 20*l + 66 - 66 as q + r*l and give r.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -130437175 divided by 1534555\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4) - (-90)\/20. Suppose -7*u - w = -25. What are the prime factors of (-1 - u) + (-99)\/(-3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8728, 17449, 26152, 34831, 43480, 52093?\n\"Answer: -a**3 - 3*a**2 + 8737*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.08277 - -0.08277. What is the biggest value in -0.5, c, -2\/11, 495\/7?\nAnswer: 495\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 250827.\nAnswer: -7\/250827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.904214 litres?\nAnswer: 904.214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -165.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 o, and 1 g when three letters picked without replacement from argsor.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1933753 + 0.4.\nAnswer: -1933752.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 39, 93, 191, 339, 543, 809?\n\"Answer: z**3 + 16*z**2 - z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*d**3 - 1067806*d**2 - d + 16438958 wrt d?\nAnswer: 102*d - 2135612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 207*l - 622. Is 298 a factor of i(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 178 + -158. Calculate the greatest common divisor of 160 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, h: 2}. What is prob of sequence hh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 20741, 1, -7.\nAnswer: -7, -2, 1, 20741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.7 - 2.3. Let i = u + 14. What is the nearest to 0.2 in 3, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7572)\/(-6310)*26\/4*5?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 27*u**3 - 2080*u**2 + 75*u - 258. Calculate t(77).\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20443 is divided by 170?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -27. Let r(s) be the second derivative of 50*s**3\/3 - 3*s**2 + 797*s. Is r(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(2\/17)*(r**(-1)\/r)\/r*r*r)\/((r**1*r)\/r)**34 assuming r is positive.\nAnswer: r**(-580\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/9 + (5\/(-5)*-1)\/(-1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11735 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 47130514.2 minutes in weeks?\nAnswer: 4675.64625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {o: 7, t: 6, s: 4}?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(32)\/(sqrt(36) + sqrt(4))) + (sqrt(44) - (sqrt(88)\/sqrt(2) + -1)) + 2.\nAnswer: 3 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**3\/3 + 1. Let i(s) = 5*s. Determine q(i(h)).\nAnswer: 25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.14335 rounded to zero dps?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -128 times 0.0081\nAnswer: -1.0368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, j: 3, i: 1, d: 4, s: 2, b: 1}. What is prob of picking 1 i and 3 d?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6c1532 (base 13) to base 10.\nAnswer: 2573573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5850, 5847, 5844, 5841, 5838, 5835?\n\"Answer: -3*f + 5853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + j + 5, y - 52 = 4*j - 53 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -188*h**3*l**3*v**2 + 3*h**3*l*v**3 - 2*h**2*l**2*v**3 + 566*h*l*v**3 + l**3*v wrt h.\nAnswer: -1128*l**3*v**2 + 18*l*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/12)\/((-70)\/(-45)). Which is the biggest value? (a) h (b) -16 (c) 0.2 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-340)\/(-4)*2 + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23471464 (base 8) to base 3\nAnswer: 100200012112112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 4. Let i = 9 - 15. Let q = i + 7. Is q greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3229204 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by ((-7 - -10)\/(-3))\/((-2)\/26).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.54 - -2.2519. Round y to 2 decimal places.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481 is divided by 157?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b + 31*b**2 + 2 + 3*b - 46*b**2 to the form s*b + k*b**2 + i and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-630*q**2 - 22 + 1256*q**2 - 624*q**2)*(4 + 0 - 3 + 2*q) to x*q**3 + j*q + p*q**2 + i and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2253998 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-484)\/(-66))\/((-5)\/(-15)) and 9?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j + 2*j - j**2 + (3*j**2 - 2*j**2 - 3*j**2)*(-1 + 1 + 1) - 3*j**2 - 3*j**2 + 2*j**2 - 1726*j + 313*j**2 + 1726*j to m + r*j + x*j**2 and give x.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 8:51 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y = -19*y + 21411. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6270?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 734 is divided by 92.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 2*x**2 + 2*x + 2. Determine q(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 2:34 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**6\/6 + 429*d**5\/4 + 19260*d**4 + 114490*d**3\/3 + 12*d + 3. Determine z, given that l(z) = 0.\nAnswer: -214, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81515518 a multiple of 2752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 1 + 2. Let t = -1 - d. What is the second derivative of t*j**5 + 2*j - 5*j + 7*j wrt j?\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-2 + 0)) + -4 + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 8*m**2 - 8*m - 5. Suppose 2*n = -3*p - 31, p - n - 3 = n. Let f be s(p). Suppose -f*v - 44 = -3*v. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 296 + -295.7. Let x = -2 - -0.1. Let a = x - n. What is a rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101a (base 11) to base 5.\nAnswer: 20402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 338b6d?\nAnswer: 338b73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 172381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 9. Suppose 2 = y*o + 2. Solve o = 4*k - 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -69 - (-1 + 4 + -2). Let o be (-2)\/(-18) + d\/63. Sort -4, 7, o in descending order.\nAnswer: 7, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 0*z**5 + 0*z**3 + 0 + 29*z**2 - 1\/1050*z**7 + 1\/600*z**6 + 0*z + 0*z**4. Let g(s) = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000093785232 to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 26.9581ug?\nAnswer: 0.0000269581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1500 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4769, 4759, 4739, 4703, 4645, 4559, 4439, 4279?\nAnswer: 4073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/(-4) - (-4 + 10) - 355\/20?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - q - 40 = 0. Let h(c) = c + 2. Let l(t) = -t - 3. Let f(v) = -5*h(v) - 3*l(v). Let w be f(q). Solve 4*y = -y + w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 4\/7 (b) -2\/51 (c) 0.4 (d) 2\/23 (e) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jdjjjjjdjh. What is prob of picking 2 d and 2 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2407 - -2478. Let h be 20\/(-15)*315\/(-6). Is g greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is acb + 2?\nAnswer: acd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 11*q = 2. Suppose -s = -q*y - 8, 46 + 18 = 3*s + 2*y. What is the remainder when 60 is divided by s - (-2 + 1)*-2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-475)\/(8 - 3) - 2. Let k = -84 - a. What are the prime factors of (-5 + k - 2)*13?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1347*t + 1416*t - 69 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1140 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 875 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 129 = -75. Let a be 2*-2*((-51)\/(-18))\/g. Let d = -1.2 - -1. What is the closest to 0.1 in d, 1\/3, a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 = -18*u + 288. Is 4501\/1 + u\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*z = -4*w + 26, z = -3*w + 37. Let m = 8 - w. What is the least common multiple of 20\/5*(-2)\/m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154566275417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3121, -13134, -29815, -53158, -83157, -119806, -163099?\nAnswer: -213030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3518731*k - 10556182. What is h(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/7203978 and 48\/427?\nAnswer: 50427846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5824 divided by -104?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 741 + -676. What is the remainder when m is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.1 + 12.1. Which is the second smallest value? (a) -1 (b) m (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 11:58 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, -20, -2\/7, -232.6?\nAnswer: -232.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0.005582.\nAnswer: 3.005582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47.48 - 15.48. Sort -11, 3\/2, v in decreasing order.\nAnswer: v, 3\/2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -2*b - 26, 3*b + 159 = 144 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 97.849972 to 0 dps.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 992077417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-23)\/(-115) - 28\/(-10)*1. What is the highest common factor of p and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 803176391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001580504803 to 6 dps.\nAnswer: -0.001581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**2 - 4*m**2 + 0*m**2 + (1 - 3 + 10)*(85 - 85 + 21*m**2).\nAnswer: 167*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*r + 48, -3*f - 3*r + 5*r = 36. Calculate the common denominator of f and 2\/(-6) - 2\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1376?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/6, 2\/11, 10, 0.03, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-10)\/(-15) - 9\/(-54)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3709994971 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35.28 + 35.4. Which is the fourth biggest value? (a) 0.2 (b) -1 (c) 0.3 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 + 3*a**5 - 3*a**5 + (4*a - 3*a + a)*(3*a - a**4 - 3*a) - 2969*a**5 - 4149*a**5 + 4584*a**5 - 4*a**5 + a**5 + 4*a**5.\nAnswer: -2536*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 195993 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*h + 33*h - 20. Let k(u) = -7*u + 3*u + h + u. Give k(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (144\/(-100))\/(-96*(-91)\/(-5460)).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70410551 is divided by 64?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1230072.\nAnswer: 2, 3, 107, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 102112+-0.800717\nAnswer: 102111.199283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 193 + -193.278. Let r = 74.622 - v. Let z = r - 70. What is z rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12534 + -30?\nAnswer: 12504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59694*q**3*u + q**2*u + 708*u wrt q?\nAnswer: -358164*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2137 divided by 6.\nAnswer: -2137\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6082545 by -1113.\nAnswer: 5465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4071*d**3 + 59*d**2 - 59. Let v(q) = 407*q**3 + 6*q**2 - 6. What is -6*s(b) + 59*v(b)?\nAnswer: -413*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.556 to 1 dp.\nAnswer: 29.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -t**4\/4 - t**3 - 5*t**2\/2 - 10*t - 11. Let v be b(-5). What is the highest common factor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 67.298148ms?\nAnswer: 0.00000077891375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -320 + 323. Suppose -474 = -4*y - m + 419, -y - f*m = -215. Does 23 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*n - 294580 = -56*n. What are the prime factors of n?\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 87 + 739 + 2153 = -57*h for h.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 2*t**2 - 6*t - 2. Suppose -4*p + 3*q + 68 - 96 = 0, 2*p = -2*q. Calculate w(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 58*i**2 + 97*i - 5635. What is n(58)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1151652 = -152*a + 3856796. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 q when three letters picked without replacement from {u: 3, g: 1, q: 3, y: 6, s: 5, x: 1}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 15488\/9*h**3 + 1760*h**2 + 2\/9 + 118\/3*h = 0. What is h?\nAnswer: -1, -1\/88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -y - 4*j, 7*y - 4*j = 3*y + 456. Suppose y = 3*o - 5*t, -5*o = -0*t + 4*t - 236. Let h = o - 45. Is -1\/72 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1151105 is divided by 489.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -1 - 13) + (-104 + 71 - 26) + 13.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22436?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15305 in 0.4, 1, -0.2, -8, 16?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(544) + sqrt(34))\/(sqrt(2)*-3*1) + (-3 + sqrt(1088)*-2 - -3*sqrt(153)*-5).\nAnswer: -188*sqrt(17)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/37 (b) 1 (c) -6 (d) 18 (e) -4 (f) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*f**4 + f**4 - 2*f**4 + (4*f**2 + f**2 - 2*f**2)*(-f**2 - 4*f**2 + 2*f**2).\nAnswer: -17*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18537 is divided by 476.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1187489\/5716 - 5\/2858. Which is greater: -207 or d?\nAnswer: -207","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -258583\/434115 - 4\/13155. Find the common denominator of h and (-29)\/198 - ((-18)\/81)\/1.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*i + 1 - 3 + 25)*(i**3 - 3*i**3 + i**3)*(4 - 1 - 1).\nAnswer: 26*i**4 - 46*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 238.208 centuries in years?\nAnswer: 23820.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 9*r + 32. Let w be q(-10). Differentiate -21*n**3 + 46*n**3 - 23 - w with respect to n.\nAnswer: 75*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 17097 = -3*n + 14661, 2*n = 5*x + 21153. Suppose -21*w + n = 15*w. Calculate the remainder when w is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -1, 0.1, -1\/47, 1.35, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-8)*b*b**(2\/21))**(-39))**6 assuming b is positive.\nAnswer: b**(11310\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (512 - 512 - 56*p)*(2*p**2 + 9*p**2 + 17*p**2).\nAnswer: -1568*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 0, -4, 4, -2460, 5 in descending order.\nAnswer: 5, 4, 3, 0, -3, -4, -2460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 9*t**2 - 1. Let b be s(1). Calculate the greatest common factor of 56 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from {q: 1, g: 1, l: 1, e: 1, c: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 864208312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 12*l - 317. Let s be g(26). Suppose 0 = 3*p + 7 - 4. Let m = -7 - -7.5. What is the smallest value in p, s, m, 1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + 1 + 4 + -10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 43 = -r, 2*r - 51 = -0*c + c. Suppose 84 = -5*i + 7*i. What is the greatest common factor of i and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 15 = 4*f + f, f - 4*b = 3. Let x(c) = c**2 - 6*c + 6. Let l be x(5). Suppose -4*o = -4*s - 24, 0*o = 5*o - 20. Put s, f, l in decreasing order.\nAnswer: f, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8493 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**3\/3 + 23*b. Let t(h) be the second derivative of -20*h**3\/3 + 30*h. What is z(t(a))?\nAnswer: -80*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of 0 - 1\/120*l**6 - 2*l - 2\/3*l**3 - 10*l**2 + 1\/20*l**5 + 0*l**4. Factor h(s).\nAnswer: -(s - 2)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122604331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 59*s**2 - 3*s - 13. Let x = 51 - 57. Is a(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(-56*u + 11*u - 5*u) - u + 0*u + 3*u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-6 - 4) + 12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -65*j + 22. Let m(q) = -q**2. Give m(i(r)).\nAnswer: -4225*r**2 + 2860*r - 484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (860\/(-165636)*(-30)\/(-50))\/(2\/12)\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (858\/(-715))\/((-58)\/(-20)*-4)?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 0*o + 25. Suppose o*a - 44 = 16. Calculate the remainder when 53 is divided by (a\/14)\/(2\/42).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -21\/81086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -1\/2*x**2 + 3*x + 1 + 11*x**4 + 0*x**3. What is the second derivative of g(p) wrt p?\nAnswer: 264*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 116.8000519 - 116.8. What is l rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 142.02\nAnswer: 42.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*a - a. Let m(s) = s**2 - 19*s + 20. Let t be (-407)\/(-22) + (-1)\/2. Let k be m(t). Calculate the highest common divisor of k and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57225*p + 171663*p - 57219*p - 19*p**3 - 57219*p.\nAnswer: -19*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -496, -640, -866, -1180, -1588, -2096, -2710?\nAnswer: -3436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - 68 = 8*t. Calculate the remainder when 290 is divided by (-3)\/t - (-4893)\/84.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(-5*l - 7 + 9*l + 3*l).\nAnswer: -7*l + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 - 15 + 14 - h**3 - 4*h**2 + 0*h**2 to x*h**3 + q*h**2 + z*h + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 7. Let i(k) = -k**3 + k**2 - k - 1. Let y(m) = -3*m**3 - 5*m - 2. Let j(w) = 4*i(w) - y(w). Let h be j(4). Solve -g*l + 14 = -h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -179*m - 1603. What is the units digit of t(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 10:02 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*((sqrt(99) + 0)*-1 - (-2 + 2 + sqrt(99))))**2.\nAnswer: 10692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12719307649 and 11.\nAnswer: -12719307638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -2\/5, -1, -2 in decreasing order.\nAnswer: 18, -2\/5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8282709.\nAnswer: 3, 37, 8291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2667922 is divided by 725.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2)\/(w\/(w*w**(-4\/7)))*(w\/w**4*w*w)\/w**(-5) assuming w is positive.\nAnswer: w**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 a when two letters picked without replacement from dxddahdxxd?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/(-6)*(61 + -1) is divided by -26 - -15 - -34 - 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6d833 (base 16) in base 10?\nAnswer: -448563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 0. Let q = -2206 + 2208. Which is the nearest to -1? (a) q (b) n (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-28) + (-1)\/2. Let g = 17 + -16. Is c != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.094 times 917630?\nAnswer: 86257.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*i + 380*i - 915*i = -847 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-5)*5\/(-2). Suppose p + 2*n + v = 1, 0 = 4*n + 8. Suppose p*q + 4411 = 4*d, 5*d + 2*q = 4*d + 1089. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -250890450*b**3*n**3 - 8*b**2*n**3 - 3*b**2*n + 80*b*n**3 + 15*n + 48 wrt b.\nAnswer: -1505342700*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493758.\nAnswer: 2, 3, 27431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**3 + 40*v**2 - 2*v + 97. Let b be s(19). Solve -778 = -y - b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 295 = -59*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/41899 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6eb445 (base 16) to base 7.\nAnswer: -115444631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1094, 1394, 1692, 1988, 2282?\n\"Answer: -j**2 + 303*j + 792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 10. Let c be y(9). Calculate the common denominator of (-11)\/(297\/30) - 1\/c and 37\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223 - 60*w**2 + 223.\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9199499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*10.\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -799, -908, -1149, -1588, -2291, -3324?\nAnswer: -4753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10.1365*0.16\nAnswer: -1.62184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -1 - 5 + 2 + 1 - 17*s + 3*s**2. List the prime factors of k(13).\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**4))\/l*l**(2\/9))\/(l**(-2\/11)\/(l*l*l\/l**(3\/4))) assuming l is positive.\nAnswer: l**(-929\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253142, 253015, 252888, 252761?\nAnswer: 252634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 7, 26, 65, 130, 227, 362, 541?\nAnswer: 770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t + 5*q = -96, 2*t - 60 = 2*q. What is the remainder when t is divided by ((-30)\/(-9))\/(1\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence irr when three letters picked without replacement from {f: 2, r: 8, c: 1, i: 1, t: 1, h: 3}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**3\/3 + 7*s**2\/2 - 8*s - 12. Let k be r(-8). Solve 2*i + 2*i = k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3028442*c**3*s - c**2*s - 101*c**2 - 10*c + 425*s - 1 wrt c?\nAnswer: -18170652*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 - -2.3. Let m = -2607 - -80819\/31. Which is the third biggest value? (a) -0.3 (b) f (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4717026 - -4723630.4432. Let m = 6609 - i. Let q = m + -4.6. What is q rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 13*o**6\/60 - o**5\/20 + o**4\/4 - o**3\/3 - 6*o**2. What is the remainder when 105 is divided by g(1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (121 - 53 - (0 - -11)) + (0 - -1) + -7?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7.36 (b) -0.04 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -20*c + 30. Let g(x) = 23*x - 29. Determine 3*g(p) + 4*i(p).\nAnswer: -11*p + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/(-10) + 0 + 2. Let v = -16.77 - -16.47. What is the nearest to -1 in -5, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1616 + -1620. Sort k, -1, 3, -2, -5 in increasing order.\nAnswer: -5, k, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -151*b + 2567. Calculate r(24).\nAnswer: -1057","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/216765 and 62\/297?\nAnswer: 7153245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*a**3 - 4*a**2 - 345*a?\nAnswer: 204*a - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20281 - -17736?\nAnswer: -2545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 0. Let w = -2.72 + -0.28. Sort 4, p, w, 2 in decreasing order.\nAnswer: 4, 2, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/15 (b) 31 (c) -2372 (d) -2 (e) -2\/19 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qw when two letters picked without replacement from wvpyq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*c - 5*w, 22 = 21*c - 19*c - 2*w. What is the highest common factor of 190 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30062?\nAnswer: 2, 15031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3696 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -17*z**2 + 1 - 6 + 5. Let b(d) be the first derivative of d**4\/6 - 18*d - 21. Let u(t) be the first derivative of b(t). Determine r(u(o)).\nAnswer: -68*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8477, -0.1 in decreasing order.\nAnswer: -0.1, -2, -8477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1030*f**2 + 3149*f - 2115 + 4299 + 4692*f + 1770 - 1031*f**2 wrt f.\nAnswer: -2*f + 7841","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -21*q + 887. Calculate r(45).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 2269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/4 - 171*x**2\/4 + 5967*x\/4 + 351135\/4.\nAnswer: -3*(x - 45)*(x + 51)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/507552064 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 619\nAnswer: -123.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8902006 rounded to one decimal place?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.149 and 0.15.\nAnswer: 0.02235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -3614*g**5\/5 + 3183*g + 5939. Differentiate k(q) wrt q.\nAnswer: -14456*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**8\/6720 - z**7\/1680 - z**6\/240 + 53*z**5\/20 + 90*z**2. Let f(p) be the third derivative of g(p). Calculate f(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -96121, -96148, -96203, -96292, -96421?\n\"Answer: -t**3 - 8*t**2 + 4*t - 96116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - -1*3\/(-6). Let i = 5 - 5.1. Which is the closest to -0.2? (a) n (b) i (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -11\/1834136?\nAnswer: -11\/1834136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.04 - 2.96. Let w = h - -3.1. Which is the smallest value? (a) -0.5 (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -389, -1383, -2987, -5201?\n\"Answer: -305*p**2 - 79*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 9. Factor b*c**2 + 2*c**3 + 2*c - 7*c**2 + 3*c - 3*c.\nAnswer: 2*c*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 317655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 402 and 170706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6827\/63 - 6\/27. Let t = x - 108. What is the second biggest value in 1\/4, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87652668841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**2 - 5*r - 5. Let n(l) = 5 - 2 - 2. Let q(y) = -h(y) - 5*n(y). Let o(c) = -c**2 + c + 1. Calculate 2*o(i) - q(i).\nAnswer: i**2 - 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 1788*p\/5 - 712\/5.\nAnswer: -4*(p + 89)*(5*p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 9*v - 8. Let n(q) = -43*q + 39. Determine -2*n(r) - 11*s(r).\nAnswer: -13*r + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -4*i - 3*m + 48, -3*m = 3*i - 30. Let f = 10 - i. What are the prime factors of f*(0 - -2)*-7?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -28\/5*f**5 + 0*f**3 - 45\/2*f**2 + 0*f**4 + 33 + 0*f. What is the second derivative of r(v) wrt v?\nAnswer: -336*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 9*q**2 - 5*q - 1. Let t be h(-3). Let v = -64 - t. Let o = v + 68. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6 = -18, 0 = -3*t - k + 51. What is the remainder when 179 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o - 11. Let z be f(8). Let d(m) = 262 + m**3 + 250 - z*m**2 - 499. What is d(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 0.1. Suppose -2*r = 3*w - 27, w + 39 - 49 = -r. Which is the fourth smallest value? (a) -0.3 (b) r (c) u (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 443.6 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, t: 1, m: 4}. Give prob of sequence txm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -229, 3, 36081 in decreasing order.\nAnswer: 36081, 3, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 16, h: 1, o: 3}. What is prob of picking 2 o and 1 h?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 300 and 6480.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2793 + -5?\nAnswer: 2789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 185252313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1*0.0127\nAnswer: 0.0127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5420745 greater than or equal to 5420747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -3 - 1) + 5 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 5:45 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-87)\/(-8)*42\/242. Let r be -12 - -11 - ((-729)\/242 - -2). Let g = l - r. What is the common denominator of g and -12\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11\/154)\/((-2)\/(-7)). What is the closest to 1\/2 in u, -0.2, 17?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s - 6. Let p be l(5). Let x = -3.1 - -3. Put -2, p, x in descending order.\nAnswer: x, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2370*g*s**3 - 230*g*s**2 + 488064*g*s + 6*s**3 - 81*s wrt s?\nAnswer: 14220*g*s - 460*g + 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 12*z + 53. Determine m(-11).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**2 - g**3 + 2 - 26948920*g + 26948918*g + 38*g**4 - 133*g**4 in the form d*g + q*g**3 + p*g**2 + j + u*g**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8179, -16388, -24595, -32800, -41003, -49204, -57403?\nAnswer: -65600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (59 - 63)*1\/(-1). What is the derivative of -317 - 3*g**3 + 185 + 5*g**3 - 75*g**k wrt g?\nAnswer: -300*g**3 + 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 1. Let c = 16955\/4 - 4238. What is the fourth biggest value in l, 0.2, c, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 10*f**2 - f + 2. Let i be p(-10). What are the prime factors of (-12)\/10*(-560)\/i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 197795?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 220 + -4 - 168078\/1542?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s + 9*s**2 + 17*s**2 - 6*s - 39*s**2 + 10*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 92*o - 33. Let c be x(15). Suppose 3*f + c + 1893 = 0. Let i = f + 530. What is i rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/(10\/13))\/((-6)\/12). Let l be (-8)\/(-2) + (-5 - -6) + o. Sort -5, -2, l in increasing order.\nAnswer: l, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 7 + 21 = 0. Let s be 2\/i + 66\/14. Suppose 7*n = 9*n - 10. Solve -2*g - 3*g - 3 = -3*a, 0 = s*a - n*g - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + j)*((-12*j + 2*j + 23*j)*(-7 - 6 + 3)*(0 + 0 - 2) - j - 1 + 1 + (3*j - j + 0*j)*(1 + 3 - 5) - 2 + 2 + 4*j).\nAnswer: 261*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79993.\nAnswer: 167, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154775.\nAnswer: 5, 41, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0212 and -67.5612.\nAnswer: -1.43229744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/301 or 612.1?\nAnswer: 612.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -17*h**3 - 29*h**2 - 2*h - 7. Let w(p) = 10*p**3 + 16*p**2 + p + 3. Let v(y) = 3*d(y) + 5*w(y). Let t = 43 + -50. Calculate v(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v. Let x(z) be the third derivative of -3*z**5\/40 - z**3 + 3*z**2. Let k(u) be the first derivative of x(u). Calculate j(k(d)).\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in 0.06, 2982, -3\/8?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4444, 13420, 22396, 31372, 40348?\n\"Answer: 8976*j - 4532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m**2 - 4*m - 5. Let h(w) = -5*w**2 - 5*w - 5. Let d(p) = -6*h(p) + 5*s(p). Factor d(z).\nAnswer: 5*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.580012 months to years.\nAnswer: 1.215001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5))**(1\/6)\/(x*x\/(x\/(x\/(x**(2\/39)\/x)))*x*x\/((x*x**12*x)\/x)) assuming x is positive.\nAnswer: x**(1583\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 5*j - 4. Let i be n(4). Suppose i = 2*a - 24. Let c = -32 + a. Calculate the greatest common factor of c and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 3*m**5\/20 - 5*m**2\/2 + 2. Let l(w) be the second derivative of q(w). Let p(k) = k. Give l(p(n)).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - 2*sqrt(756))\/(sqrt(7) - (-5*sqrt(35)\/sqrt(5) + sqrt(7))))**2.\nAnswer: 363\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w**2 - 2*w**2 + 5*w**2)*(410 + 291 + 598) in the form x*w**2 + g*w + p and give x.\nAnswer: 1299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**3 + 2*h**3 + 2*h**3 + (-7*h + 3*h + h)*(3 - 3 + 2*h**2) - 4 + 52*h**3 + 9 - 53*h**3 to c + k*h + w*h**3 + s*h**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5256 = -23*t + 4865 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2 - 250*d - 6 + 1 - 394*d. Let q be v(4). Is q\/(-45) + 4\/(-10) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w - 19. Let b be l(-38). Put b, 0.4, 3 in ascending order.\nAnswer: b, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w = 14*w + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*r + 4*r - 5*r**3)*(2*r - 6*r + 2*r) + 0*r**4 - r**4 - r**4)*(4 + 7 + 44) + 1 + 3*r**4 - 1 + (4*r**3 - r**3 - 2*r**3)*(0*r - 2*r + r).\nAnswer: 442*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d**3 + 2*d + 2. Let a = 36 - 30. Let p(q) = q + 11 - a - 4. Determine -m(j) + 2*p(j).\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1369 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 196617 times -8.56?\nAnswer: -1683041.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*r**3*z + 221*r**3 + 17*r**2*z + r**2 - r + 23*z wrt z.\nAnswer: 2*r**3 + 17*r**2 + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12956472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 13. Suppose -2*m + 2*z + 11 = -v, -5*z - 20 = 0. Suppose 3*g = 2*y - 87, -2*y + m*g + 92 = -0. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - -81. Suppose 3*h = -2*i - w, -3*i + 69 = -0*h - 3*h. Which is greater: h or -21?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-21)\/14)\/((-6)\/8). Suppose 0 = -d - x*l + 4, 0*d = d - 5*l - 39. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -2, -4, -1460.2, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -190.2 + 177. Let b = v - -13.2000125. What is b rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72085720.\nAnswer: 2, 5, 7, 101, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*m + 58*m - 454 = -c, -3*c - 2*m + 1332 = 0. Does 26 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 172819 - 172817. Factor 10 + 7\/2*i**h + 1\/4*i**3 + 11*i.\nAnswer: (i + 2)**2*(i + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0 - 12*l**3 + 2*l + 10*l**3 + 0 wrt l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**3 + 25*p = 0. Calculate p.\nAnswer: -5, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/2 (b) 0.1 (c) 0 (d) 18 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 + (-19 - 10) - 21.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.248 and 0.47?\nAnswer: 0.11656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*r**3 + 2596949*r**2 + 31443100.\nAnswer: -9*r**2 + 5193898*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(7896\/10481) + 28?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -753 = 17*d - 14761. Calculate the greatest common divisor of 16 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (2 - 2))*(-34)\/17. What is the derivative of 88*g**4 - 15*g**2 + 89 - 13*g**f + 28*g**2 wrt g?\nAnswer: 352*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 58*b + 39. Let w(h) = h + 19. Let v(d) = -d**3 + 11*d**2 - 18*d. Let i be v(9). Let y be w(i). Is x(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i - 3. Let m = 4 + -6. Let s(b) = -2. Let q(n) = -n + 1. Let w(h) = q(h) + s(h). Let u be 20\/(-5) + 15 + -5. Calculate m*j(v) + u*w(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - w - 21. Let r(j) = -5*j**3 - 6*j + 3388. Give -6*b(v) + r(v).\nAnswer: v**3 + 3514","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 49*j**5\/10 + 9*j**4\/2 + j - 21. What is the third derivative of p(x) wrt x?\nAnswer: 588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) 1\/3 (c) -2 (d) 3\/850 (e) -1\/4 (f) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -215 + 220. Suppose -48 = -2*l + 3*k, 20 = 2*l - 2*k + 6*k. Solve -l = -t*f + 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 5*u**2 + 6*u + 5. Let a be i(-3). Is 416\/a + (-6)\/30 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(396) - sqrt(396))**2*-5 + 1 + (sqrt(363)\/(sqrt(55)\/sqrt(5)))\/sqrt(3)*4.\nAnswer: -4 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 82*v**3 - 11560*v**2 - 283*v + 146. Give s(141).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2279010786 + -4356089243. Let y = 2077078466.69999927 + l. Let q = y + -9.7. What is q rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -22993.\nAnswer: 22987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (15\/21 + -1 - (-100)\/(-140)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 10 + -8 - -1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149480*n**2 + 30*n + 33*n - 64*n.\nAnswer: -149480*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t - 92. Let u(n) = -10*n - 230. Let z(i) = 12*s(i) - 5*u(i). Let j be z(-20). Solve -q - j = -3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27 + -92964?\nAnswer: -92937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -13. Let t be (w + 2)*(-20)\/8. Let n(k) = -k - 1. Let c be n(t). Solve u + 2 = -2*u - 5*o, -3*o - 10 = c*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j**2 - 42*j + 47. What is x(15)?\nAnswer: 542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8560404*q**2 + 2*q*t + 39433917*t wrt q?\nAnswer: -17120808*q + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31196722?\nAnswer: 2, 59, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 79591\/19 + (2 - 12). What is j rounded to the nearest 100?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = -40*b + 41*b. Let g = b + -212. Calculate the lowest common multiple of 5 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q + q - 3*q + q - 2*q + 2*q + 0*q - 5*q + 3*q + q + 4*q - 4*q - 5*q + 2*q + 5*q + 0 + 0 + q + (1 - 4 + 5)*(-q + q + q) + q + 0*q + 0*q - q + 4 - 4.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*l = 2*u + 78, -5*u = -l - 158. Let n(i) = -31 + 4*i**2 + u. Let q(x) = 4*x. Determine q(n(y)).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1836*l**3*o**3*x**2 + l**3*o**2*x**2 - 14*l**3*o*x - 2*l**3*x**2 + l**2*o**2*x - l*o**3*x**2 - 14*l*o**2 wrt o?\nAnswer: -11016*l**3*x**2 - 6*l*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + -1. Let i = -6 - b. Is (-2)\/i - (-180)\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*j - 5*j**2 + 60*j.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -764 + 778. Let s be (-8)\/24 - 26\/(-6). Find the third derivative of -163*z**s - z**2 - o*z**2 + 188*z**4 wrt z.\nAnswer: 600*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 394*n**2 - 73*n**2 + 336*n**2 - 5 - n**3 + 4 to c*n**3 + m + p*n + h*n**2 and give h.\nAnswer: 657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8787*b = 8791*b + 5*k + 112, -54 = -2*b + 3*k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41547459*r**4 + 2*r**3 + 331562306 with respect to r.\nAnswer: 166189836*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 800 = 3*w, -q - 820 = 197*w - 200*w. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*l**4*p**2 - 20227*l**4*p - l**3*n + 1400*l**2*n*p**2 + 2*l**2*p**2 - 2*l**2 - p**2 + 5*p wrt l?\nAnswer: -384*l*p**2 - 485448*l*p - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 + -34. Calculate the least common multiple of 1 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (1 + 25) - (-7 + (33 - 25))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 133 + 13)*(-15*d**4 - 120*d**4 + 4*d**4).\nAnswer: 17030*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/442 and -139\/74496.\nAnswer: 16463616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-63 + -2)*(0 + -1). Suppose 562 = 4*a + 22. Suppose -99 - a = -9*d. Calculate the greatest common divisor of f and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*c**4\/5 - 39769*c**3\/5 + 348534*c**2\/5 - 635004*c\/5 - 31752 = 0. What is c?\nAnswer: -2\/9, 3, 6, 4410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -55*p + 0*p**3 - 1\/4*p**4 + 5\/56*p**8 - 1\/6*p**7 + 1\/2*p**2 - 2 + 0*p**5 + 0*p**6. Find the third derivative of f(m) wrt m.\nAnswer: 600*m**3 - 420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001121 to 5 decimal places.\nAnswer: -0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0.02, -846, 5 in descending order.\nAnswer: 10, 5, 0.02, -846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k + 3*k + 51*k - 6 - k. Let p be r(1). Let u = 85 - p. What is the greatest common divisor of 36 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2734 or 122692?\nAnswer: 122692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*g = 5*k - 202, 3*k + 3*g = 297. What is the remainder when k is divided by 41?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 27 - 11. Suppose z*c + 0*c = 20. Find the third derivative of -c - 4*n**3 + 0*n**3 + 4*n**2 + 5 wrt n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.3 - 10. Let i = 0 + 0.1. Let m = i - d. Is m <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + 0 + 2\/(-2). Suppose -3*u + 14 = s. Suppose u*r - 4*l = 4, -3*r + 8*r + 3*l = 55. Calculate the greatest common factor of 16 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2227641485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355684 is divided by 14219?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002088308496 rounded to seven decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 356*u - 3918. What is o(11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (188\/16)\/(1\/(14\/7*-2))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a centimeter in millimeters?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 6:04 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101010 - 101000?\nAnswer: 101000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25136 is divided by 1677?\nAnswer: 1658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7354627, 7354632, 7354641, 7354654, 7354671, 7354692, 7354717?\n\"Answer: 2*x**2 - x + 7354626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/15)\/(72\/30)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1300 divide 72563400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 11:14 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 9*m**2\/2 + 2*m - 3. Calculate the remainder when (-52)\/(-234) - ((-572)\/18 + 2) is divided by k(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -422?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 15. Let h = -6 + 10. What is the smallest common multiple of h and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20321 != -20765?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -32 + 46 + 19 - 58.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37722.\nAnswer: 2, 3, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -32. Let f be -2 - 132\/(-21) - i. Let q = 7.1 - 7. What is the biggest value in f, 0.02, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-30)*(180\/2430)\/(24\/9)\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1292864 or 9?\nAnswer: 1292864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 - -1.3?\nAnswer: 420.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (26 + -104)*2\/(-6). Calculate the greatest common factor of y and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -6*g**3 - 15*g**2 - 17*g - 4. Let u be s(-1). Which is the nearest to -0.1? (a) 3 (b) 1\/6 (c) 20 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10370\/9 + (-12)\/(-9)*(-23)\/138 and 576.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjxj when four letters picked without replacement from {j: 3, l: 1, z: 1, m: 5, x: 4}?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13141195 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 1. Let d be i(5). Suppose 3*o - 2*x = -d*x + 8, 8 = -2*o - 4*x. Suppose -1350 = -27*r - 1107. Calculate the remainder when r is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1292, -3568, -8428, -13288?\n\"Answer: -4860*s + 6152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k - 1346 = -22*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22, 38, 68, 118, 194?\n\"Answer: n**3 + n**2 + 6*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m + 632160 = -489120. What are the prime factors of m?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)*1 - (sqrt(2) - (-4 + sqrt(8)\/sqrt(4)))**2.\nAnswer: -16 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in -4, 2\/17, -231?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10370 - -10347. Let b = 0.8 + -5.8. Let v = 4 + b. Which is bigger: k or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i**2. Let b(l) = 3*l + 2. Let s(o) = 7*o + 5. Suppose -3*w = 16 + 29. Let f(v) = w*b(v) + 6*s(v). Determine t(f(z)).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.438 - -1.32. Let c = 0.27 + r. Round c to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 130*t**3 - 170*t**2 + 630*t + 834. Let j(z) = -54*z**3 + 68*z**2 - 252*z - 334. Let l(f) = -12*j(f) - 5*k(f). Let l(b) = 0. Calculate b.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v - 14. Let i be u(7). Suppose i = 3*b + 3*b - 0*b. Solve -3*s + 0*s = b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - k - 43. Let s be m(-6). Let g be (-189)\/(-39) - 2\/(-13). Suppose 31 = 5*p - 4*r, 0 = -2*p + r + g + 5. Put s, -4, p, -3 in ascending order.\nAnswer: -4, -3, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 - 44. What is the closest to 2 in i, 0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/24)\/(v\/(v**(4\/19)\/v)) assuming v is positive.\nAnswer: v**(-797\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(-17)))**40 assuming g is positive.\nAnswer: g**(-680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**9\/1260 + d**6\/80 + d**4\/12 + 9*d. Let i(m) be the third derivative of g(m). What is the second derivative of i(y) wrt y?\nAnswer: 144*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00949904 to 4 decimal places.\nAnswer: 0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19801, -19828, -19889, -19996, -20161, -20396, -20713, -21124?\nAnswer: -21641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2064.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -1.8. Let w = d - -0.1. Let o = w - 0.30001. What is o rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7675 is divided by 483?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1949 = 4*k + 797. Suppose -k*m + 504 = -280*m. What is the remainder when m is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8537.18 grams in micrograms?\nAnswer: 8537180000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -2, 3, 9.8, 0.333.\nAnswer: -2, -2\/9, 0.333, 3, 9.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwowoyobgbwkk. Give prob of picking 3 b.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 3)*1*0. Let p(n) = n - 70. Let c be p(k). Let l be (c + -1)*-1 - 1. What is l rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 0*f**3 + 6*f**2 - 1\/48*f**4 + 0*f + 1\/480*f**6 + 0 - 1\/240*f**5. Factor a(y).\nAnswer: y*(y - 2)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43 + 2142?\nAnswer: 2225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -308261, -616567, -924873, -1233179, -1541485, -1849791?\n\"Answer: -308306*a + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1746 is divided by 177?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/(-48) + -1 + 3.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9524279 is divided by 234.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(114) - sqrt(114))\/((sqrt(30) - (-1*sqrt(30) - sqrt(30)))\/sqrt(5) + sqrt(6)) + ((sqrt(684) - (sqrt(684) + -1)*-2) + sqrt(684) + 4)**2.\nAnswer: 189*sqrt(19)\/2 + 10948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 2*v**4\/3 - 3*v. Let c(m) = 8*m. Let f(d) = -15*d. Let h(u) = 11*c(u) + 6*f(u). Determine h(p(s)).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 67740881 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(117)\/(sqrt(9) + (1*sqrt(54))\/sqrt(6)))**2 + 2).\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -g - 5*l + 59, l = -g + 4. Are -1\/11 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 6318.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 13*k**2 - 7 + 6 + 0.\nAnswer: -13*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -18. Suppose -4*h - r = -317, g*h = 2*h + 4*r + 292. Suppose 0 = 3*f - 75 - h. Is f a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -202.7 + 203. Let f = 6.4 - 6. Let w = i - f. Which is the closest to w? (a) 1\/4 (b) -1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -439 + 231. Let w = -205 - s. Suppose 0*a = -3*a. Solve 0 = 5*t - 0*o - 2*o - 14, t - w*o - 8 = a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = -33452 - 1984. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 456, 1787, 4006, 7113, 11108, 15991, 21762?\nAnswer: 28421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 - 547*a**2 - 68.\nAnswer: -547*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(432) + -1)*-2 - (-3 + sqrt(432) + sqrt(432)*2 + sqrt(432))) + -5)*-1 + 1)**2.\nAnswer: 144*sqrt(3) + 15553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = -4 + 24. Suppose -8 = 4*a + 4*v, x*a + 3*v + 0 = -9. Suppose 142*s + a = 145*s. Solve 0 = -2*q + s + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3070427 * 11.\nAnswer: -33774697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -10. Which is bigger: 33 or g?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*2\/(-8))\/((-6)\/(-8)*4700\/705)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -2.99?\nAnswer: 2.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11335?\nAnswer: 5, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**8)**(-3\/44)\/(n*n*n\/n**(-2\/7))**(-15) assuming n is positive.\nAnswer: n**(3753\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + 15 + (-44 - -78)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 2596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/24690007 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 964*i**2 + 192*i**2 + 1192*i**2 - 308*i**2 + 1.\nAnswer: 2040*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11, -51, -153, -347, -663, -1131?\n\"Answer: -5*l**3 - l**2 - 2*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -619*z + 3*z**2 - 2*z**2 + 618*z. Let p(t) = -2*t - 19. Let l be p(-9). Let c(w) = -w - 1. Suppose n + 5 - 7 = 0. What is l*c(v) + n*g(v)?\nAnswer: 2*v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1267634 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (6 + 1 - (64 + -68))) + 10 - -12?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 11*x - 2. Determine l(4).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66292177 is divided by 4143261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 h when two letters picked without replacement from eeeekkekeekeeh?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 10*v + 8. Let n be y(-6). Let s be 27\/1 + -3 - -4. Let h = n + s. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27)\/(-6) - 1\/(-2). Let v(t) = -p*t + 4*t + 2*t. Let q(o) = -63*o - 120. Let g(b) = 23*b + 41. Let x(a) = -11*g(a) - 4*q(a). Calculate v(x(l)).\nAnswer: -l + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**2 + 5*r - 5. Let b = 749 + -754. Let w(u) = 5*u**2 - 8*u + 6. Let v(x) = -x - 1. Let z(m) = -v(m) + w(m). Give b*z(i) - 7*s(i).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (520\/32)\/((-1)\/(-52))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 393 = h, 0*m - m = -3*h - 121. List the prime factors of m.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3466 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 2*b + 0*b - b)*(-14 - 9 + 2) + 0*b**2 + 0*b**2 - b**2.\nAnswer: 20*b**2 - 21*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.222 + 2.222. What is the closest to p in -0.2, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -607693, -1215397, -1823107, -2430823, -3038545?\nAnswer: -3646273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 7\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**4\/4 + i**2\/2 + 2*i + 7. Let w be n(0). What are the prime factors of 42 + 9 + 1*w?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v**2 - 44*v - 20. What is s(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -384\/11? (a) 0.4 (b) 0.1 (c) 1\/14 (d) -2\/7 (e) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a meter in centimeters?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/5, 1245, -0.04, 0.4, 1, -2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 30. Let t = 9607 + -9578. Let p = t - c. Solve p*g = -x + 3*x - 10, 4*g = -x - 15 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.339 + 3.219. Let f = 2.12 + x. Which is the nearest to -1? (a) -3 (b) -2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 5:56 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -10*t + 166. Let y(c) = 2*c - 33. Let w(p) = 3*f(p) + 14*y(p). Let l be w(19). Sort -3, 1, l, 0 in decreasing order.\nAnswer: 1, 0, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15613 divided by 128.\nAnswer: -15613\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4) + 9\/(-2). Let s(t) be the third derivative of t**6\/120 + t**5\/12 - 4*t**2. Give s(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-3) + 36 + (-535)\/15. Which is smaller: m or 47\/92?\nAnswer: 47\/92","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68.0209 - 68. What is a rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) - (sqrt(77) - -3*sqrt(77))*4))\/sqrt(7).\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + (-43)\/1)*4\/(-10). Suppose -y + 2 - 10 = -3*u, -4*y = -f. Let k be (-400)\/(u\/(4 + 144)). What is k rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 119172, 119174, 119176?\n\"Answer: 2*w + 119170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-5))\/(-30*11\/(-1650))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**3\/4 + 21*h**2\/4 + 33*h\/4 + 15\/4 = 0. Calculate h.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 313, 1218, 2731, 4858, 7605, 10978, 14983, 19626?\n\"Answer: o**3 + 298*o**2 + 4*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016)*1)\/(2*sqrt(2)*-5).\nAnswer: -6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) 2\/9 (b) 2\/7 (c) 3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1553998 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 454 + -452. Factor -2\/7*x + 4\/7*x**3 + 0 - 2\/7*x**5 + 0*x**4 + 0*x**m.\nAnswer: -2*x*(x - 1)**2*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 174*t - 8702. Determine a(49).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -t**2 + t - 2. Let m(v) = 2*v**3 + 4*v**2 + 1. Let b be m(-3). Let r be 4\/6 - b\/(-3). Determine o(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100010100110 (base 2) to base 15.\nAnswer: -313b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*t - 12, -5*h + 16 = 1. Is 8 a factor of -2*(-1 + (t - 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**4 - p**4 + 0*p**4)*(0*p - 5*p + 4*p)*(31 + 26 + 10).\nAnswer: -67*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -6*x + 150. Suppose x = 8*k + 2. Let u(s) = -3*s + 22. Let y be u(k). Solve g + 9 = -0*h - 2*h, 0 = -4*g + y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**2 - 686*b**3 + 1061*b**3 - 1404*b**3 - 2059*b**3 - 232*b**3 as k*b + d + r*b**3 + i*b**2 and give r.\nAnswer: -3320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y - 7. Let r(a) = -2*a - 2. Let w be -1 - (0 - (4 - 0)). Let h be r(w). Let k = -2 - h. Give g(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-54)\/(-12)*(-2)\/3. Let j = z + 2. Is (2 + j)\/(2\/422) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 26*a**2 + 14*a - 37. Is c(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1304 (base 5) to base 3.\nAnswer: -21120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f + 42. What is v(-9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.4453 - 0.4453. What is the fourth biggest value in l, -6, -2\/9, -1.8, 9?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 53 = -u - 43, -u - 2*q = -7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 122528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 201 + -2?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1086400 to the nearest ten thousand.\nAnswer: 1090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**4\/6 + h**3\/2 + 19980*h. Let p(x) = 3*x**2 - 2*x. Let j = -2 - -8. Suppose -3*y + 0 = j. What is y*i(b) - 3*p(b)?\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*x + 761, -x + 7*q + 133 = 3*q. Suppose -483 - x = -4*m. What is the remainder when m is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -1. Suppose -4*c - 11 = 5*h, c - h = l - 2. Is c greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 157 - 101. Let u = x - 56. Let d = -5 + 9. What is the second smallest value in u, -5, 4\/3, d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 469 - 523 = -2*r. Solve r = 5*o + 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3*z + 5)*(-4*z + 468 - 468)*(3*z - 3*z - z) to the form t*z**3 + a + v*z**2 + s*z and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*t - 20*t - 78. What is the highest common divisor of t and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4278, -4361, -4578, -4995, -5678, -6693, -8106?\nAnswer: -9983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a = 104. Let h = 96 - a. Let n be 11\/((0 - 0) + 1). Calculate the greatest common factor of h and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m + 3. Suppose r + 82 = -4*r - 3*t, 2*r + 44 = -4*t. Let o = 10 + r. Let b be (0 - (-2 - o))*1. What is v(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3228, 1, -0.1, 7 in decreasing order.\nAnswer: 7, 1, -0.1, -3228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/1674 and -14\/42471.\nAnswer: 2633202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1\/(-2) - (-247)\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 23*v + 103. Calculate s(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -9. Suppose -56 = -5*z + 2*b, z + z - 5 = -v*b. Solve 0 = 2*j - 4*j + z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/((-21)\/140*-10).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -48, -62, -82, -108, -140, -178?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 8*w + 515*w**2 + 5*w.\nAnswer: 515*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8, 2\/7, 4, 2 in descending order.\nAnswer: 8, 4, 2, 2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + r + 2*r = 2, -4*r - 4 = 0. Let h = -1817759\/336 + 5410. Is h less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 11:00 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.4 + -1.52. Let b = -4.88 + a. Let o = 0.393 + -0.093. Sort o, 1\/4, b in decreasing order.\nAnswer: o, 1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 332 + -330. Suppose -9*d = -16 - w. Calculate the lowest common multiple of d and 320.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*z)*(1 - 1 - z) + 172*z**2 - 111*z**2 - 98*z**2 - 17*z**2 + 28*z**2 - 13*z**2 + 2*z in the form d + h*z + u*z**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4883163127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 61 divided by 264\nAnswer: 61\/264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 36 = 3*o + o, -2*o - 4*k + 8 = 0. Let l = o + 6. Let r = 2.9 - -1.1. Which is the third smallest value? (a) l (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 103 = -3*a, -2*a + 3 = 4*u - 55. Calculate the greatest common factor of a and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4221 divided by 1407\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3\/9 + 46*m**2\/9 - 172*m\/9 - 544\/9 = 0. Calculate m.\nAnswer: -2, 8, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 4*d + 0)*(-3*d**2 + 0*d**2 + 7*d**2).\nAnswer: -16*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at least 2136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*g**2*k**3*s - 5*g**2*s**2 + 11*g**2*s + 168*g*k**3*s**2 + g*k**2 wrt s?\nAnswer: -10*g**2 + 336*g*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**1)**(-13\/7)\/(g\/(g*(g\/(g\/(g*g**1*g)))\/g*g))**39 assuming g is positive.\nAnswer: g**(793\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -14*o - 7*o**3 + 0*o**2 + 1 + 8*o**3 + 16*o - o**2. Give a(-3).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9231938*k**3 + 4615965*k**3 + 4615993*k**3.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 364\/17 and -47.169 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-12)\/(-9) - (-55)\/60\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 5*i + 30 = 0, 4*r + 0*i - 16 = -2*i for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.7632989 to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 23029653597.383.\nAnswer: 23029653597.483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99404?\nAnswer: 2, 24851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 375 = 5*z, k = -0*k - 5. What is the remainder when z is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 4.3. Let t = -5.4 - -5. Which is the nearest to 0.1? (a) -5 (b) i (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -2. Let d(z) = 6*z**2 - 2*z - 5. Let y(l) = 17*l**2 - 6*l - 14. What is m*d(n) - 3*y(n)?\nAnswer: -3*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 788, 688, 588, 488?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 340103 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + -3. Let c = l + 16.06. Round c to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6721761 (base 11) to base 6.\nAnswer: -1100355122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + 0*l + 0*l + (0 + 2 - 1)*(2*l + 4*l - 7*l) to p + u*l and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, q: 2}. What is prob of sequence ss?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 34.79542678?\nAnswer: -38.79542678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v\/v**14)\/(v**(10\/3)*v))**(-3\/2) assuming v is positive.\nAnswer: v**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 4, -0.5, 1, 14 in decreasing order.\nAnswer: 14, 4, 1, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**2 + 2*c**2 + 0*c**2)*(-64 - 13*c + 160 - 88) to the form m*c**3 + x + q*c + o*c**2 and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -394*a + 94*a + 33*a + 90*a in the form r + b*a and give b.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, 3, 0.5, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*y - 10 + 10)*(-22*y**2 + 18*y**2 + 16*y**2) - y**3 + 7*y**3 + y**3 + 2*y + (y + y**2 - y)*(-y + y + 2*y) - 2*y**2 - y**3 + 2*y**2.\nAnswer: 116*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11554 and 79025?\nAnswer: 8376650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 1. Let p(d) = -6*d + 2*d + h*d + 4*d. Let q(r) = -r**2 - r**2 + 0*r**2. What is q(p(t))?\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 e when two letters picked without replacement from ehvhhehlllhvhhhvl?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166349.\nAnswer: 166349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 57, 65, 77, 93, 113, 137?\n\"Answer: 2*z**2 + 2*z + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -7*v**3 - 7*v**2 - 3. Let f(l) = 15*l**3 + 15*l**2 + 7. Let u(w) = -6*f(w) - 13*s(w). Give u(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + (sqrt(117)*4 + sqrt(117))\/sqrt(9) + sqrt(13)) + (2*sqrt(1300) + 2 - (sqrt(1300) - (5 + sqrt(1300) + sqrt(1300) + -2))).\nAnswer: 2 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 9*r**3 - r**2 - 2*r + 1. Let q be m(-2). Let b(y) = 20*y + 4. Let x be b(5). Let j = x + q. What is the highest common factor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**2\/k*k*k*k))\/k)\/k**(-2\/3)*((k*k\/(k**6\/k)*k*k*k)\/k)\/(k\/k**(-3\/2)) assuming k is positive.\nAnswer: k**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 27. Sort x, 2\/13, 5 in descending order.\nAnswer: 5, 2\/13, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20, 28, 36, 44, 52?\n\"Answer: 8*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 6*q. Let b be (-6)\/(-2) + q\/13. Suppose b*f - 545 = -4*y, y - 181 = f - 2*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4913116, -9826230, -14739342, -19652452?\nAnswer: -24565560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1458 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -454611\/742 at most as big as -614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r. Let b be l(12). Suppose 2*f = 0, 5*d - b = 2*f - 5*f. Suppose -d*z + 25 = 1. Solve 3*x = z*x + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4278687 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/4 and 17\/3161738.\nAnswer: 6323476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/15)\/((-18)\/(-10)). Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**3\/3 + 7. What is z(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3\/4, -2\/23981, 3, -0.08 in descending order.\nAnswer: 3, 3\/4, -2\/23981, -0.08, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 22326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*i + 5*a, -76*i + 3 = -74*i + 3*a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -5*c**3\/3 + 107*c**2\/2 + c - 1421. Determine j(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 4:29 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8921 + -339023\/38. Suppose c = 4*c - 3, -v - 13 = 5*c. What is the common denominator of i and 47\/3*v\/132?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.14 (b) -0.3 (c) 2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -63257886, -63257879, -63257868, -63257853, -63257834, -63257811?\n\"Answer: 2*p**2 + p - 63257889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 9:30 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11423144 (base 5) to base 15\nAnswer: -21e9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5108 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h - 161. What is c(0)?\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 898815749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 6*h**2 - 4*h + 2. Calculate f(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26538203*a**3*c**3 - 539*a**3*c**2 + a**3 + 14*a**2*c + 161*a*c**2 wrt c.\nAnswer: 159229218*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**2 + 2*v**2 + 0*v**2 + (-4*v**2 - v**2 + 4*v**2)*(3 + 3 - 8) + 0*v**2 + 2*v**2 - v**2 + 1909968 - 4262*v**2 - 1909968.\nAnswer: -4261*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = s - 6*a - 1, 0 = -3*s + 4*a + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2931 - 17585\/6. What is the nearest to 1 in 5, -3.3, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 3. Let q = -4 - j. Let x = 3 - 6. Which is the second smallest value? (a) -1 (b) x (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-24)*(8379\/(-28))\/(-19)?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-560)*5*2\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1898 + 0\/2 - (-189 - -187).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5)\/a**(-4\/7))**(1\/4) assuming a is positive.\nAnswer: a**(-31\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u - 8. Let l be n(2). Let x = -0.04 + -0.26. Do l and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -63.7 (b) 0.27 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.272 - 15.828. Let s = 16.5 + c. Sort s, -1, 1\/23, 3 in increasing order.\nAnswer: -1, 1\/23, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19943 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 4*k + 3. Let n = 49 + -49. Suppose -2*z - 2*x - 7 - 9 = 0, 2*x + 10 = n. Calculate w(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74 - -54. Let l be 16\/10 - (-1)\/(h\/(-8)). Suppose -f - 2*q - 4 = 0, 4*q + 14 = 4*f + l*q. Solve -d + 2 = -f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -300, -578, -876, -1200, -1556, -1950, -2388?\n\"Answer: -h**3 - 4*h**2 - 259*h - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -541.75 + 541.74974411. What is t rounded to 6 dps?\nAnswer: -0.000256","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -294717, -294717, -294725, -294747, -294789?\nAnswer: -294857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48145 (base 10) to base 7.\nAnswer: -260236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mns when three letters picked without replacement from psnrmhs?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = f + 2*f - 9, 4*d = -5*f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/18)\/((-255)\/(-153)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*z - 42*z**2 - 14*z**2 + 26*z**2 + 28*z**2.\nAnswer: -2*z**2 - 57*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/7*140\/30)\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 18*p - 61. Let s be b(21). Solve -s = -u + 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4035.9 + 4035.90029399. What is u rounded to six decimal places?\nAnswer: 0.000294","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**4\/3 - 1110*u**3 + 16495*u**2\/3 + 6610*u = 0. What is u?\nAnswer: -1, 0, 6, 661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 1 - 4 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 bigger than -533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -478597*h + 86*h**2 + 478597*h.\nAnswer: 86*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 3*w. Suppose 21 = j + 4*r, w = -j + 5*j + 3*r - 32. Solve g - 6*g + 26 = -2*f, -j*f + 2*g = 23 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5210, -20805, -46758, -83033, -129594, -186405?\n\"Answer: 6*v**3 - 5215*v**2 + 8*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 7*m = -24. Let q(r) = 3 + 11 + m + 2*r. Let f be q(-6). Solve -f*y + 6*y = -5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1790 and -1.0054.\nAnswer: -1791.0054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-21 + ((-2526)\/(-140) - -3))\/(6\/14)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**3 - 7*d**2 - 25*d + 4. Let i(u) = -2*u**3 + 8*u**2 + 28*u - 5. What is 6*i(a) + 7*q(a)?\nAnswer: 2*a**3 - a**2 - 7*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**3\/6 - w - 7. Let p(u) be the first derivative of k(u). Let s(l) = 20*l**2. Determine s(p(r)).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 268747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 534 = -3*y, -3*y + 2*h + 48 + 477 = 0. List the prime factors of y.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*i. Let f be (2 - 1)*(1 + (1 - 2)). Is f at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(40\/(-174)))\/(-76*(-297)\/(-37620))?\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -1 + -2 - -4. Suppose -4*i + 2*g - 7*g = 22, -2*g + m = -2*i. Let u(k) be the third derivative of -k**4\/24 - k**3\/6 - k**2. Give u(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = l - 3, 0 = 4*l - 0*l - 5*p - 12. Suppose 4*d - 4*m + 5 + 9 = -2, 0 = -3*d + 5*m. Sort d, -4, l, 5 in descending order.\nAnswer: 5, l, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 113 - 71. Let v(h) = 2*h**2 - 16*h + 15. What is the remainder when z is divided by v(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, r: 12}. What is prob of sequence re?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 939927, 1879840, 2819753, 3759666, 4699579, 5639492?\nAnswer: 6579405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**3 - 4*f**2 - 2*f. Let d be k(-2). Suppose 2*z + 5*p - 70 = 0, -3*z - 3*p + 71 = -d*p. Solve 2*i - z = -v - 2*i, -3*v + 2*i + 5 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 159 - 1111\/7. Factor 0*n**2 - z*n**5 + 0*n + 0*n**3 - 2\/7*n**4 + 0.\nAnswer: -2*n**4*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 156 + -156. Suppose w = -b + 134 + 181, d = 5*b + 4*w - 1575. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2 + 3 + 3*v - v. Let k(u) = -u**2 - 4*u + 7. What is the remainder when y(6) is divided by k(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 32?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -6. Let s(i) = 2*i**2 + 5*i + 7. Let y be s(a). Suppose -3*h + 2*h + y = 0. Solve 12 - h = -4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 7. Let m be q(8). Let o = -7 + m. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*d - 16 = 0, -4*u - 4 = 3*d - 20. Let r(v) = v**3 - 5*v**2 - v + 7. What is r(u)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 425 - 35655?\nAnswer: -35230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 2:44 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 271*r + 11090. Calculate h(51).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 - v - 40966. Let c(t) = -19*t. Calculate u(c(s)).\nAnswer: -722*s**2 + 19*s - 40966","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5\/2 + 123*r**4\/2 - 357*r**3 + 706*r**2 - 468*r.\nAnswer: -r*(r - 117)*(r - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5811468.966 + 357\nAnswer: -5811111.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 100 - 11*f**3 - 48*f**2 + 10*f**3 + 35*f + 6*f + 10*f. Let i be x(-49). Solve 4*k + n - 2*n = i, 0 = 4*k - 2*n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/30 - (-38)\/30. Let f = 0 - b. What is the second smallest value in 5, f, -5, 2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 786 and 16506.\nAnswer: 16506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 129, -3\/16, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1508857 is divided by 185.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g**3*m**2 + 523*g**3*q - g*m**2 + 9*m**2*q + 1284*m wrt q?\nAnswer: 523*g**3 + 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 544 - -289?\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-219*c**2 + 82*c**2 - 2 - 2*c**3 + 100*c**2)*(2 - 1 + 0)*(-2 + 2 - 2).\nAnswer: 4*c**3 + 74*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2)\/(132\/396)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n. Suppose -2*p + 5 = 3*x + 12, -2*x = -3*p + 22. Let m(i) = -4*i. Determine x*j(y) + 4*m(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 4.7. Let t = -0.1325 + 0.6325. What is the closest to -1 in t, -6, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-876)\/(-14) + (-12)\/(-28). Let v be (168\/w)\/(1\/57). Suppose v - 42 = 5*x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 13*u**2 - 27*u - 17. Determine l(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3449653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3550 = 6*n - n. Let w = 435 + n. Is (5 - 4)\/((-5)\/w) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 319 = 77. Suppose 0 = 5*x - 2*x - d. What is the greatest common divisor of 110 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*q**2 - 10*q**2 - 3*q**2 + 1140 - 1138 + 2*q**2 - 69*q to l*q + f*q**2 + w and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1408) + 1*sqrt(1408))*-4*-6)\/(((sqrt(162) - (sqrt(162) + sqrt(162)*1 - sqrt(162))) + sqrt(162))*-3 + sqrt(2450)*1).\nAnswer: 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s. Suppose -9*g = 1 - 19. Let x(n) = -5*n + 3. Let i(l) = -1. Let o(m) = 2*i(m) + x(m). Give g*o(c) - 11*a(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9441192, -9441227, -9441262, -9441297, -9441332?\n\"Answer: -35*m - 9441157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*12 + 2 + -5. Let w(t) = 2*t - 12. Let o be w(b). Let r(m) = m**3 - 5*m**2 - 2*m - 8. What are the prime factors of r(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -105579.3287686 and 1.86.\nAnswer: -105577.4687686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 428 = -p, -s + 624 = 2*s + 3*p. List the prime factors of s.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5541226, -5541217, -5541208, -5541199, -5541190?\n\"Answer: 9*g - 5541235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) - -2*sqrt(65))*1)\/(sqrt(125)*-1))**2 + (sqrt(13) + ((sqrt(13) + sqrt(13) + 0 + sqrt(13) - sqrt(13)) + 5)**2 - (1 + sqrt(1573))**2).\nAnswer: -37308\/25 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {x: 6, u: 5, n: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 823166 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 49234560 to the nearest 100000.\nAnswer: 49200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*z + 4*z = 0. Suppose z = 9*w + 3*w - 276. Suppose 4*a = 3*n - w, -2*a = -n + 5*n - 16. Solve n*s + 2 = -3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68072.782859 - -42.1.\nAnswer: -68030.682859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.255109l in millilitres?\nAnswer: 255.109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 41774?\nAnswer: -41774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*y = -5*g + 1661, -y = -2*g + 843. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 9:15 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 1241?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*l**3 + 10*l**2 + 8*l**2 + 4*l**2 - 16*l**2.\nAnswer: -31*l**3 + 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 8:02 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 131024 to the power of 1\/2, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o - 2. Suppose -2 = -5*j + 18. Let z(k) = 3 - 1 - 4 - j - 3*k. Calculate 17*h(r) - 6*z(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*q = 155*q + 2444. Let t = -365 + q. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -77*h - 17*h**2 - 15*h**3 + 161*h - 4*h**2 + 36.\nAnswer: -3*(h - 2)*(h + 3)*(5*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-35)\/(z**(-1\/21)*z) assuming z is positive.\nAnswer: z**(-755\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 211889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + sqrt(272)*-1 + 4 + sqrt(17)*-2 + 0 + (sqrt(153) + sqrt(153)*-1 + -5)**2*-6.\nAnswer: -146 - 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -317822, -318115, -318600, -319271, -320122, -321147, -322340, -323695?\nAnswer: -325206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 376133175 and 3735.\nAnswer: 3735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u - 1. Let x(l) = -l**2 + 7*l + 3. Calculate -5*h(c) - 2*x(c).\nAnswer: 2*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y - 11. Let w be p(15). Suppose w*t - 21 - 19 = -4*x, -4*t + 30 = 2*x. Solve x*o + 2*d + 23 = d, 0 = -4*o + d - 13 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 9*j + 2. Let r be w(4). Solve 7*l = r*l + 60 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7*c**2 + c - 1. Let w be ((-42)\/(-8))\/(9\/24). Suppose 32 = 4*p + 4*n, 2*p + 2*n + n - w = 0. What is the remainder when j(-3) is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**3 - 20*a**2 - 11*a + 28. Let z be b(7). Solve 8*c - 5*c - 15 = z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 12. Let g be 30\/4*s\/5. Solve y = 3*l + 10, -3*y + 5*l + g - 2 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2 - 2*g**2 - g - 1 - 3*g**2. Let x be 4 + 4 + 1*-3. Suppose -x*c - 4 + 9 = 0. What is f(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -96*l. Let f(w) = w**2 - 10609. Give v(f(i)).\nAnswer: -96*i**2 + 1018464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 51 = -4*d. Let m = d - 12. Suppose 0 = 3*w - 2*w - m. Is w at least as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 28. Let p be g(-14). Let i(t) = -3*t - p - 2*t + 12 - t. Let w(v) = -v - 1. Determine i(b) - 5*w(b).\nAnswer: -b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13350797.011 rounded to the nearest 10000?\nAnswer: 13350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14033014444 - 1?\nAnswer: -14033020000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 5*f**2 - 8*f - 3. Let i be h(-6). Suppose -4*d + 5*v + 148 = 0, 6*d - 5*v - 52 = 5*d. Let r(k) = -d + 27 + k + 9. Give r(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = v - 16, -y + 52 + 85 = 5*v. Let q = -11 + v. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.602 and 6?\nAnswer: 21.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 9:18 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 8647a1?\nAnswer: -864799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 1\/60*m**5 - 2*m**2 + 0 + 1\/6*m**4 + 37*m - 1\/6*m**3. Suppose 2*l + 16 = -2*l. What is y(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (27084\/(-333))\/(2\/(-93)). Suppose -b = 19*w - 22*w - 5*g, -3*w - 4*g = -3787. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18025a (base 16) to base 7.\nAnswer: -16242236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -3, -1\/13 in descending order.\nAnswer: 0.03, -1\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 v, and 1 h when three letters picked without replacement from kwwhhtvl.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18785430 is divided by 417.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -2, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-115)\/69)\/(4\/(-3)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 7. Let r be a(-4). Suppose 0*w - 5 = -k + r*w, -9 = 5*k + 2*w. Let c(o) = -1. Let n(j) = -2*j - 6. Determine k*n(h) + 6*c(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 4219.9?\nAnswer: -843.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1441 * 0.3.\nAnswer: -0.04323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (523 - 523 - 15*c)*(2 - 6 - 2)*(17 - 17 + 8*c) in the form p*c + b + f*c**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/(-6))\/(1 - (-2)\/4). Calculate the least common multiple of 24 and (-1 + u)\/(26\/(-312)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/(-20)*(-4)\/18. Let l = -0.2 - 0. Let y = 0.3 + l. Which is the closest to y? (a) 0.4 (b) -0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 26. Let w(r) = h - 4 + 5 + r - r**2 - 3. Let c(k) = -4 + 5 - 2 - k**2 + k**3. Give -c(y) + w(y).\nAnswer: -y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 286889087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x - 12. Let p be o(8). Suppose p*u - 5*u = -2. Calculate the least common multiple of 18 and (35\/10)\/(u\/8).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 52.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 641, 643, 647, 653, 661, 671, 683?\nAnswer: 697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*q + 5*s, -3*q - s + 18 = q. Let x be 2 + -1 + (11 - q). Suppose -5*r - 4*k + 23 = -0*k, r + 5*k = -x. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 - 5*h - 5. Let w be d(-2). Suppose -4*p - 6*g = -2*g - 52, 4*g = 2*p - 38. Suppose 0 = 4*j - j - p. Solve j*c = -w - 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0*o - 7*o - 1)*(8 + 1 - 3) to q + x*o and give x.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 66936000 rounded to the nearest 1000000?\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11696 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1676535 + 1676583.00058. Let g = -41.7 + -6.3. Let k = g + r. Round k to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o - 6*o - 2*o)*(2*o**2 - 2*o**2 + 2*o**2).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.17934 nanograms in kilograms?\nAnswer: 0.00000000007217934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5695 is divided by 2806?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 97, -0.3 in increasing order.\nAnswer: -0.3, 1, 4, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -1\/3*v**3 + 0 + 4*v + 0*v**2. Let q(f) = 5*f**2. Determine q(b(x)).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j*t**2*x**3 - j*t**2*x - 2*j*t + 77*j*x - 118*t**3*x**2 + 4*t**3 wrt x.\nAnswer: 6*j*t**2*x - 236*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*s = -34, s = -4*d + 6*s + 1. Is 6 a factor of (126\/(-49))\/(d\/28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -3. Let h = -1 + s. Solve -2 = -h*j + 5*i - 12, 0 = -4*j - 5*i + 28 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*h - 1537 + 1505 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v + 3. Calculate d(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1\/3))\/x)**(-5\/4)*((x*x*x*x*(x**(-3\/2)\/x)\/x*x)\/x)\/(x*x\/(x**(-4)\/x))*(x**4\/(x\/x**3))**(2\/29) assuming x is positive.\nAnswer: x**(-2263\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/4)\/(11 - 5064\/464)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 y when three letters picked without replacement from {y: 11, b: 1, z: 7}.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 + 10*q**3 - 2 - 2*q**2 - 10*q**3 - 3*q**4 as j*q**3 + i + w*q**2 + u*q + c*q**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -496 greater than or equal to -496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 6*t - 80. Let x = -286 + 263. Is b(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 divided by 65?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20273?\nAnswer: 11, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.2, -1, 0.07, -17 in ascending order.\nAnswer: -17, -1, -0.2, 0.07, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2527, -5683, -8845, -12019, -15211, -18427, -21673, -24955?\n\"Answer: -w**3 + 3*w**2 - 3158*w + 629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15374 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1625\/17875 - (-298)\/(-11)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + (25 - 16) - -48?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 6. Suppose -13 = -2*s + 5*t, 3*s = p*s - t - 17. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 6. Let g be w(-5). Is g + 1 + -2 - -7 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 + 2*b. Let f = 136 + -134. Let i(u) = -4*u**2 - 4*u + 222. Let h(g) = f*l(g) + i(g). What is the first derivative of h(r) wrt r?\nAnswer: -16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -1 + 3. Let w = 1 + n. Put 3, 1, w in decreasing order.\nAnswer: 3, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/439296 and -19\/1422.\nAnswer: 104113152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 296546*k - 1482738. Calculate c(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 381 + -379. Suppose -4*z = 35 - 15, -4*p = -h*z - 574. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 20680*h**3 + 20687*h**3 + h**2 + 0*h**2.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -9*x + 63. Let n(b) = 4*b - 32. Let t(z) = -6*a(z) - 13*n(z). Let l be t(-19). Solve -h + 2*h - 1 = l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*t - 33, 15 = t + 3*p - 9. Suppose 7*g + t = 2*g. Let b be (g - (-14)\/6)\/((-2)\/142). Which is smaller: 48 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/49629 and -1\/7.\nAnswer: 347403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - u**2 - 6*u + 7. Let g be x(3). Let v be 1 + -1 - -1*2. Which is the second biggest value? (a) -0.5 (b) v (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 8498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1596699?\nAnswer: 3, 13, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -416 + 7074\/17. Let x = -521 - -522. Put f, x, 0.5, 0 in increasing order.\nAnswer: 0, f, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -40, 3, -164, 14, 18 in descending order.\nAnswer: 18, 14, 3, -2, -40, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -29, -61, -101, -149, -205, -269?\n\"Answer: -4*b**2 - 20*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 71072648 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 11*y**2. Let j(v) be the first derivative of 3*v**2\/2 + 5*v - 14. Let u(q) = q + 2. Let r(x) = -2*j(x) + 5*u(x). What is r(b(z))?\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -7*r**3 - r**2 - 3*r + 5. Let p(b) = -36*b**3 - 6*b**2 - 14*b + 24. What is -14*f(d) + 3*p(d)?\nAnswer: -10*d**3 - 4*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -52919884 and 0.4.\nAnswer: -21167953.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 64 = 2*o - 150, 0 = 5*o + 3*v - 566. Suppose 2*a = 4*a. Suppose 10 = -5*w + g + o, a = 4*g + 8. Does 20 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2. Let d(q) be the third derivative of -5*q**5\/12 - 110*q**2. Give d(h(n)).\nAnswer: -100*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -12*v**3 + 2*v**2 - 4*v - 1. Give h(2).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 142760 and 5850?\nAnswer: 83514600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 23*f**2 - 6*f - 3. Give c(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 - 2*i - 4*i**2 + 2*i**2 + 5*i**2 to w*i + f + b*i**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-18) - 12579\/(-27))*6. Suppose 3*l = -l - x - r, 5*l = x - 3504. Round l to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -3. Suppose 0 = i*n - 39 + 9. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0*j)**(-8)\/(j**(1\/15)\/(j*j**(-1\/7))) assuming j is positive.\nAnswer: j**(-757\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 2*l. Suppose 4*j - j = 0. Let f = j + l. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -593, -1442, -2643, -4202, -6125, -8418, -11087?\nAnswer: -14138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/1261008 and -81\/4427984.\nAnswer: 2510666928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 10.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 6277 = -2218. Is q a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -3, -0.2, 98, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5987 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 2 - 44\/1. What is the common denominator of (1 + 12)\/(v\/6) and 1\/(126\/927) + -2?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w. Let y(s) = s**2 - 19*s + 81. Let r be y(10). Let v(a) = -a**2 - 20*a - 98. Let c be v(r). What is p(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21601*r*u - 35193*u wrt r?\nAnswer: -21601*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -58.541.\nAnswer: 17.5623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/6 + (-2)\/(-6). Let m be (l - 3)*10\/(-4). Solve 4*c = m - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 0.033, 0.4, 4\/5 in descending order.\nAnswer: 4\/5, 0.4, 0.033, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 52*b + 314. Let i be n(7). Sort i, 64, -2 in descending order.\nAnswer: 64, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 0*f - 2*f)*(21*f**2 - f**2 + 5*f**2)*(-2 + 2 - 4).\nAnswer: 200*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 + 53.4. Let f = -6621527.400051 - -6621535. Let k = c + f. What is k rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1728*r + 1467*r + 985 - 8815 for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 7464973?\nAnswer: -7464973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 - 60*p + 2. Let m(c) = -c**2 - 30*c + 1. Give -10*m(d) + 4*q(d).\nAnswer: 2*d**2 + 60*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(1\/(-2))*(-46870)\/(235640\/548).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*q - 171 = x, 2*q = -5*x + 384. Suppose 2*n - 286 = -4*l + 3*n, -3*n = l - x. Is l a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1657*w = -1637*w - 540 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3208 to the nearest 100.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*((-9)\/3 - -5). Let c = -4 - i. Suppose 5*s - 9*s + c = 0. Solve 24 = 4*z - 5*p, s*z = -4*p - 8 - 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x - 532904. Let a(u) = -2*u. What is a(c(v))?\nAnswer: 4*v + 1065808","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94 - 47. Let p(o) = o**3 - 7*o**2 - 6*o. Let d(s) = -s + 8. Let c be d(0). What is the remainder when j is divided by p(c)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdn when three letters picked without replacement from gnggfdfffffdgd.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 11:57 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141024 divided by 3616.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12513)\/(-12) - 1\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**3\/6 + 4*s**2 + 2*s. Let b be o(-13). Let i be 14\/35 - (-2)\/b. Solve 4*d - 2 + 14 = i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81868510, 81868509, 81868508, 81868507, 81868506?\nAnswer: 81868505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*a + 74 = -62*a - 2*u, 27*a = -u - 86 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 30 - 3 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(147)\/sqrt(7))\/sqrt(7))**2 - 3*sqrt(12)\/sqrt(4)) + 1 + (sqrt(12) + 3 + 0)**2.\nAnswer: 9*sqrt(3) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20153, -20151, -20149, -20147?\nAnswer: -20145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(-2\/29) assuming x is positive.\nAnswer: x**(2\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from llkvixxnv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 4*i - 7, -2 = i - 0*i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 508\/5 + -102. Which is the closest to k? (a) 0.03 (b) 12 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3821, -7672, -11897, -16496, -21469?\nAnswer: -26816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 12 = -5*w, -k = w - 6 - 0. Does 46 divide (182\/(-52))\/((k + -2)\/(-72))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 2:53 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -27 (b) -475 (c) -1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -13*k**2 - k. Let s be r(-1). Let h = 24 + s. Calculate the greatest common factor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 2 + -9)\/(-2). Let v = 20 - 6. Let x be 2*55\/70 + 8\/(-14). Solve x = -3*w + y, 6*y = s*w + 2*y - v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 188 (base 13) to base 4.\nAnswer: 10121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 1022?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1650 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 36. Suppose 10*l - 12925 = -808*l + 26339. What is the least common multiple of r(0) and l?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*j = 51*j - 138110. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 25. Suppose -70 + 20 = -m*z. Suppose 4*p - 173 = -z. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 2*z - 3)*(-5*z - 2 + 2) to the form w*z**2 + l*z + c and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 464741.4 centimeters?\nAnswer: 4647414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.07016297 * -1\nAnswer: -0.07016297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 603249 and 633.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (220\/(-105))\/((-2496)\/(-2912))\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 + -48.1. Let h = 4.4 + 3.8. Let a = h - b. Round a to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*13\/78*(-6)\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 2274440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-10))\/(99\/(-2310))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.8 - -0.2. Let u = -762 + 762. Let l = 2.86 - 2.56. Which is the closest to 0? (a) l (b) t (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-18) + -3)*-6*4\/224.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 6809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 628 and 265.\nAnswer: 166420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 370550760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 107418 to the power of 1\/2, to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 38112.21 months?\nAnswer: 31.760175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99654, 99656, 99658, 99660, 99662, 99664?\nAnswer: 99666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 17*t**2 - 13*t - 9. Let v be w(-10). Let b = v - -692. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -27*j**2 + 83*j + 36. Determine r(3).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 337 + 922. What are the prime factors of o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 8:29 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/4))**(-3\/20)*(p\/(p**(-15)*p))\/(p\/(p**(-15)*p)))**(-1\/19) assuming p is positive.\nAnswer: p**(9\/1520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111 - -112. Let j be (0\/(-2) - -29) + -2. Suppose j = 3*h + 9. Sort p, h, -4.\nAnswer: -4, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**2\/2 - 194769*v\/2 - 2240108 = 0.\nAnswer: -23, 194792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26.6 + -24.6. What is the nearest to 0.3 in b, 3\/4, 6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9 + 1)*(3 - 4)*1. Let r(n) = 3*n**2 + 31*n + 15. Let u be r(t). What is the highest common factor of u and 275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 17)*96\/(-9). Let a(d) = d**3 - 15*d**2 + 27*d - 3. Let p be a(13). What is the greatest common factor of x and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -40. Let x(u) = 21 + 47 - 2*u + u**2 + n - 16. What is the units digit of x(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/8*6\/(-5). Sort -20, 5, r in decreasing order.\nAnswer: 5, r, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {y: 3, i: 3, t: 12, j: 2}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 5*j - 75, -5*i = -0*i + 2*j - 68. Let l(k) = k**2 - 3. Let n be l(-3). What are the prime factors of i\/6 + n\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8.23, 16, 0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - b = b - 19106, -5*z = 4*b - 19102. Is z a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04079 + 153.95921. Let x = -27708.00722 + 27554.0072311. Let v = x + s. Round v to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11221 (base 4) to base 13.\nAnswer: -21a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 2 - 4*v**3 + 2*v + 0 - 7 - 5*v to the form b*v**3 + c*v**2 + i*v + q and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 42\/35)\/(12\/36).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 310 + 287 = -l + h, -2*l - 5*h - 80 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 30 + 18. Suppose -3*r = 5*f - h*f + 694, 2*f + 2*r - 1404 = 0. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 4*g**2 - 4*g - 5. Let f be p(5). Put 5, f, -2 in increasing order.\nAnswer: -2, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -836*x**5 - x**3 - 2559*x wrt x?\nAnswer: -16720*x**3 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 2*d - d)*(-11*d + d + 0*d + (-1 - 1 + 4)*(d - 5*d - 20*d) + 5 + 2*d - 5).\nAnswer: -112*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - 2, 5 = 2*m - 3*g + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*o**2 - 40*o**2 - 33*o**2 + 213*o**2.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3302473.\nAnswer: 3302473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*b + 83, -5*b + 5*x + 95 + 30 = 0. Suppose -8 = 8*j - 4*k, 0 = -j - 71*k + 66*k + 54. Solve j*y + 4 = -0*g + 4*g, g = -5*y - b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -5 - (3 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 40*k**2 - 55*k - 635. What is y(-39)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/3*120\/16*((-51)\/63)\/(-17)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-14))\/((-46)\/(-161)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 46*p + 651. Calculate i(46).\nAnswer: 651","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12, -26, -54, -102, -176, -282?\n\"Answer: -i**3 - i**2 - 4*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5*v + 20 = 0. Let k = v + 6. Suppose k*n - 35 = -3*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*j = -473, -2*s + j + 378 + 568 = 0. Suppose k + s = 3*y - 287, -4*k + 488 = 2*y. Is 21 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1957 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 110527*f. Let z(b) = 13*b. Determine o(z(s)).\nAnswer: 1436851*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 139477 = 4*t + 26135, -4*f = -5*t - 151102. Let m = 57778 - f. What is m rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8*b = 7*b - 312, 0 = -5*f - 2*b + 520. Calculate the remainder when f is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -41.4, -0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36.72 + -37. Let o = x - 0.22. Let c = 0 + 5. Put o, 1\/11, c in ascending order.\nAnswer: o, 1\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = v - 6. Suppose -5*h = -5, -h + 5 = v*p - 2*h. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.1, 24, 1\/637, 1\/2, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**2 - 1. Suppose -6*y + 2 = -5*y. Let j = 16 + -9. What is the remainder when o(y) is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + 6*v**3 - 4*v**3)*((1 + 1 - 1)*(0 + 0 + 2) + 7 + 5 - 4)*(3*v - 3*v - v + 0 + 2*v + 0 + (-2*v - 2*v + 5*v)*(1 - 1 - 1) - 9 + 9 - 4*v).\nAnswer: -40*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-11655)\/675 + 17)\/((-96)\/(-55440))\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*1.2847.\nAnswer: 0.38541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 101, 165, 227?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -4, 9, -1, -3 in decreasing order.\nAnswer: 9, 2, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -286, -3, 2, -5 in descending order.\nAnswer: 2, -3, -5, -286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -689284, -689313, -689342, -689371, -689400?\nAnswer: -689429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4\/5)\/(p*p\/(p**5*p)))\/(((p\/p**(3\/4))\/p*p)\/p**(-3)))\/((p**(2\/3)*p\/p**(-2\/7))\/(p**2)**(1\/21)) assuming p is positive.\nAnswer: p**(-267\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 12) to base 15.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(171) + (1*sqrt(171) - sqrt(171) - sqrt(171) - sqrt(171))))\/(sqrt(1296) - (sqrt(1296) - 1*sqrt(1296))).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 270 = -4*c. Suppose -5*x + 48*n - 304 = 51*n, -x - 3*n - 56 = 0. Let w = x - c. What are the prime factors of w?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*z = -72, -2*u + 63 - 13 = z. Calculate the highest common divisor of u and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 60.2, 40\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4670 is divided by 485?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -14 + 2*c + 7 + 9. Let i(d) = -3*d - 3. Calculate -6*i(j) - 10*o(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**5\/2 + 51*c**4\/2 - 45*c**3\/2 - 51*c**2\/2 + 24*c = 0.\nAnswer: -1, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -5\/3 (b) 0.1832 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*u + 47, 4*u - 110 = -u - 4*q. Let r = u + -18. Suppose 2 - r = -3*j. What is the highest common factor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d + 5*d + 3*d - 5*d. Let z(y) be the third derivative of -y**4\/24 + 73*y**3\/6 - 24*y**2 + 107. What is z(i(h))?\nAnswer: h + 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 141 + 208?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.2017 - -1.305\nAnswer: 1.1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 + 2740487*d.\nAnswer: -d*(d - 8221461)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4549 = 1379. Let n = i - -682. What is n rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5914 + 6445. Calculate the greatest common divisor of l and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16512.17l to millilitres.\nAnswer: 16512170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 294053, 293796, 293539?\nAnswer: 293282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23672 + 23705. Let v = 275 - 410. Let b = 265 + v. Calculate the remainder when b is divided by s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r + r - 2*r)*(-35*r - 18*r - 8*r) in the form z*r + t + a*r**2 and give a.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2034595 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 18*w - 19*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 265019?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1900) - 2*(2*sqrt(19) + sqrt(19)).\nAnswer: 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -2, 0.147423, -13, -1\/4?\nAnswer: 0.147423","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 12 + 0 = 0. Let z be (-42)\/k*(444\/21)\/1. Let m = z + -30. Is 19 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 4:38 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/63 and ((-2)\/140*-2)\/(112\/140).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(2754))\/(sqrt(8)\/sqrt(100)))**2 + ((1*(sqrt(136)*-2 - sqrt(136)) - sqrt(136))\/(sqrt(8)*-2*2))**2)*-1.\nAnswer: -137717","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (15 - 3 - (-7 + 14) - 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -155.9 less than or equal to 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100041 + -12414?\nAnswer: 32122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 73930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -38.49 and 74754565478.\nAnswer: 74754565439.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367450 is divided by 1426?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28890 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from slrssrlrsrlsrsr. Give prob of sequence lls.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*j**4 + 7 + j**4 - 13 with respect to j.\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 8, e: 2, n: 1, g: 2, q: 6}. What is prob of picking 2 e, 1 a, and 1 q?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*h + 9. Let w be (-1)\/(-3) - (-3)\/h. Let f = -29386 - -29382. What is the closest to -3 in f, w, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.09 or 1149931?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 141 in -2, 0.331, -23?\nAnswer: 0.331","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 2:13 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 364 + -363. Let w = -21 - -20.95. Let y = w - -0.15. Which is the closest to n? (a) 3 (b) -3\/2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) -19 (c) -3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/(-63) + 2\/(-6). Let q = -3.8 - -4. What is the third smallest value in i, q, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence py when two letters picked without replacement from {d: 1, p: 1, w: 1, y: 1, x: 1, i: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20444, 20485, 20560, 20681, 20860, 21109?\nAnswer: 21440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -21*k - 4. Suppose 2*d + 302 = -s, 139*d - s = 135*d - 616. Let g(v) = 799*v + 153. Determine d*b(n) - 4*g(n).\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l + 0*l - 5*l)*(0*l + 4*l - 5*l)*(1 + 0 - 3) to k*l + a*l**2 + p and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1077 is divided by 164.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 8, -2*x = -5*q - 1 - 7. Let r = x + 10. Suppose 3*g + 3*b + 14 = r*b, 4*b + 8 = -4*g. Let v(p) = p + 2. Determine v(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9377 + 17877. Round f to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 337 divided by -89250.\nAnswer: -337\/89250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 499*b*r*s**3 - 6*b*r - 8*b*s + 2*b + 3*r*s**3 wrt s.\nAnswer: 2994*b*r*s + 18*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + d - 2*d**2. Let f(u) be the first derivative of -23*u**3\/3 - 728. Determine f(o(b)).\nAnswer: -92*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u + 21*u = 270. Suppose 4*o = n - 288, 2*o - 222 = -n + u. What is the greatest common factor of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 641*y**3 - 3*y**2 + 356*y + 1 wrt y.\nAnswer: 3846*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 53, 59, 51, 29, -7, -57?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 11. Suppose -4*l = -5*j - 32 + 2, -3*j + 16 = l. Calculate the lowest common multiple of l and g(0).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0364 and -0.2271?\nAnswer: 0.00826644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16 + -13)*(1 + 0)*8. Let d = f + -18. What is the highest common divisor of d and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**2 - 215*q + 5574. Give t(21).\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34426?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11535*l + 11480*l = -2530 for l.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.152 + -1.152. Which is the nearest to f? (a) -0.3 (b) 4 (c) 3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3271*i + 621. Is t(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01109 - 609.78891. Let z = -676 - f. Let m = -60 - z. What is m rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11032\/799 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) -1\/6 (c) 6\/5 (d) -62\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-36)\/72*(-69)\/(-6)*-188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*((1 - -1) + -5). Suppose 23 = m - g, 5*g = -4*m + 4*g + 117. Suppose -z*u + m = 4*f - 0*u, -u = -f. Solve 4*l = 2*a - 26, 1 - f = -a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 25332?\nAnswer: -25331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 631*u**2 - 318*u**2 - 20*u - 311*u**2 - 1056*u**4 wrt u?\nAnswer: -25344*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vo when two letters picked without replacement from {v: 1, w: 1, s: 1, o: 1, c: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 3*p**2 + 1. Let o(h) = -536*h**3 + 689*h**2 - 2. Let v(q) = -2*l(q) - o(q). What is the third derivative of v(n) wrt n?\nAnswer: 3204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379434.55 rounded to the nearest one thousand?\nAnswer: 379000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 7) to base 4.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-1 + 2)) + (-4 - -9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64167?\nAnswer: 3, 73, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and 1\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, t: 1, y: 9}. What is prob of sequence tjy?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -5 + 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29512, -59022, -88532, -118042, -147552, -177062?\nAnswer: -206572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a**3 + 7*a**2 + 2*a + 2. Let w(u) = -66*u**3 + 90*u**2 + 27*u + 27. Let i(s) = -27*t(s) + 2*w(s). What is h in i(h) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*d - 392 + 40*d + 392 as m*d + j and give m.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l**3 + 57*l**3 + 5*l**3 + 27*l**3 + 12*l**3 - 63*l**3.\nAnswer: 45*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 + 115. Let p be (-896967)\/u + (-2)\/5. Let r = p + 478537\/24. Find the common denominator of 61\/15 and r.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.678327245556 - -5?\nAnswer: 2.321672754444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 9853.431 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 3, 16 in increasing order.\nAnswer: 3, 10, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 520*b**2 + 7*b - 11. Let t(d) = -261*d**2 - 4*d + 6. Calculate -4*o(w) - 7*t(w).\nAnswer: -4*w**3 - 253*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/3 - 0 - -2. Suppose -3*g + 0 = -l. Solve k - 2 = -3*b + 3*k, -3*b - g = -k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10*(2 + 1 + -4). Let t be 18\/5 - 4\/p. Does 33 divide ((5 - t) + 32)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -83, -81, -79, -77, -75, -73?\n\"Answer: 2*a - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1376*z - 663*z - 658*z - 111 + 2146 = 0 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5265\/324*(-8)\/(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, a: 7}. Give prob of picking 1 a and 3 t.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 6 = 26 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 16\/7*m**2 - 12\/7*m - 4\/7*m**3 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 i when four letters picked without replacement from cwiqwiiiiqiiqicq?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 9*k - 17. Let z be o(-11). Let m = -12 + -41. Let p = m + 53. Which is the biggest value? (a) z (b) -3\/11 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20408 - 642*h - 20408)*(-h + h + h).\nAnswer: -642*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**4\/12 + 393*k**2. Let w(a) = -125*a - 4. Give i(w(y)).\nAnswer: -250*y - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8138785 and 0.4.\nAnswer: 3255514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k. Let m be z(-4). Suppose 0 = -2*u + 6, w + 12 = -4*u + m*u. Let a be 0\/(1 - w - -2). Put a, -3, 5 in descending order.\nAnswer: 5, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**4 + 0*r**4 - 6*r**4 - 4*r**2 - 3*r**4 + 4*r**2 + (0*r**3 - r**3 + 0*r**3)*(r + r + 0*r) + 3*r**4 + 15*r**3 - 15*r**3.\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - 4*q - 5, 0 = -4*k - 0*q + 5*q + 14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 6:07 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8730000 rounded to the nearest one hundred thousand?\nAnswer: 8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1856848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 83*k - 85*k - 4*w + 32, -2*k = 2*w - 18. Factor -18*v**k - 54*v**3 - 3\/2*v + 0.\nAnswer: -3*v*(6*v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/4)\/((-231)\/462).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15799 is divided by 33?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7104 and 583860?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(3\/2 - 2). Suppose w = -3*y - 19 + 136. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 720\/9 - ((-34)\/(-10) + (-4)\/10) is divided by 67?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (66\/55)\/(6\/1*1\/20) and 822?\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 divided by 962596?\nAnswer: -1\/20926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 980524.\nAnswer: 2, 245131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-5))\/((-4)\/30). Suppose 6 = -3*o - 3. Let y = o + k. Solve 5*p = -2*s + y, 1 = -3*p - 5*s - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*z + 41*z - 3*c = 47710, -2*z + 47718 = c. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -43, 1\/22, -0.007, -1 in descending order.\nAnswer: 4, 1\/22, -0.007, -1, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3465205297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -147 + 144 + (-5)\/((-5)\/6). Let m(u) = -2*u + 4. Let q(l) = -2*l + 5. Determine i*m(y) - 2*q(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.634 and -0.34674.\nAnswer: -0.21983316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 79 - 1170*r + 73 + 201 + 1066*r + 217.\nAnswer: -2*(r - 5)*(r + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 11 - 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -13*l - 4. Let g be x(6). Let n = -80 - g. Factor 1\/2*u - 1\/2*u**n + 0.\nAnswer: -u*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(25)\/(sqrt(20)\/sqrt(4)).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 128*-6\nAnswer: -768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 6. Let l(i) = 14*i**2 - 10 - 5*i - i + 4 - 15*i**a. Give l(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32 - 47) + (0 - (2 - 4))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2104, -2114, -2130, -2152?\n\"Answer: -3*k**2 - k - 2100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -3. Suppose -9*n + a*n = 40. Let x = -8 - n. Sort 3, x, -5 in decreasing order.\nAnswer: 3, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 304\/152*1\/(-2)*90\/(4\/(-2)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 19 - 1. Suppose -i + 2 = -2*v, -5*h = v - 6. Let a(j) = 5*j - 4*j + 1035 - 1034 - 10*j**2 - 2*j - j. What is a(h)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h + 20*h - 16*h - 17*h + 7*h.\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + 103. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22088+-11494\nAnswer: -33582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12987 is divided by 4314?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1845*j - j**2 - 1851*j + 3696*j + 3*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69*178\/(-571113))\/((-30)\/9).\nAnswer: -1\/155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.973 + -17.973. Let z be 8\/(-12)*(-9)\/(-4). Which is the second biggest value? (a) -5 (b) z (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 76.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*l + 3)*(-2*l + 2*l - l**2) + 69*l**3 + 568*l**3 - 62*l + 62*l.\nAnswer: 639*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7*u**2 + 2*u. Let o(g) = -37*g**2 + 7*g + 8. Let m(x) = -12*x**2 + 2*x + 3. Let h(z) = 8*m(z) - 3*o(z). Determine -6*h(n) - 13*p(n).\nAnswer: n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 50.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25\/2 + 171\/14. Let p = -0.03 + 4.03. Is q not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1560*f**4 - 3*f + 9011 wrt f.\nAnswer: 6240*f**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 22*h**2 + 4*h - 4. Let t be f(3). Calculate the remainder when 101 is divided by (-3)\/(-12) - t\/(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**3 - 2*h**2 - 511 + h**2 + 509 + 2*h as t*h + r*h**3 + q*h**2 + i and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + 45 + (-6 - 2) + (1 - (2 - 2)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 8*h**2 + 2*h. Let n be a(8). Suppose 152 = 3*s - n. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1322272 divided by 82642\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 726782005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdv when three letters picked without replacement from {i: 3, v: 2, g: 1, d: 3, n: 2, y: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = -2*j - 5*c + 142, 23 = -5*j + 3*c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -559, -559, -561, -565, -571, -579?\n\"Answer: -o**2 + 3*o - 561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 30*w**5 + 369*w**4\/2 + 294*w**3 + 285*w**2\/2 - 9*w - 12 = 0. Calculate w.\nAnswer: -4, -1, -2\/5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 2.417636704.\nAnswer: 5.417636704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96880?\nAnswer: 2, 5, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21970 is divided by 177.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (0 + 13 - ((0 - -45) + -28)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -4, 3, -19\/9, -448 in descending order.\nAnswer: 3, -3\/4, -19\/9, -4, -448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -26. Let a = 87 + b. Suppose 5*j = 3*j + 4*f + 86, a = 2*j + f. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/((-2)\/(-3 + 30\/6)). What is the second smallest value in 0.06, -0.6, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 926330.\nAnswer: -1\/463165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -862a39 (base 11) to base 12\nAnswer: -566860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one fifths of a micrometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 346469 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 2 + 2 + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 15*f + 18*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45514 and 70?\nAnswer: 227570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-91)\/(-6))\/((-3)\/2 + 1). Which is smaller: y or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*2\/6*5*-17. Let n = 90 - b. Let j = 19 + -10. Put j, -2, n in descending order.\nAnswer: j, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52695 is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((30\/8)\/(-3))\/(9\/180)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-5))\/((-4)\/(-100)). What is the remainder when -3*(-4)\/12 + s is divided by 7\/(0 - 2\/(-6))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 7:37 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -104 + 99.94. Let w = p - -0.06. Let r = -7 - w. Which is the smallest value? (a) 0 (b) 3\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100101000100100111111000 + -10?\nAnswer: -10100101000100100111111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2985*y**2 + 211890*y + 3176. Give c(71).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 118651 times 0.4\nAnswer: 47460.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11957, -11964, -11969, -11972, -11973, -11972, -11969?\nAnswer: -11964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34273?\nAnswer: 34273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7048706 or 7048715?\nAnswer: 7048706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 77.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/516 and 131\/91212.\nAnswer: 3922116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1620758.6689 rounded to the nearest ten thousand?\nAnswer: -1620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(19)*4*1.\nAnswer: -20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23343 + 10088 = -241*p for p.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1616963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**4 - 155080*b**3 + 782353*b**2?\nAnswer: 24*b - 930480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 3\/16*a**4 + 7\/80*a**5 + 0*a**2 - 4*a + 1\/12*a**3 + 0. Factor b(x).\nAnswer: x*(x + 1)*(7*x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10901259 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 1 - 17. Suppose -a = -l*a + 1055. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4 + 89. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 47\/617, -0.5, 21, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -8*f**2 - 308*f - 119. What is d(-41)?\nAnswer: -939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -5 (b) 31 (c) 0 (d) -0.3 (e) 1028\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45375551 divided by 6.\nAnswer: 45375551\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 19710\nAnswer: 1\/19710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {h: 7, k: 7, z: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-1) - (-42672)\/(-4445)?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4219*o + 4892. Let t(k) = 12636*k + 14677. Let r(m) = -11*f(m) + 4*t(m). Differentiate r(l) wrt l.\nAnswer: 4135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - -10 - -7 - (64 + -82)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7414616086 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3027793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 - 2*k**2 + 2*k + 4. Let i(d) = -d**3 - d**2 + d + 4. Let s(u) = -3*i(u) + 2*m(u). What is the least common multiple of s(-3) and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -108? (a) 2\/7 (b) 2 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1411*v**6*x**2 + 21*v**3*x**2 - 3*v**2*x**2 - 43121*x**2 wrt v.\nAnswer: 169320*v**3*x**2 + 126*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a + 2*a**4 - 4*a + (a + 0*a - 4 + 0)*(0*a + 0*a + 3*a**3) + (-3*a**2 + 3*a**2 + 2*a**4)*(4 + 0 - 5).\nAnswer: 3*a**4 - 12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 87 + -59. Let u = j + -23. What is the highest common divisor of u and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162388.7 centuries to millennia.\nAnswer: 16238.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/12 + 4 + (-498)\/120?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6435\/7 + 919. Let u = -2 + 2.1. Which is the nearest to u? (a) d (b) -0.5 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 661 a factor of 70480447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*k - 6*k. Let j be (10\/k)\/((-2)\/(-60)). Suppose -2*f - 1 = -j. What is the remainder when f is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 239 = -105. Find the third derivative of 344*j**5 - 6*j**2 - j**6 - a*j**5 wrt j.\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 134 - 28. Suppose b - 13 = m. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25834*d**3 + 25843*d**2 - 51659*d - 18.\nAnswer: (d - 1)*(d + 2)*(25834*d + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1444 - -1042.6. Let n = z - -221.3. Let v = n + 168. Round v to zero dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6639057mm in meters?\nAnswer: 0.0006639057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u - 2. Let v be n(7). Calculate the remainder when 55 is divided by -2*(-5)\/(v\/76).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1384 is divided by 128.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 - -1 - (8 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1960*b**2 - 10*b + 10*b + 379*b**2.\nAnswer: -1581*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1114340 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2 - 38*x + 5 in the form o*x + m and give o.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 4*w + 8 - 6, 23 = 3*p + w for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -478 divided by 1?\nAnswer: -478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-8))\/((-115)\/1564)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + -3. Let u = 10.9 + x. Sort 0, 1, u in decreasing order.\nAnswer: 1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 - -1.2. Sort u, -3, -2\/9 in descending order.\nAnswer: u, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(2\/9)*l)\/l)\/(l*l**3)*(l\/(l*l**3))\/l*l**(2\/9))\/((l**(-3\/7)*l)\/(l*l**(-3\/2)))**(12\/7) assuming l is positive.\nAnswer: l**(-433\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x + 0*x + x**2 - 2*x to the form h*x**2 + w + c*x and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1176378 to the nearest integer?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 746 a factor of 48923905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1728 - -605. Let d = -796 + y. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8612?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/10)\/(2\/(-20)). Let z = -8 - -8. Suppose z*k + y = 2*k. Calculate the greatest common factor of 36 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49\/75 + -4\/75. What is the second smallest value in 0.5, -4, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9398431968726 and 2.\nAnswer: 9398431968728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 6*k - 3. Let u be p(-2). Let r(d) = -d + 11. Let b be r(u). Solve h + b - 4 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 325 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**4 - 35005*f**3 + 139963*f**2 + 1435005*f + 1260036 = 0.\nAnswer: -4, -1, 9, 35001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -1. Let u = -17250\/7 + 2459. Find the common denominator of r and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2527409389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-42) - (-19)\/3*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v**3\/3 + 6. Let s(u) be the second derivative of 13*u**4\/12 - 14*u. Determine s(c(t)).\nAnswer: 13*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-13)*t*t\/t**(-2\/49)*t)**(19\/6)*t**(4\/7)*(t*t\/(t*t*t\/(t*t**(2\/21)*t)))\/t*t*t**(-8)*(t*t\/((t*t*t*t*t**7\/t*t*t*t)\/t))\/t assuming t is positive.\nAnswer: t**(-7184\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.7 + -2.9. Let i(y) = y**2 + 9*y + 9. Suppose -7 = -0*p + p. Let r be i(p). Which is the third biggest value? (a) k (b) -1\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 - 30. Suppose g*u = -2*l + 12, 4*u - l - 5 = -0. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153442, -307621, -461786, -615931, -770050?\nAnswer: -924137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 11) to base 8\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 464 = 3*g, 3*g - 281 = -2*j + 189. Calculate the remainder when g is divided by 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) -0.2 (c) -0.1 (d) 33687\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 121*b**3*j*t**3*v**3 + b**3*j*v**3 + 8*b**3*t*v - b**3*v**3 - 8*b**2*j*t**3*v - 2*b*j*t - 195*j*t**2*v**3 wrt t?\nAnswer: 726*b**3*j*v**3 - 48*b**2*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.006.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y. Let w(k) be the first derivative of -15\/2*k**2 + 0*k - 7. Determine w(v(x)).\nAnswer: -30*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 15641600 to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 94, -1\/2, 1\/34?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 602955 and 15073875?\nAnswer: 15073875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -6*x - 11. Suppose 2*h + 3 = 5. Let l be h - (6 - 3) - 5. What is the units digit of k(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6458 or -6462?\nAnswer: -6462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -7. Let x(p) = -p**3 + 15*p**2 - 14*p + 3. What are the prime factors of x(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-4)\/(-24) - -2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-7)*p*p*p\/(p\/p**(4\/3))*p*(((p*p**0)\/p)\/p)\/p*p**(3\/7) assuming p is positive.\nAnswer: p**(-89\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 271794 and 582?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 131460966 and 585?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-4 - 1) + (-30 - -29).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.049 (b) 2 (c) -21 (d) -2\/5 (e) 1\/7 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {i: 7, b: 6}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631 is divided by 40.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 10*n - 33*n + 4*n - 4 + 9*n + 12*n. Let m(y) = -3*y + 4. What is 6*i(f) + 5*m(f)?\nAnswer: -3*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 3*v**2 - 6*v - 3. Let q be c(-4). Let l = q - 3. Let -l*g**4 + 3*g**3 - 2*g - 5*g**3 + 2*g**2 + 4*g**3 = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 + -41. Suppose i*v + 2*w = 130, -4*v = -0*v + 3*w - 125. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.19 times -3.36336\nAnswer: -0.6390384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/32143122 and 13\/2915.\nAnswer: 160715610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-226*(-2)\/(-8))\/(-13)). Let x = g - -5921\/2260. Let o = 103\/126 + -8\/9. Find the common denominator of x and o.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**6\/180 - 157*f**5\/90 - 79*f**4\/18 + 777*f**2. Factor l(r).\nAnswer: 2*r*(r - 158)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 69 = 63. Let h(t) = -141*t + y*t + 85*t. Let q(k) = -35*k + 24*k + 8*k. Determine h(q(c)).\nAnswer: -30*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 24 = 3*m - 27, -2*p = 4*m - 42. Calculate the remainder when 36 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 333262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3155034036 to the power of 1\/2, to the nearest integer?\nAnswer: 56170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33690 divided by 3?\nAnswer: 11230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.056 + 4.944. Let l = -0.5 + -2.5. Put v, l, -5 in descending order.\nAnswer: v, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - g + 3. Determine q(6).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 4*l = -33, 5*i + 13 + 18 = 3*l for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzzg when four letters picked without replacement from ccqgzznh.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**3 + 810*l**2 - 22445*l - 23250 = 0.\nAnswer: -186, -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 436 and 132.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6450458999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 267.4863mg to grams.\nAnswer: 0.2674863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e8ecb (base 15) to base 14.\nAnswer: -1534c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 3:16 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3719 - -3651. Let y = 14835524 - 14835455.99917. Let h = y + b. Round h to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 160618.5355 - 32.5355. Let d = -160584.999985 + c. Let o = d + -1. What is o rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*y + 2070 = -4*z + 1343, 2*y + 17 = 3*y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-5) - (-6)\/24*(-42024)\/(-30). Calculate the highest common factor of 56 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*b = 7558, 23*u - 31*u = -b - 15050. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**3)\/g*g*(g\/(g*g**(2\/107)\/g))\/g*g*g*g*g\/((g*g\/(g**(-10)*g*g))\/g)*g**21)**(8\/3) assuming g is positive.\nAnswer: g**(12824\/321)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 7 - -13) + -13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1068, -1012, -910, -744, -496, -148?\n\"Answer: 3*n**3 + 5*n**2 + 20*n - 1096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 11. Let b be 6*(-3)\/6*d. Differentiate -a + b - 6 + 4*a wrt a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93221139 divided by -11?\nAnswer: 8474649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 1 + 3. Let k(q) = -q - 5. Let s be k(-7). Find the first derivative of f**2 + h + s - 7 wrt f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 3*m**2 - m. Let z be x(-3). Let n(p) = -4*p**2 - z*p**2 + 15*p**2 - 6*p**2. Let h(f) = -4*f**2. Give h(n(u)).\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -516, -517, -518, -519?\nAnswer: -520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 217 and 1523123.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369782614.\nAnswer: 2, 101, 223, 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**3 - 8*c**2 - 84*c - 245. Determine q(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + g**2 + 18*g + 29. Give t(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 378\/693 - (-36)\/(-187). Let v(w) = -w**3 - 3*w**2 - w - 4. Let b be v(-3). Is h greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8 + 0.2. Let x = 9.7 + -10. Let c = 0.2 + x. Which is bigger: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 203*y**2 + 2*y - 2. Does 44 divide n(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -38*x - 1219. Calculate p(-29).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 0 - 4)*(o + 2*o - 4*o) + (-1 + 0 + 5)*(-7*o + 3*o - 8*o).\nAnswer: -51*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, 1, 3, 2\/19, 64.0187, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 f when two letters picked without replacement from gayssfafyryasgry?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7219.1 - -7219. Let h = -0.38 + 0. Which is the smallest value? (a) h (b) -5 (c) -1\/4 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 598 in 0.3, 0.4, -0.05?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 3*r**2 + r**2)*(5*r - r - 2*r) - r**3 - r**3 + 3*r**3 - 6*r + 7*r**3 + 6*r + (-1 - 3*r + 1)*(-4*r**2 + 2*r**2 - 3*r**2).\nAnswer: 21*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 0 - 33*d + 0. Let v(k) = 20*k**2 - 12*k**2 - 11*k**2 + k**2. Calculate v(i(p)).\nAnswer: -2178*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (-1 - -4 - 29). Suppose 0*j - p = -j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -215 and -8681.\nAnswer: 1866415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/5 + 1143652916*f\/5 - 163492749034412882\/5 = 0.\nAnswer: 285913229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1018)\/((10\/10)\/(-2)).\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 24. Suppose 6 = 3*u - z. Suppose 0 = -5*j + u*m + 185, 5*j - 2*m - 103 = 82. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-330)\/(-120))\/((-1)\/(-4)). Solve -l + 9 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -220 + 229. Which is smaller: 14 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9570 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 14*z**2 - 9*z + 10. Calculate the remainder when t(6) is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31275.53 rounded to the nearest 100?\nAnswer: -31300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156890 rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/6*-3 - -78. Suppose 5*n = k + 3. Calculate the highest common divisor of 288 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 100\/6 + 2\/(-3). Let q(z) = 34*z + 2 - 3 + g. Is q(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -352.0477 + 0.0477. Let a = i - -351.9407. What is a rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 31*t**2 + 102*t + 7. Determine l(34).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2 + 8*h + 3. Let d be g(-7). Let o be (-1 + -1)\/(4\/d). What is o rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 102 + 0?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129, 235, 341, 447, 553, 659?\nAnswer: 765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4653.289 nanograms?\nAnswer: 0.000000004653289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/(-77) - -12*27\/1782.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x - 2*x + 0*x)*(-x + 4*x - 2*x)*(-266 + 266 - 89*x**2) to g*x**2 + v*x + f + j*x**4 + n*x**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -17*j**5\/60 - 17*j**2 - 12*j. Let a(g) be the first derivative of z(g). Let d(i) = -2*i**2. What is d(a(n))?\nAnswer: -578*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(-19))**(-1\/5) assuming x is positive.\nAnswer: x**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from uppojmupmujp.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -11\/3 (c) 0 (d) 5593 (e) -0.3 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 5*k**2 + 3*k + 8. Let p be i(4). What is the first derivative of 3*z**p + 15*z**2 - 15*z**2 - 7 wrt z?\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 3\/2*p**6 + 0*p**4 - 15 - 4*p**3 + 0*p**2 + 0*p + 0*p**5. Find the third derivative of n(z) wrt z.\nAnswer: 540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*m - 5520 = 267*m for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*j**4 + 2*j**3 + 118*j**2 - j*s - 23005*s wrt j?\nAnswer: 36*j**3 + 6*j**2 + 236*j - s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -3. Suppose 4*c + 34 = -2. Let p be c\/21 + (-20)\/(-14). Sort a, -1\/2, p in descending order.\nAnswer: p, -1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 994*l**2 + 30*l + 115762 wrt l.\nAnswer: 1988*l + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3073621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -630*i**4 + 3*i**3 + 29*i**2 - 3*i + 3 wrt i?\nAnswer: -15120*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 29076 divided by -6\nAnswer: -4846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*j = 102*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n - 5. What is g(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 305150201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -244*w**2. Let r(s) = 2*s**2. Give y(r(k)).\nAnswer: -976*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6893.\nAnswer: 61, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*u**3\/3 - 7352278*u**2\/3 + 346512579360*u + 53309685600.\nAnswer: (u - 282780)**2*(13*u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -1)\/(1 + 0). Let i(a) = -a**3 + 3*a**2 + 2*a - 5. Let v be i(3). What is the units digit of v\/2*(x - -37)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14710 - -15147. Calculate the remainder when 497 is divided by a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1885 to two dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 5*c**2 - 2*c - 3. Let v be b(4). Let l = -10.72 + -0.28. What is the biggest value in v, l, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/580 (b) -0.059 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 15*z**2 + 18*z + 12. Let k be w(-18). Let q = k + 1287. Solve q*s**2 - 3\/4*s**3 + 33\/4*s + 9\/2 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1671366968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 162858, 325669, 488470, 651255, 814018, 976753, 1139454?\n\"Answer: -j**3 + j**2 + 162815*j + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 236416 or 236413?\nAnswer: 236416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 + 44. Suppose i - 9 = -f, -i + 5*f = -j*i + 9. Let n(x) = 15*x - 12. What is the tens digit of n(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 17, -212, -593, -1126, -1811, -2648?\nAnswer: -3637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fa when two letters picked without replacement from {a: 11, f: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 39*b**2 - 78*b + 280. What is a(-41)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-7))\/(112\/98)*4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u - 7. Let l be m(-8). What is the greatest common divisor of l and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 9*g**3 + 1075*g**2 + 375*g - 5. What is the least common multiple of f(-119) and 1?\nAnswer: 12014","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220 - 72*k - 222 + 366.\nAnswer: -72*k - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-76)\/(-36) + -2)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w - 12. Let n = 183 + -179. Suppose 0*q + 4*q = 4*z - 20, 0 = 2*q - n*z + 6. Give j(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 15 = -2*f + f, 5*f = -3*k + 143. Let c be 4 + (-5)\/(1 - 0) + -234. Let o = -227 - c. Calculate the remainder when f is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b3b0 - 2d9?\nAnswer: 1b0b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2858624051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33820 and 3936648.\nAnswer: 19683240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 3*d + 3 = 0, 6*d = 3*d - 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1)\/(p**18*p) assuming p is positive.\nAnswer: p**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t + 46 + 444. Let m = t + 72. Solve 4*q + 3 = -m*u + 15, 3*q = -u + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(2\/2)*290\/1450?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o**4 - 3*o**3 + o**2 - 3. Let k(t) = -6*t**4 - 2*t**3 - 2. Let w = -2 + 5. Let a(b) = w*k(b) - 2*x(b). What is the third derivative of a(y) wrt y?\nAnswer: -192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 3*r - 16, 10 = -3*b + 11*r - 9*r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 - 116*q + 23. Determine k(-58).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 + -41.4. Let g = 23 - j. Let s = g - -4.697. What is s rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 3*c**2 + 6*c + 4. Determine y(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1046 + -1035. Let v = -25 + 11. Let i = a + v. Is 4\/7 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-21) - 57\/21 - (125 + -130)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 11:46 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*n*w**5 + 318*n*w**2 - n*w - 7*n + w**2 + 2*w + 7 wrt w?\nAnswer: -80*n*w**3 + 636*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -113 - -563\/5. Let j = -1108 + 1107.9. What is the closest to r in 0, j, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -j + 6*j. Let c(y) = 3*y + 85. Let z(a) = -29. Let h(q) = -c(q) - 3*z(q). Determine h(j).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**6\/2 + 2*v**5\/5 + 25*v**3\/3 + 27. What is the third derivative of x(q) wrt q?\nAnswer: -180*q**2 + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -52213?\nAnswer: 52220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 + 0*k - 5 + 4 + 7*k**3 + 0 + 2*k. What is the remainder when 17 is divided by a(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000982484 to five dps.\nAnswer: 0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70 or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4936985?\nAnswer: 5, 71, 13907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 13*d - 5. Let t be v(12). Let c = 11 - 8. Let u = t - c. What is the highest common factor of u and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1049891 divided by 5\nAnswer: -1049891\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - (3 - 13)) + (-1 + 37 - -29)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 4*u**2 + 8*u - 20. Let m be j(-6). Solve 3*r - m = -19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.7382 greater than or equal to 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*y)*(6 - 8 - 7).\nAnswer: 27*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 45 = 5*t, 72*j + 19 = 75*j + t. Solve -12 - 16 = j*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/4))**15*u\/(u*u*u\/u**4)*u**(-9) assuming u is positive.\nAnswer: u**(-73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3414 + 4413?\nAnswer: 10027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)*z)\/z**(2\/5)*(z**(-3\/2)*z)\/(z**(-3)\/z)*(z**1*z*z*z**(-3)*z)\/((z\/(((z**(-5)*z*z)\/z)\/z))\/((z**(-2\/9)*z)\/z)) assuming z is positive.\nAnswer: z**(-371\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 985*r - 57242. Calculate b(-62).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(220))\/(sqrt(99)*-6).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 17*a**3 - 2*a**2 - 2*a + 2. Let g(f) = 34*f**3 - 5*f**2 - 5*f + 5. Calculate 2*g(p) - 5*x(p).\nAnswer: -17*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + j. Let u(t) = 9*t + 5*t + 41*t**2 - 33*t**2 - 10*t. Give -4*d(n) + u(n).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 10:50 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2595178 is divided by 1297558?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9\/110 (b) -3\/54305 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 2\/5, -0.97, -0.3, 0.01, -6.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32800)\/2624 - (-116)\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 81551 = -5*f + 23058, -52305 = -2*c - 3*f. Suppose 3*n - 49653 = -0*n. Let l = n - c. What is l rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24675\/(-115150)*(-12)\/(-1).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -d**7\/210 + d**6\/60 + 2*d**3\/3 - 4*d. Let y(o) be the second derivative of k(o). Find the third derivative of y(n) wrt n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15192503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/4698 - 8209\/11745. Let q = -1984039\/4145680 - -1\/118448. Calculate the common denominator of q and z.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -18*a**3 + 11*a**2 - 2*a + 7. Let i be g(3). Let t = -254 - i. Calculate the greatest common factor of 462 and t.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 61*f**3 + 2*f**2 + 0*f**2.\nAnswer: 61*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31\/5 or 4847?\nAnswer: 4847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 69 - 67 = 0. What is the third derivative of 27*y**2 - 2*y - 4*y**3 - 15*y**2 + k*y wrt y?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000134693802 rounded to six decimal places?\nAnswer: 0.000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/75 of a century?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 + 44*w + 48. Let s be q(-21). Suppose 0*m + 3*t + 3 = -2*m, -m - 3*t - 3 = 0. Suppose m*k - 5*k = -k. Sort k, s, -1.\nAnswer: -1, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 0 - 2)*(-5)\/(-35). Let r be 4*(-4)\/56 - (-12)\/91. What is the fourth biggest value in r, b, 1\/4, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 114 - 23 = v, -4*i - 81*v + 77*v = 276 for i.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 481951 to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 32669*u**3 + 32646*u**3 + 29*u + 38*u**2 - 27*u to the form r*u**3 + i*u + m + v*u**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -678*i**2 - 1 + 310*i**2 + 375*i**2 + 7*i**3 + 282*i wrt i.\nAnswer: 42*i + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 801488 to the power of 1\/2, to the nearest integer?\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(3\/19))**12\/(c**(1\/6)*c*c**22) assuming c is positive.\nAnswer: c**(-1057\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -31050 (base 6) in base 10?\nAnswer: -4134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than 1\/4541928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 plus 0.736?\nAnswer: -17.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**4\/36 - 2*o**3\/9 + 5*o**2\/6 - 2*o. Factor t(d).\nAnswer: -(d - 1)*(d + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(2*sqrt(300) - sqrt(300)))\/(sqrt(96)*-3))**2 - (((sqrt(4)\/sqrt(2))**2 - sqrt(2)) + 0 + (1*sqrt(18))\/sqrt(9) + 0).\nAnswer: 481\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 < -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133138.\nAnswer: 2, 66569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -122066995 or -122066994?\nAnswer: -122066995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q + 1. Let j(x) = x. Suppose 5*b + 45 = 5. Let r = 7 + b. Calculate r*w(m) - 4*j(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (193*j - 6*j**2 + 1 - 193*j)*(5 - 2 - 4)*(5*j - j**2 - 5*j).\nAnswer: -6*j**4 + j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 383052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9708 = -119*j + 1854 for j.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**3 + 5*p**2 + 2280*p + 18000 = 0. Calculate p.\nAnswer: -12, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-1980081.\nAnswer: -990040.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + x + 1. Let g(o) = o**2 + 15*o - 10. Let t(p) = g(p) - 2*u(p). Let v(b) = -b**2 - 7*b - 3. Let a be v(-3). List the prime factors of t(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 380\/(-19)*1\/5*2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*h**2 + 112*h**2 - 58*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + j = -14. Let q(c) = 3*c + 4*c + 4 - 7*c**2 + j*c**2 + c**2. Let g be q(-7). Solve -z = -2*a, a + a = g*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 27 = 4*w, -11 - 22 = 3*w - 5*m. Let l = w + 6. Solve l*z - 5 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 59 - 3. Let r = q - -149. Suppose -s = -z - 2*s + 10, -5 = s. What is the highest common factor of z and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 79*b - 612. Suppose -2*s + 192 = 2*n, -2*s + 291 = 4*n - n. Calculate the remainder when n is divided by d(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k = 680. Suppose 0 = -2*a + 6*a - k. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10914216 divided by 7?\nAnswer: 10914216\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*t + 48. Let x(p) = -p + 16. Let v be x(t). Let i(j) = -j**3 - 1050000. Let y be i(v). Round y to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/2 + 281*f**2\/2 + 7313*f - 15192.\nAnswer: (f - 2)*(f + 72)*(f + 211)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/9 - (-22)\/(-66)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c + 7*c - 140*c**2 - 191*c**2.\nAnswer: -331*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-2)*(56 - 57))\/(1 - (-9)\/(-12)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 205 + -204.64. Put -2, q, 2 in descending order.\nAnswer: 2, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 10:29 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3075aab (base 12) in base 16?\nAnswer: 8b0ee3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98877827?\nAnswer: 98877827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4673908.8768 and 0.359?\nAnswer: 4673908.5178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -21521\/4303 = -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 320 - -2303?\nAnswer: 2623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, a: 1, r: 7, j: 6}. Give prob of picking 1 r, 1 j, and 1 q.\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50521\/100430 - -1\/60258. Find the common denominator of k and -7\/985.\nAnswer: 32505","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 484\/(-66)*3*4\/(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.384556l to millilitres.\nAnswer: 384.556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -24*v. Let i(u) be the third derivative of 0*u**3 + 0 - 1\/20*u**5 + 0*u + 0*u**4 + 9*u**2. Give j(i(q)).\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**2 + 481*c - 1940. Let j be s(4). What is the greatest common factor of 204 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*i + 31*i + 0 + 18 - 10 as t + w*i and give w.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2798*v - 2809*v + 242 = 0 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 10:18 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000248043 to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 2*n + 6*n)*(3 + n - 3)*(-2*n + 0*n - 3*n).\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19063420.\nAnswer: 2, 5, 953171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 24e + 2?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -9. Calculate the remainder when g is divided by 4 + ((-4)\/22 - (-237)\/33).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 12*y - 16*y + 8045 = 0, -4*y - 4 = 0. Do -2682 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16\/(-28) - (-10 - 34367\/7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q + 185. Let t be i(-35). Calculate the highest common divisor of t and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 9*h - 3. Let b(a) = 3*a - 1. Let i(c) = -17*b(c) + 6*k(c). Let q be i(5). Suppose -d = d - q. Calculate the greatest common factor of 14 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - -15 - (-9 - 10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -13827.573 to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 - 32. Let f be 210\/520 - c\/(-13). What is the third smallest value in f, -0.5, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**3 - 6*b**2 + 704456*b - 93631240 with respect to b.\nAnswer: -6*b**2 - 12*b + 704456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21692 and 1915254?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(896\/(-294))*8\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 1 - (0 - 1). Let z be 3*((-12)\/(-9))\/b. Solve 0 = -5*i - 4*a + a + 7, -i + z*a - 17 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35883000 by 79740.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0406 times -336.15?\nAnswer: 13.64769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/5 - 1\/10. Let b(s) = 4*s - 8. Let r be b(12). Suppose 5*v - 3*d + r = 0, -4*v + 5*d - 4*d = 25. Sort o, -4, v in descending order.\nAnswer: o, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377 = 87*r - 406 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -59726*k - 1194522. Give i(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -210 + 210. Suppose 3*w - 40 - 26 = b. Let y = 31 + -1. What is the smallest common multiple of w and y?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11286363 by -1397.\nAnswer: 8079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 16*f + 45423 - 45630, -35 = b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1573.8 times -5\nAnswer: -7869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 21653 = 5*u - 97076, 0 = 3*u - 15*n - 45216. What are the prime factors of u?\nAnswer: 3, 47, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2317\/5 - (-120)\/200. Let q = -1855\/4 + v. Which is the biggest value? (a) -3 (b) q (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*q**2*x**4 + 6*q**2 - 2*x**6 + 13*x**4 - 23*x**2 wrt x.\nAnswer: -96*q**2*x - 240*x**3 + 312*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3109.\nAnswer: 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.45747803 and 0.03?\nAnswer: 0.0437243409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6960.6 + 1603\nAnswer: -5357.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, s: 1, y: 4, q: 2}. What is prob of picking 4 g?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-75)\/21*1\/1 and ((-104)\/14)\/(-2 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 42*r - 117*r + 6 + 38*r + 45*r. Calculate b(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 - 22 = 3583*z - 3588*z for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/6 (b) 1085 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5217.127 kilograms?\nAnswer: 5217127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5953 bigger than 5953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-17)\/((y*y**(1\/26))\/y) assuming y is positive.\nAnswer: y**(-443\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 16*g - 10. Determine a(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -13*v + 992327. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 216029174 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1344\/364 - (((-24)\/(-3) - 4) + 0)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90.56 + -104.56. What is the third biggest value in -11, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -10*a + 91. What is the tens digit of v(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 14, -4, -22, -40, -58?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 38141101 - 53?\nAnswer: 38141037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 3*m**2 + 6*m + 7. Suppose -2*u - 35 = -3*d, 6*u - u = 3*d - 74. Is o(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 (base 4) in base 12?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31\/(-186))\/(2 - (-64)\/(-30)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 129 and 3.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22496 + -22495.912515. Let q = u - 44.780485. Let g = -44.9 - q. Round g to 2 dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 26. Let j(r) be the second derivative of -r**3\/6 + 14*r + 1. Give j(l(h)).\nAnswer: -h + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by -3\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + (0 - -2 - 2). Suppose -5*r - 2 = -22. Suppose 3*c = 2*z + 2, 11*z - 6 = 7*z + c. Solve -p - 8 = 4*n, r*p - y = z*n - 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + o + 3*o + 3)*(4*o - 3*o - 2*o)*(22 - 10 - 6) to the form a*o + d + j*o**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 115\/3 - 38. Suppose -2*l - 6 = -0*l. What is the nearest to i in -2, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 plus -65629?\nAnswer: -65542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2763 (base 14) in base 15?\nAnswer: 20d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -12. Calculate the highest common divisor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 262299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9223 and 575.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -533355 (base 6) to base 8\nAnswer: -125047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -1, 19, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 426474 (base 8) to base 14.\nAnswer: 39db6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12187, 48751, 109691, 195007, 304699?\nAnswer: 438767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -29a464 (base 15) to base 11\nAnswer: -1152532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 0, 53774, -15, 214 in descending order.\nAnswer: 53774, 214, 0, -3\/2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**3\/5 - 323743599*c**2\/5 + 647487189*c\/5 - 323743593\/5 = 0.\nAnswer: 1, 107914531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-60)\/4 + 1 + -1. Let q = f + 80. Let h = q - 193\/3. Which is smaller: h or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -26. Let f be z + (11 - 393)\/(14\/3). Let q = -21936\/259 - f. Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 38 - 38 + 720*u - 4375*u. Let l(j) = -2*j**2. What is v(l(z))?\nAnswer: 7310*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16006, 16031, 16076, 16147, 16250, 16391, 16576, 16811?\n\"Answer: o**3 + 4*o**2 + 6*o + 15995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 69025, 137756, 206537, 275374, 344273, 413240, 482281?\n\"Answer: r**3 + 19*r**2 + 68667*r + 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 134615066 to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -g - 6. Let p(f) = -f**3 - 6*f**2 - 5*f + 2. Let t be p(g). Put 5, -2, t in increasing order.\nAnswer: -2, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.966 times 2129?\nAnswer: -2056.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/3 and -20\/383319.\nAnswer: 383319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f + 0*f - 4*f + (0 + 2 - 3)*(18 - 18 - 9*f).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1299, 4\/11, 3, 5?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -1) + (1 - 0 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide ((-88)\/(-77))\/((-6)\/(-273))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/140*((-1)\/(-12))\/(29\/(-14616)*-36)?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -12?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 53436 = -39977 + 32781. List the prime factors of z.\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -42. Suppose -7*i + 40 = p*i. Suppose -3*v - 5*m = -623, 424 = i*v - 18*m + 17*m. What are the prime factors of v?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*sqrt(171) + 3))**2 - ((sqrt(171) - (sqrt(171) + 1*(sqrt(171) + -1 + sqrt(171) - sqrt(171) - sqrt(171)))**2) + -1).\nAnswer: 891*sqrt(19) + 17498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25376 and 2192?\nAnswer: 3476512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*v + 6 = 0. Let x(z) = 0*z**3 - 22*z - 9*z**2 + 15*z - z**3 - 2. Let c(p) = -2*p**3 - 17*p**2 - 14*p - 4. Let r(m) = v*c(m) - 5*x(m). Give r(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**3 - 8*k**3 + 16845*k**2 - 16845*k**2.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31368019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -a**3\/3 + 7*a**2\/2 + 3*a + 1. Suppose 0 = -5*s + 8 + 17. List the prime factors of h(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (85 + -92 - (0 + -3) - 47) + -9?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 7. Let c be n*1*2\/4. Does c = 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4449673 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -143.8 in -0.4, -4, 0.5, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3018035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 14*s - 5 + 3 + 3 + 2*s. Let o be n(16). Which is greater: o or -2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54223 + 99744. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d27179d + -5?\nAnswer: 1d271798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 4 - 104. Let o = p + 24. Suppose o*s = s + 60600. Round s to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -1 (c) 241\/4 (d) 0.5 (e) 0.155 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 87295785 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.068028 hours in minutes?\nAnswer: 364.08168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 33c1a1 (base 16) to base 5\nAnswer: 1332020110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 25*g**2 - 13*g - 15. Let j(x) = -3*x**2. Give i(j(n)).\nAnswer: 225*n**4 + 39*n**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194 a factor of 3744751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.9 take away -0.02892?\nAnswer: 31.92892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 196 in -8\/3, 7\/10, -75?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h - h + 3*h + (-2*h + 3*h - 2*h)*(-3 - 2 + 6) + 1 - h - 1 + (3*h - 2*h - 3*h)*(-2 - 2 - 4) + 2*h - 2*h + 3*h - 5*h + 3*h + h.\nAnswer: 15*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 31, -1, 4 in increasing order.\nAnswer: -5, -1, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 160 - 82. Let x(i) = -i**2 - 13*i + 24. Let v be x(-18). Let o be c\/v + 8\/44. Do o and -4\/17 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*j**2 - 129*j**2 + 1 + 1.\nAnswer: 16*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (253*p + 74*p + 21*p)*(3 - 4 - 1).\nAnswer: -696*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11011431.\nAnswer: 3, 19, 193183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*q - 4*q - 10*q**2 + 17*q to l + x*q**2 + u*q and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 9 = -2*j + 5*j, j + 4*g = -11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 + 18*c - 15. Let m be f(-10). Suppose 0*u - 2*j + 483 = -m*u, -3*j + 288 = -3*u. Let r be (u\/2)\/(13\/(-26)). Which is smaller: r or 98?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -33. Suppose f = -t + 18 + 7. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/7)\/((-78)\/(-91)). Let m = -6\/77 - 207\/308. What is the third biggest value in -0.5, m, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -107 + 171. Let o = -58 + t. Is o != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -41. Let v(k) = -3*k**2 + 2*k - 3*k - k**3 - k**2. Determine v(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 1:49 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -149, -295, -437, -575, -709, -839?\n\"Answer: 2*t**2 - 152*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/11 (b) 4 (c) -3\/5 (d) -0.5 (e) 11\/678 (f) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8782247 (base 9) to base 2\nAnswer: -10010000000000110101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s + 4. Let w(x) = x**2 + 6*x + 7. Let h be w(-6). Suppose 0 = -q - b + h, -3*q + q = b - 10. Let r be a(q). Sort r, 4, -4 in descending order.\nAnswer: 4, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9849.398cm to nanometers.\nAnswer: 98493980000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7936, -1, -5 in ascending order.\nAnswer: -5, -1, 7936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 3:29 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10, y: 4}. Give prob of picking 2 y.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 1501*a**2 + 214*a + 646. Is y(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 24?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 9:52 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 121948156 and 16390?\nAnswer: 609740780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r - 13. Let f = 21 - 13. Let w(l) = l**2 - 8*l - 6. Let p be w(f). Let b be o(p). Put b, -2, 0 in increasing order.\nAnswer: -2, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000212056 to 7 decimal places.\nAnswer: -0.0000212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + sqrt(80)) - sqrt(80) - (-2*(sqrt(80) - (sqrt(80) - (sqrt(80) - 3*sqrt(80)))) - sqrt(80) - sqrt(80)))**2.\nAnswer: 160*sqrt(5) + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(20\/(-65)))\/(3\/81*360\/40).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*o - 35*o - 78 = 0. Calculate the remainder when 1091 is divided by o.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 385?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 7. Suppose 3*w = -z + 5 - 0, 3*z - 4*w - 67 = b. What are the prime factors of z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 348987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1290063524 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1754280 + 7?\nAnswer: 1754287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 - -49.8. Let o = h + -11. Let u = o - 1.8. Sort -2\/11, -4, u in ascending order.\nAnswer: -4, u, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 0, 1 in increasing order.\nAnswer: -5, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-39)\/12)\/(2*6\/(-192)). Solve 14*w - z = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/5)\/(((-76)\/(729600\/(-64)))\/(2\/(-18)))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2804 is divided by 967.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(810)*-3)\/sqrt(2).\nAnswer: -27*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65*1\/((-50)\/(-10)*(-6)\/6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 5:04 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 51*k. Is 34 a factor of v(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 201 - 199. Let g be 5\/1*6\/15. Let d = j - g. Put -3, -5, d in ascending order.\nAnswer: -5, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(sqrt(36)\/sqrt(4)) + -4*(sqrt(52) + sqrt(13)))**2*-2*-3.\nAnswer: 9438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 39*l*w**2 + 405353*l + 50*w**4 - 4*w wrt w?\nAnswer: 78*l*w + 200*w**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -2 (b) 1\/8 (c) 2\/5 (d) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -955*r**5 + 367*r wrt r.\nAnswer: -19100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 + 111. Let j(t) = 5*t**2 - 63*t - 14. Let q be (40\/(-3))\/(-1) + 18\/(-54). Calculate the remainder when c is divided by j(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m - 14. Suppose 3*d - 4 + 31 = 2*l, -d - 4 = l. Determine a(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168 divided by 11.\nAnswer: -168\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 8:19 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-seven fifths of a litre?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7695, -15348, -22953, -30504, -37995?\nAnswer: -45420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -12459*q**3 - 5*q**2 + 15. Let v(p) = 31097668*p**3 + 12479*p**2 - 37437. Determine -12479*d(c) - 5*v(c).\nAnswer: -12479*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 218b + -25e9?\nAnswer: -45e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*t - 17*t + t + 2*t to the form h + g*t and give g.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -844*v + 113 = -842*v - 7*w, 0 = 2*w + 34 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 105 in -1\/9, -0.4, -0.8?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43\/1 + (-6 - (-84)\/15)*25.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1629 - 1069. Calculate the highest common divisor of r and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/(-1 + 0))\/(9 + -8). Let s be 2*-26*3\/f + -1. Let h = 16 - 14. Solve 0 = -h*g - 2*g + s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 26632578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -119680 by 29920.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) + -4)*-5)**2.\nAnswer: -400*sqrt(3) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7896 divided by -1974?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n + 6. Let m(r) = 5*r - 6. Let g(y) = -7*m(y) - 6*v(y). Does 11 divide g(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.29, 3, -58, 1\/4 in decreasing order.\nAnswer: 3, 1\/4, -0.29, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/4 + 7*i**3\/2 - 16*i**2 + 57*i\/2 - 63\/4.\nAnswer: -(i - 7)*(i - 3)**2*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -244257.1337 to the nearest 1000.\nAnswer: -244000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - n**2 + 2*n**3)*(4*n**2 - 2 + 2 + (2*n - 4*n + 3*n)*(2*n - 4*n + 0*n) + 2*n - 2*n - n**2).\nAnswer: 2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - ((-5)\/(-10))\/((-1)\/7). Let z = 16 - 11. Sort z, -2, b in decreasing order.\nAnswer: z, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 48 - (0 - -4)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 119 + -86. Which is smaller: 100\/3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -84 + 590\/7. Suppose -2*f = 3*w + 24, 11 = -f - w - 1. Let r be 2*-1 - 26\/f. Sort x, r, -1.\nAnswer: -1, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/46, 8, 2, 4, 0.3, -3?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 801359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 - 3 - (-1 - -4). Suppose o*c - 16 = -2*c. Let q(f) = 5*f**3 - 3*f**2. Let s be q(2). What is the highest common factor of c and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -190 + 197.1. Let g = m - 12.1. Which is the nearest to 1? (a) g (b) 1\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-350)\/(-200))\/((-7)\/9)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (31 + -56 + 6 + 114 + -1)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27269\/8181 + 1\/8181. Factor 8\/3 + a*b**2 + 2\/3*b**3 + 16\/3*b.\nAnswer: 2*(b + 1)*(b + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 212839882 to the nearest integer?\nAnswer: 14589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**4\/48 + m**3\/4 + 5*m**2\/8 - m - 13. Let i(v) be the first derivative of l(v). Let i(g) = 0. Calculate g.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -204*n**2 + 311*n + 2. Let l(h) = 613*h**2 - 930*h - 7. Let k(s) = -14*d(s) - 4*l(s). Find the second derivative of k(o) wrt o.\nAnswer: 808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 235395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 + 865.546\nAnswer: 865.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + u - 1. Suppose -5*m + 5*z = z + 35, -m + 4*z - 23 = 0. Let b(s) = -2*s**2 - 2*s + 1. Let g(k) = m*q(k) - b(k). Suppose g(d) = 0. What is d?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -128\/5*x + 12*x**3 + 44\/5*x**4 + 4\/5*x**5 + 144\/5 - 124\/5*x**2 = 0.\nAnswer: -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-7)*(-105)\/(-10). Suppose 5*k - d = 3*g, g + g = -4. Suppose 0 - k = -2*a, -5 = -2*w - a. Solve -4*s - 17 + w = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2785 is divided by 459?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50933027.\nAnswer: 43, 1184489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2812847 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 20. Let g = -12 - o. Suppose 7*m - 3 + 31 = 0. Which is the biggest value? (a) -1 (b) g (c) -1.1 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*m - 790, -2*f - 2*m = -3*m - 529. Suppose 9*x = 7*x + f. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g + 5*g**2 - 3 - 4 + 0. Let p(u) = -5*u**2 - 7*u - 3. Let n(j) = -7*j**2 - 13*j - 7. Let h(f) = 3*n(f) - 5*p(f). What is 6*h(m) - 5*x(m)?\nAnswer: -m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1115591, -1115606, -1115637, -1115690, -1115771?\n\"Answer: -r**3 - 2*r**2 - 2*r - 1115586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 252017797 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1000101?\nAnswer: -1000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 10) in base 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 + -0.2. Let y = -466\/3 + 1867\/12. Which is the nearest to -2? (a) -4 (b) g (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.011 times 0.0402\nAnswer: 0.0004422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*2\/10*-5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 351 = 2*l + x, -l + 198 = -0*x - 4*x. Let w = l + -112. What are the prime factors of (-11)\/w - (-265)\/6?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 15*o - 22. Determine m(-9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 w, and 1 e when three letters picked without replacement from eeewnemwewmqewwn?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/143 and 74\/39.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145252963?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1000*q**3 + 5*q**2 + 2*q - 6. Let x(w) = 1001*w**3 - 4*w**2 - w + 5. Determine -6*x(a) - 5*z(a).\nAnswer: -1006*a**3 - a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 6*i**2 - 5*i + 3. Let q be d(-5). Let k = 52 - 48. Let x be (-3 + (k - (-100)\/(-12)))*q. Is x less than or equal to -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8))\/(8\/(-64)*-3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(1 + -1 + 2). Suppose 3*z - 149 = c, -o*z - 4*c + 3 + 201 = 0. Suppose -z = -4*y - y. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 5*p + 45. Let h(x) be the first derivative of -x**3\/3 - 6*x**2 - 6*x + 5. Is h(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200729 is divided by 288.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 0 + (12 - 15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 = -2*c + 1053. Find the second derivative of 419*p**2 - c*p**2 - 4*p + 7*p**3 + 17*p**3 wrt p.\nAnswer: 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.974*0.2.\nAnswer: 0.1948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.936568 rounded to two decimal places?\nAnswer: 90.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -14*k - 24. Let s(u) = 5*u + 8. What is -8*s(j) - 3*t(j)?\nAnswer: 2*j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -12, 0.1, -5, -3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 228\/18 - 2\/3. What is the first derivative of -s*l**2 - 14 + 44 - 14 - 13 wrt l?\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290351723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/16 and 53\/68.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 181617.99 months in decades?\nAnswer: 1513.48325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13\/218 - 18813\/1090. Let c = b + 17. Sort c, -15, -0.4, -0.3.\nAnswer: -15, -0.4, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1132 (base 9) to base 7.\nAnswer: 2306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 12. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-6) + 3\/9. Suppose -5*r = 3*u - 4 + 13, 5*u - 5*r = 25. Suppose -m - v*a = u, -5*m - 4*a = -a + 3. Put 5, m, 2 in increasing order.\nAnswer: m, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d = -18*d - 98. Let t(z) = z**3 - 6*z**2 + 4. What is the remainder when d is divided by t(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0607 + 4.9393. Which is the closest to 0.1? (a) 14\/5 (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = 4*g - 330. What is the units digit of (g\/(-20))\/(2\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 6*c**2 + 5*c + 3. Let n be (-100)\/(-30) - (-2)\/3. Give w(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2238 (base 16) in base 10?\nAnswer: -8760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-286)\/(-9086))\/13)\/((-10)\/(-70))?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a. Let j(y) be the third derivative of -26 + 0*y**3 + 0*y**4 - y**2 + 0*y - 2\/15*y**5. What is j(f(w))?\nAnswer: -288*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (308 - 314 - ((68 - 2) + -1)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 10*i + 23*i = 0. Solve 12*t - 17 + 5 = i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9521330 to the power of 1\/2, to the nearest integer?\nAnswer: 3086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 10:27 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154686 is divided by 804.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 + -90. Calculate the smallest common multiple of 15 and w*11\/((-11)\/(-20)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 9:38 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4152\/(-8) + 5 - -4. Let w = v - -520. Calculate the highest common divisor of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 18838*q + 88717561.\nAnswer: (q + 9419)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.6 + -0.6. Let g = l - 8. Let n = 40 + -39. What is the smallest value in 1\/6, n, g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 278 (base 9) to base 6\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60642 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25487662.5 nanoseconds to days.\nAnswer: 0.00000029499609375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 348\/203*28\/(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 1060 - 4004. Suppose -56*k = -55*k - w. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 1. Let m = -3 - -4. Let j be w(m). Suppose z + 10 = -3*f - j*f, 2*f = z - 10. Which is the third biggest value? (a) -1\/3 (b) z (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1665, 2, -12, 5.\nAnswer: -1665, -12, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 642 is divided by 152?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 1. Let b(z) = -8*z + 9. Let q(v) = -2*b(v) - 18*d(v). Let g(u) be the second derivative of -1\/6*u**3 + 0*u**2 + 0 - 2*u. Calculate g(q(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 3*l**2 - l - 6. Let j be m(-3). Which is smaller: 65 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, -803, -2257, -4281, -6869, -10015, -13713?\nAnswer: -17957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 471 - 597. Let y = s + 1384\/11. Which is the closest to -1? (a) y (b) 0.01 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 + 7 + 5)*(2*o**2 + 3 - 3) + 0*o**2 - o**2 + 3*o**2 to q + p*o**2 + g*o and give p.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + -3*(0 + 3 + 1*sqrt(75) + sqrt(75) - 1*(sqrt(75) + -1)*3))**2.\nAnswer: -570*sqrt(3) + 1036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3a + -1bd260?\nAnswer: -1bd224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 5*l**2 - 3*l + 8. Determine i(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*x - 3*x - 100 = 0, 3*x = 4*w + 129. Let u = w - -46. Solve -5*o - u = m, -2*o + 3 = -5*m - 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/336 and -37\/1176.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 506774 + 5?\nAnswer: 506779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -120 <= -168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1adb7 + 5bb?\nAnswer: 1b483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 437952?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(17) + -2))**2 + ((sqrt(119)*1 + sqrt(119))\/sqrt(7))**2.\nAnswer: -36*sqrt(17) + 257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 102?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.1 + 1.82. Let z = n + 1.88. Let t = 1.59999953 - z. Round t to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/23)*l\/l**(-2\/49))\/(l**0)**(-3\/31) assuming l is positive.\nAnswer: l**(1271\/1127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-26 + -18 - -38) + -3 + (1 - 1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 635*v**4\/12 - 785*v**3\/2 + 1679*v**2 - 3. Differentiate f(k) wrt k.\nAnswer: 1270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 4*s - 72 = -61, r = -s + 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32\/3*(-9)\/3. Let i = 35 + k. Suppose 0 = -i*g + 2 + 76. Solve o = -3*z - 10, -6*o - 3*z - g = -o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/10 - (-2)\/(-5). Let f(i) = -4*i - 4 + 2*i + 8. Calculate the remainder when 14 is divided by f(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 542 - 101. Suppose 4*p - 542 = 2*p. Let m = v - p. What are the prime factors of m?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -84b - -1968?\nAnswer: 1119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.07 and -1094154460.1.\nAnswer: -1094154460.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*i**6 - 2*i**4*s - 2*i**3*s + 10*i**3 - 14*i**2 - 874*i*s wrt i.\nAnswer: 840*i**3 - 48*i*s - 12*s + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - y = y + 352, 3*y + 350 = c. What are the prime factors of c?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15196350, -15196375, -15196424, -15196509, -15196642, -15196835, -15197100?\n\"Answer: -2*o**3 - 11*o - 15196337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3 + 23*i + 3 - 20*i. Let v(h) be the third derivative of 0*h + 0 + 1\/60*h**5 + 0*h**4 + 0*h**3 - h**2. Calculate g(v(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**2 + 173*j - 1898. Determine w(-56).\nAnswer: 958","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**5 + 220*b**4 - 18000*b**3 + 663390*b**2 - 10537695*b + 58510998 = 0?\nAnswer: 13, 18, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -250 + 252. Solve -3*c - 3*c**5 - 11*c**2 + 6 - 338*c**3 + 344*c**3 - c**h + 6*c**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11818, 47574, 107174, 190618?\n\"Answer: 11922*j**2 - 10*j - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12\/1429 - -39279\/82882. Let u = 337\/522 + b. Determine h, given that 2\/9*h**4 + 4\/9*h + 2\/3*h**5 - 2\/9*h**2 + 0 - u*h**3 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12615)\/522 + (-6 - -30)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-95)\/(-76))\/((-30)\/12))\/(1\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-18) - 992\/(-72). Suppose 3*l + 5*b = -4, -2*b = 3*l - 8*l + u. Suppose -x = -l*x + 17. Calculate the remainder when x is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.05, -0.2, 2\/7, -1, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (5 + 6 + -6)) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 5 (b) 4 (c) 0.3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 154988 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38629?\nAnswer: 38629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 208 - (-1)\/(3\/3). Let f be 24\/11 - 38\/h. Let x(a) = a**3 + 7*a**2 + 4*a - 8. Let o be x(-6). Solve 0 = 2*i + o*l + f, 2*i + 11 = 3*i - 2*l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -95*s. Suppose -25*h + 2*h - 46 = 0. Does 5 divide t(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bj when two letters picked without replacement from jxnjbffnjnxn?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + a - 5 = 0, 3*s - 1 = -9*a + 7*a for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g - 19. Let w(y) = 3*y - 9. Determine -4*o(h) + 9*w(h).\nAnswer: -5*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18194, 72633, 163318, 290255, 453450, 652909, 888638?\n\"Answer: s**3 + 18117*s**2 + 81*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -18.63 times -0.0191\nAnswer: 0.355833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - q + 0)*(-9*q - 2*q - 9*q)*(5 - 5 - 2).\nAnswer: -40*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.85 * -0.0087.\nAnswer: 0.007395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = -12*d + 7*d. Let a be 8\/(-10) - 98\/d. Suppose 0 = -3*y + 5*w + 22, 5*w = -y + a*w - 2. Solve -y = p - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, t: 1, z: 1, s: 2, u: 10, v: 2}. Give prob of sequence svz.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -70 + 69 + 0*x - x + 2*x. Let m(n) = 6*n - 2. What is 4*l(d) - 2*m(d)?\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 17 + (-67 - -70).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141848796.\nAnswer: 2, 3, 151, 78283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 224575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b + 0*b**2 + 0 + 2\/3*b**3. Let l(s) be the third derivative of s**5\/30 + 1667*s**2. Give l(f(n)).\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.8 + 6. Let m = z - -8.8. Let o = -324\/1903 + -2\/173. Sort -1, o, m in descending order.\nAnswer: m, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -21*r**3 + 4*r**2 + 16*r + 82. What is the thousands digit of m(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1483 - 1478. Solve -u*y - 4*i = -4*y + 1, 5*y + 5*i = -20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*r - 9*r - 783. Suppose -2*q + 7*q + 4*b = r, -2*q + 3 = -b. Solve -6 = -3*f + q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 378 and 4746.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*((-3)\/(-18))\/(-3 + 0). Let y(u) be the second derivative of u + 0*u**2 - x*u**4 - 1\/6*u**3 + 0. Find the second derivative of y(a) wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -323 - -167. Let m be (-3)\/(u\/(-8) + 0). Are 2 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t + 18. Let m be y(-3). Solve 3 - 15 = m*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, d: 1, m: 2, b: 3}. What is prob of sequence mq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -18*n. Let b(h) = h. What is -6*b(x) - t(x)?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43974 is divided by 506.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*h + 2111*h + 2408*h = -33744 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 9:24 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a millimeter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 f when three letters picked without replacement from {x: 2, m: 4, a: 1, f: 8, v: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0*a**(-2\/3))**(2\/21)\/((a*a**3)**(6\/23))**(-8\/7) assuming a is positive.\nAnswer: a**(1636\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 641434279?\nAnswer: 641434279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-416556)\/(-20706) + (-2)\/17.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 - 0.8. Let c = 4\/31 - -42\/155. What is the smallest value in c, 0.03, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -d, d + j = 5*j. Suppose d = -5*g + 2*a + 4, -2*g + a = -3*g - 2. Let s be (-36)\/16 - (-2 - g). Is s not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -610708 divided by 476.\nAnswer: -1283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 4)*(4*w**2 + 10*w**2 - w**2).\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1581\/8455 or 1?\nAnswer: -1581\/8455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -23647 >= -23646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 40*k**2 + 16*k - 115. What is the hundreds digit of h(40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 11. Suppose g - 7*g + 18 = y. Solve 5*m + 17 = t, g = t + 3*m + 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193, -1318, -4305, -10084, -19585, -33738, -53473, -79720?\nAnswer: -113409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, 4, 724, 1 in descending order.\nAnswer: 724, 70, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7266 = 11*i - 357*i for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -268 - -1077\/4. Suppose p + 1 = 2*p. Which is the closest to p? (a) 0 (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39331 is divided by 4877?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 353, 20, -4\/13, -3\/4, -46 in increasing order.\nAnswer: -46, -3\/4, -4\/13, 20, 353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -0.08 (c) 2 (d) -0.05 (e) 14\/31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236578?\nAnswer: 2, 23, 37, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34706599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2423820 divided by -4060?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sq when two letters picked without replacement from {s: 2, e: 5, q: 8}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -29500*k + 767054. Determine b(26).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 45*s**2 - 45*s - 35. Calculate b(-44).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7988\/77 - -730\/7. Let p = 9079 + -45393\/5. What is the third biggest value in p, -0.3, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*x = 113, 23 - 69 = -3*n + 4*x. Let b = -1623 + 2437. Calculate the greatest common factor of b and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-136 - 2*b + 5*b - 5468 + 1239)*(2*b + 0*b - 3*b) as i + r*b + t*b**2 and give r.\nAnswer: 4365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6670920\/(-161))\/(12\/(-280)). Round q to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*q - 248 + 2146, -5*b = q - 458. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28.51 - -0.51. Let m = c - -27.35. Let p = 0.64971 + m. Round p to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-36)\/10*2\/(-3))\/((-26)\/(-1560)). What is the greatest common factor of i and 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53064+-14\nAnswer: 53050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1992.45 - 1736.168. Let j = -256 + h. Round j to 2 decimal places.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or 4\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*(sqrt(40)\/sqrt(72))**2 + 2*((sqrt(500) - (sqrt(500) + sqrt(500) + 1 + sqrt(500))) + sqrt(500))**2).\nAnswer: -18026\/3 - 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-12))\/(-6 - 116\/(-18)). Put a, 0.1, 4\/31, 5 in ascending order.\nAnswer: a, 0.1, 4\/31, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-40.9.\nAnswer: 16.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 - 25*y - 13. Let z be x(13). Which is the biggest value? (a) -0.4 (b) 2 (c) z (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.5 (b) 4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/18 and (2\/324)\/(4 + 5370\/(-1341)).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(3\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 1 + 0)*(-4 - 1 + 3) - 1 + 4 - 1)*((2*d - 2*d + 2*d)*(d - 2*d - d) + d**2 + d**2 + 5*d**2) to the form u + n*d**2 + t*d and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*i - 4*x, 5*i + 2*x = -4 - 9. Let l be (-12)\/18*1386\/(-44). Let a be (-5 - (-98)\/l)*i*1. Sort -5, 4\/15, a in decreasing order.\nAnswer: a, 4\/15, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2850223104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 11 = -t - 9, -2*u = 3*t - 6. Let g be (2\/10)\/((-6)\/(-135))*t. Let j(n) = n**2 - 4*n + 2. Let b be j(4). Solve -b*s = s + g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by 234.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -31\/5, -2\/19, 18?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6888 and 20760?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4638, -4639, -4640?\n\"Answer: -a - 4637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and -1.569?\nAnswer: -0.06276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - -60. Suppose 55 = -f - o. What is f rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 1) + -11 + 0 - (69 - (-27 + 101)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103072172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -14*g**3 + 6*g**2 + 11*g + 11. Let f(a) = 12*a**3 - 5*a**2 - 12*a - 10. Calculate 6*f(s) + 5*q(s).\nAnswer: 2*s**3 - 17*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.15, -0.5, 0.1 in descending order.\nAnswer: 0.1, -0.15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(0 - 2\/(-2)). Suppose -2*z - u*z = 0. Suppose 4*c + 15 = 5*d, d = 2*c + c + 3. Solve c = -z*o + o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-145482626\nAnswer: 436447878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -453 - -450. Let x be 6\/60 + (-1)\/2. What is the closest to x in r, -1\/11, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18810 to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-60))\/(3 + (-1989)\/715).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1092.78 and -0.01.\nAnswer: 1092.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 + 51. Let p be (-1)\/r + (-588)\/(-72). Suppose 11*v = p*v + 21. What is the greatest common divisor of v and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 178167*c*f**3 - 2*c*f**2 - 64*c*f - 95*c - 28*f**3 + 2*f**2 wrt f.\nAnswer: 1069002*c - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11011 (base 2) to base 4\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 0*y**3 + 6*y**2 - 1\/8*y**4 + 0*y**7 + 0 + 0*y**6 - 1\/84*y**8 + 0*y**5 + 0*y. Find the second derivative of l(w) wrt w.\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 32 = -8. Let q(p) be the first derivative of p**3 - p**2\/2 + 3*p + 1. Is q(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 3*y**2\/2 + 244. Let p(o) = -38*o**2. Calculate a(p(f)).\nAnswer: -114*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + 0 + 17\/(119\/(-14)). Let n(b) = 7*b - h + 16*b**2 + b**3 - 7*b**2 - 2*b. Give n(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -v + 300. What is the greatest common divisor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*q**3 - 13*q**2 + 14*q**2 - q**3 + 11*q**3 + 23 to f*q**2 + k + w*q**3 + i*q and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by -45.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -53758 (base 12) to base 11\nAnswer: -75666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 6. Let v be g(-3). Suppose -5*z + 9*l + 10 = 6*l, -3*z - 3*l + 6 = 0. Suppose 5*r = 2*u, -5*u = -z*r - 7 - 14. Solve -v + u = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(7\/2)\/t)\/(t**(-13\/2)*t))\/(t\/(t*t**(-5)*t*t)*t)**(-31) assuming t is positive.\nAnswer: t**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7 - -1 - 3) + -2. Suppose -b*y + 1788 = 4*g, -g + 0*y = -y - 447. Suppose -4829 = -2*s - g. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-o - o + 4*o)*(-3 + 1 + 0) + 4*o + 2*o - o)*(0 - 2 + 0).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -231c9c1 - a?\nAnswer: -231c9cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**5\/4 + 327*y**4\/2 + 6903*y**3\/4 + 3699*y**2 - 5589*y = 0. Calculate y.\nAnswer: -207, -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 - 7*c**2. Let g(k) = k**3 - k**2 + 1. Calculate -4*g(t) + y(t).\nAnswer: -2*t**3 - 3*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 12:29 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + v - 1. Let o be b(-2). Is -2\/701 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 77*d - 81*d - 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 w, and 1 v when three letters picked without replacement from {p: 4, m: 1, y: 1, u: 1, w: 3, v: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3762385 or 3762389?\nAnswer: 3762389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 221*w**6\/120 + 3*w**5\/10 - 5*w**3\/6 + 2*w**2 - 58*w. What is the third derivative of t(d) wrt d?\nAnswer: 1326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 8*r - 4. Let g(w) = 2*w. Let i be g(-5). Let z be o(i). Suppose -z = -3*v + 2. What is the remainder when 9 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huhhx. What is prob of sequence xh?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 687*c = 339*c + 345*c + 36 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**5\/60 - b**3\/3 - 3*b**2. What are the prime factors of u(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*a = 6*b + 11, -2*b - 6 = -2*a. Let x(i) = -5*i**3 + 3*i**2 + 3*i - 6. Let j(v) = -1 + 2*v**2 + v**2 + v - v**3 - 2*v**2. What is b*x(f) - 3*j(f)?\nAnswer: -2*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 o, and 1 f when three letters picked without replacement from pofxxpx?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 10:21 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, b: 1, x: 11}. What is prob of picking 2 x?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 138*s + 4747. What is v(-64)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52172 = -3*d - 4*d + 186894. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r - 9*r + 5 - 14*r + 4*r. Let w(k) = k**2. Determine w(q(b)).\nAnswer: 256*b**2 - 160*b + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5*g + 30, -5*g + 8*g - 5*w + 22 = 0. Let b(y) = -5 + 9*y - 8*y + 4. Let n(u) = 3. Determine g*n(p) + 2*b(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - 46. Let q be (-3)\/15 - u\/420. Suppose -2*c - j + 61 = 69, 3*c - 10*j = 11. Put c, -0.3, q in descending order.\nAnswer: q, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3384*g**3 - 15902*g**2?\nAnswer: -20304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (11 - (25 + 0 + -15)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 45, 185, 427, 783, 1265, 1885?\n\"Answer: 2*h**3 + 39*h**2 + 9*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/170*1003\/118?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, 0.1, -677?\nAnswer: -677","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -5. Let b be (1\/p)\/(2\/8). Suppose 9*v = b*v + 20. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 - 2*s**2 - s**3 + (-4 + 1 + 1)*(-3*s**3 - s**3 + 3*s**3) + 0 + 2*s**3 + 0 + 4*s**2 - 4*s**2 - s**3 - 40*s**2 - 2*s**2 - 20*s**3 + 19*s**3.\nAnswer: s**3 - 42*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 10*y**2 + y + 1. Let s(a) = -3*a**3 + 150*a**2 + 1983*a - 1. Let q(w) = -s(w) - z(w). Find the second derivative of q(g) wrt g.\nAnswer: 12*g - 320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.05 - 0.45. Let o = g - -4.416. Round o to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 288 * -5\nAnswer: -1440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 485046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 8540 = -4*o + 55412, -5*o - 15964 = -g. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r**(9\/2)\/r))\/r)\/r*r*r**(6\/5)*(r**(-5)\/r)\/(r*r**6))**(-2\/77))**(-32) assuming r is positive.\nAnswer: r**(-4896\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n. Let r(h) = -h**2 - 4*h. Let u(t) = 4*a(t) + r(t). Let m be ((-1)\/2)\/((-1)\/4). Let c(j) = m + j - 2. What is c(u(z))?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -1. Suppose c - p*c = -38. Solve -4*x - c = -3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/5, 0, -2\/7, -24\/127?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103\/4 - 729\/28. Let i = -1 - -0.3. Let b = -0.6 - i. Is w < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1139 + 1141. Factor 0 - 8\/3*a**p + 2\/3*a + 2*a**3.\nAnswer: 2*a*(a - 1)*(3*a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 211 + 359. Let y = w + 139. What are the prime factors of y?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*m - 112 = 537 + 53 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -172.4858 rounded to the nearest integer?\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 2*j - 3*j)*(-j**2 - 3*j + 3*j)*(3 - 2*j - 3 + (-7 - 7 + 4)*(j - 3*j + 0*j)).\nAnswer: 36*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) -0.01 (c) -0.5 (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 221\/(-624)*-48*-3?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - (-2 + 1)) + 4. Suppose 15 = z*a - 69. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 30*d - 4. Let i(n) = -77*n + 12. Let r(k) = -3*i(k) - 8*v(k). What is r(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-325)\/(-150))\/(423\/(-10152)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -625*k**5 + 5*k**3*u**2 + 1464*k*u**2 + 3*k wrt k.\nAnswer: -12500*k**3 + 30*k*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + 0 + sqrt(28))**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6224142 - 2?\nAnswer: -6224144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a week in minutes?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**3*m**2 + 159*j**3 + 3*j**2*m - 3*m**3 with respect to m.\nAnswer: 4*j**3*m + 3*j**2 - 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7*u**2. Let h(y) = 64359*y. Determine v(h(j)).\nAnswer: -28994566167*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 22 = -2*n - 74, -5*n - 2*l + 34 - 11 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -391358 divided by 15?\nAnswer: -391358\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 3819416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - b - b**2 + 0*b**2)*(-b + b + b) + 4*b**3 - 2*b**3 + 10*b - 3*b.\nAnswer: 3*b**3 - b**2 + 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 20*q + 5. Let u be j(20). Solve -4 = 9*p - u*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 7. Let j be m(0). Find the first derivative of 19 + j*a + 7*a - 5*a wrt a.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -8.1. Let i(z) = 2*z**2 + 5*z - 4. Let y be i(-2). Let f be 0 - y - (-2 + 4). Which is greater: s or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13185864 divided by -387\nAnswer: -34072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5 + 7*y - 3 + 6. Let q = 2 + 0. Let w be p(q). What is the highest common divisor of w and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-126)\/(-3))\/6 - -43?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssb. Give prob of sequence bs.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2277, -2280, -2283?\nAnswer: -2286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13072.72895 + -13073. What is r rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 times -1.6?\nAnswer: 73.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 12*u**2 - 13*u + 34. Let v be h(10). Suppose 175 = k + 3*p, -k + 2*p - v = -294. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (15903\/279)\/(-3 - (4608\/382)\/(-4)) is divided by 330?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v - 12. Let x be r(-3). Which is greater: -19 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/13, -956, 5\/2?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.62244 - 0.5661. Let p = b + -22.68034. Let u = p - -0.024. Round u to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21092 - -21094. Let n(h) = h**3 - 6*h**2 + 6*h + 2. Determine n(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.8 - 43726862.\nAnswer: -43726859.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -363501 by 13463.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -102 + 158. What is the remainder when c is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s\/(s**(-1\/4)*s)*s*s*s*s*s*s)\/s))\/s*s*s**(-5))**44)**(2\/151) assuming s is positive.\nAnswer: s**(-814\/151)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 26*s**2 - s + 2. Let g be y(-26). Suppose 4*w = -5*k + 202, -2*w + 13 + 97 = -2*k. Let z = w - g. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*a**3 + 120*a**3 + 133*a**3.\nAnswer: 359*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + r - 4*r - 3, -2*k = 2*r + 26. Let m = k - -15. Suppose 18 = -2*t + 5*t. Calculate the greatest common divisor of t and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1051*x + 1052*x + 20 = 2*y, 8*x - 5*y + 50 = 0. Suppose 0 = m + 14 - 3. Which is the third smallest value? (a) m (b) 2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d**2 - d**2 - 2*d**2. Let g(r) = 4 - 4 - 2*r + 0*r. What is g(q(o))?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549*a + 7732 = 28594 for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 308881, 309143, 309405, 309667, 309929, 310191?\n\"Answer: 262*m + 308619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*o = 857, 3*o - 10 - 5 = 0. List the prime factors of j.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - v - 8. Let m be z(0). Let q be (-1)\/(-2*(-2)\/m). Let u(i) = 2*i**2 - q*i**2 - i**2. Let t(d) = 2*d**2. Determine t(u(w)).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67 - -50. Let d(l) = -1. Let y(h) = -h - 22. Let m(z) = 4*d(z) - y(z). Calculate the lowest common multiple of 10 and m(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/4*((-176)\/(-28) - 8) - 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujotp. Give prob of picking 1 p and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, -1\/4, -14\/17, -2\/11, 0.7, -2\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2244587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -457 - -456.9. Which is the closest to 3? (a) i (b) -0.2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 198 + -156. Calculate the highest common factor of 399 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51927221*m**3*r**2 - 914*m**2*r**2 - 94*m**2*r + m*r**2 + 3*r**2 - 13*r wrt m?\nAnswer: 311563326*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 14*s**2 - 11*s. Let z(t) = 2 - 9417*t - 2 + 9417*t + 3*t**2. What is z(v(b))?\nAnswer: 588*b**4 - 924*b**3 + 363*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 181\/110 + -8\/55. Which is the third biggest value? (a) 16 (b) h (c) 0.4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -510 or -2717?\nAnswer: -510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a - 2*a)*(-189 + 366 - 189) + (3*a - 2*a + a)*(-1 - 2 + 4).\nAnswer: 26*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 + 213388763*b - 213388763*b.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/5 - 218*z**2\/5 + 1801*z\/5 - 1582\/5.\nAnswer: -(z - 7)*(z - 1)*(z + 226)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*k**2 - 1 - 10*k**2 + 0*k**2 + 11*k**2 - 6*k**3 - 8*k**2 + k to the form j*k**3 + w + g*k + a*k**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.008 * 2030\nAnswer: 16.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*m - 33 = 21, 0 = -2*t - 2*m + 36. Let j be (t\/9)\/((-2)\/(-4)). Solve 7*s - 3*s = -j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 13 = -2*z, 2*j + 5 = -z + 1. Suppose t + 2*d = 5 + 5, 0 = 2*t - z*d - 2. Calculate the greatest common factor of 32 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 311 - 293 - (1 + 14)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -75*b - 32. Let r be n(-4). Let g(j) = 2*j - 543 + r + 275. Let f(s) = 2*s - 9*s - s - 13*s. Determine g(f(x)).\nAnswer: -42*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32033 = -10*w + 61897. Let f = w - 131437\/14. Find the common denominator of -1\/4 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -275398 divided by -1175?\nAnswer: 275398\/1175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*j**4 - 1\/2*j + 1\/2*j**3 + 1\/2*j**2 + 0.\nAnswer: -j*(j - 1)**2*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) 9 (c) -1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17, 0, -1, 14\/5, -3.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5734\/5, -15, 0 in ascending order.\nAnswer: -5734\/5, -15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1587, -1580, -1567, -1548, -1523?\n\"Answer: 3*l**2 - 2*l - 1588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 10. Suppose -3*g - 214 + 74 = -q, -g - o = 0. Is 41 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2117\/4 - 1 - (-18)\/(-72)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(57) - (1*sqrt(684))\/sqrt(12))\/sqrt(3) - (5 + sqrt(76)\/sqrt(4) + 5)).\nAnswer: sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((3\/18)\/1)\/(73563\/(-7812)))\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -31*y**4 - 16*y**3 - 24*y**2 + 2*y + 3. Let m(o) = -o**3 + o**2 - 2*o - 3. Let h(s) = -b(s) - m(s). Find the third derivative of h(j) wrt j.\nAnswer: 744*j + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*g = -211*g - 292200. What is g rounded to the nearest 1000?\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368018960 rounded to the nearest one hundred thousand?\nAnswer: 368000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79 - 51. Suppose 4*d - 2*s + 2 = 0, -5*d + o - 8 = 2*s. Calculate the greatest common factor of 5 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-240)\/(-50)*(-390)\/(-12). Calculate the greatest common divisor of 36 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -740370 + 165570 = 427*g - 452*g. List the prime factors of g.\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -28 + 6 + 2 + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -365*d**4\/12 + 123*d**2\/2 + 6*d + 17. What is the derivative of h(r) wrt r?\nAnswer: -730*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11965ab - -4?\nAnswer: -11965a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 5*v - 197, -v - 431 = -3*n - 110. Let c = -102 + n. Solve 0 = c*r - 10 + 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 - h**2 - 2*h**2 + (4*h - 3*h + 0*h)*(-4*h - 3*h - h) + 9*h + 3*h**2 - 9*h.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 2:53 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from iijijiixiiijixxixij?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1446980144 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**30*q*q)\/q**(-20)*q**43\/q**(-17))**(-27) assuming q is positive.\nAnswer: q**(-1431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five quarters of a tonne?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 300 and 180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -152 + 7*x**2 - x + 151 + 0*x**2 + 5*x**2. Give h(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 511 = -224. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 1331*s + 21. Give o(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - -1. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37484 not equal to 27924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1*34 - (-200)\/(-25) and ((-2)\/6)\/(5\/(-30))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -653023*d + 2949816 wrt d.\nAnswer: -653023","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1045451 > -1045651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 12 + 1583*f.\nAnswer: 1583*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -r - 13, -2*n + 3 = -2*r + 9. Let c = r - 4. Suppose c*w = -3*m + 81, -m + 0*m + 21 = -w. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(-3160)\/(-24)*42\/15. Suppose u = g - 4*q, -2*q = q - 15. List the prime factors of g.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 9*f**2 + 25*f + 18. Let a(g) = -2*g**2 - 5*g - 3. What is -11*a(z) - 2*d(z)?\nAnswer: 4*z**2 + 5*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267*n + 280 = -489*n + 262*n. Calculate the highest common factor of n and 966.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -39, 1\/305, 12?\nAnswer: 1\/305","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 41 + (-26 - -2) + 22?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(425))**2 - (0 + sqrt(2057) + sqrt(2057))**2 - 2*1*sqrt(2057).\nAnswer: -6528 - 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -2\/45 (b) 4 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2*(2\/(-6))\/(24\/108)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002624 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 116 and 20?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1607\/4 - 401. What is the biggest value in 3\/7, f, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15880.\nAnswer: 2, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -235 - -319. What is the remainder when t is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 11*l - 24. Suppose -5*m - 2*a = -55, 2*a = 7*a + 25. Let g be s(m). Solve 3*p + g*p + 15 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 10.1. Let j = 14 - v. Let u = -0.4 - -0.3. Which is the nearest to 0.1? (a) 1 (b) j (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 9*l - 5. What are the prime factors of s(-13)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1807?\nAnswer: 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**2*t*x**2 - 8*i**2*t - 41*i*t*x + 14*t + 3*x**2 + 11*x wrt i.\nAnswer: -2*i*t*x**2 - 16*i*t - 41*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(1\/3))\/((q*q\/q**11)\/q))\/(q**1\/(q*(q**(-3)\/q*q*q)\/q)) assuming q is positive.\nAnswer: q**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 18780 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3078813*13.7\nAnswer: 42179738.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -310.111 and -348122?\nAnswer: 347811.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/4)*l)**48)**(-4\/25) assuming l is positive.\nAnswer: l**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6*11 + -58 + 54\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 2496?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 308850117 to the power of 1\/2, to the nearest integer?\nAnswer: 17574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 times 2?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 t when two letters picked without replacement from {i: 1, t: 1, o: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 120, 118, 114, 108, 100?\n\"Answer: -k**2 + k + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kvvvvvkvevek. What is prob of sequence kek?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -11*v - 14. Let m be t(-2). Solve -m = -x - 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by -1.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311 = 14*v + 16*v - 718 - 823 for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2133 - 2132.9. Which is the second smallest value? (a) -2 (b) 2 (c) 9 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.012 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -46*m. Let s(a) = 2*a. Suppose -12 = 2*t - 2*c, 0*c = 3*c. Let i(g) = -3*g. Let o(k) = t*s(k) - 2*i(k). Determine p(o(x)).\nAnswer: 276*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -0.173, -0.3, -0.1, 141?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 393579 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*s + 75. Let q(n) = 116*n - 4. Let r(u) = -58*u + 2. Let m(y) = -3*q(y) - 5*r(y). Let j be m(-1). Calculate the highest common factor of j and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*h**2 + 1 - 82*h**2 - 1 to the form f*h**2 + a + r*h and give f.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 629*r - 54*r - 7296*r to c + p*r and give p.\nAnswer: -6721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -294.13 - -299. Let s = 0.13 + r. Let l(t) = -3*t**2 + 1. Let m be l(-1). What is the second smallest value in m, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7926*b**3*j**2 + 529*b**3*j - 2*b**3 + b**2 + 611*b*j**2 + 6017*j**2 wrt b?\nAnswer: 47556*j**2 + 3174*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3260180 a multiple of 770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -177313 (b) 47 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4307299 to the nearest integer?\nAnswer: 2075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 7*y**2 - 9*y - 42. Let f be v(9). What is the highest common factor of f and 1807?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 811 + -783. Calculate the lowest common multiple of k and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -14840*p + 148380. What is n(10)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 6:34 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r + 1. Let t be l(-4). Let v(j) = -j**3 + 4*j**2 + j + 3. Let i be v(4). What is q in 3 - 10*q**4 + 6*q + i*q**4 - t*q**3 + 3*q**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**5 - 420*a**4 - 25675*a**3 + 88950*a**2 + 2405720*a + 2291520 = 0. Calculate a.\nAnswer: -42, -8, -1, 11, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*y = 19 + 1, z - 2*y = 4. Let u = z - 1. Calculate the smallest common multiple of 3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, f: 1, b: 2, t: 1}. What is prob of sequence db?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1312 or 13806?\nAnswer: 13806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d - 2*d - d)*(0 - 2*d + 0) + d**2 + 2*d**2 - 7*d**2 - 239*d + 235*d - d**2 + 0*d**2 as v*d**2 + b + z*d and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41531734?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 180*s + 21177. What is f(-81)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/(8\/((-160)\/165))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-208)\/(-36))\/(((-5440)\/720)\/(-68)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 10:47 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/6*-6 - (-26 - -32). Put n, -4, -1, -5 in increasing order.\nAnswer: -5, -4, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 508 - 275. What are the prime factors of r?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30130 + -1203?\nAnswer: 23422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50784?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3000202182 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -0.5, -0.4, -27\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32 take away -74.9?\nAnswer: 75.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1\/3, 5\/4, 2\/635, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -790526 divided by 11?\nAnswer: -71866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1160 and 9048?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5 - 36*r)*((-5*r**2 + 2*r**2 + 4*r**2)*(4 - 4 + 1) + 0*r**2 + 2*r**2 - r**2).\nAnswer: -72*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 - -aa?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k**2 - 8*k**3 + 14*k**3 - 3*k**3 - k - 2*k**3 + 3*k**2. Let w(i) = -2*i**3 + i**2 + i. Give b(j) + w(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117, 0.2, -2, 2, 213, -0.02 in descending order.\nAnswer: 213, 117, 2, 0.2, -0.02, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**17\/((p*p*p*p**(-1\/19))\/p)*p*p\/(p\/(p*p\/p**(1\/3)))*p*p**(19\/4) assuming p is positive.\nAnswer: p**(5351\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1*-1*17\/(476\/98).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 137769584 equal to 137769585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 5, 3 in increasing order.\nAnswer: -42, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - 11*a**2 - 6*a + 5. Let h be s(6). Let i be -3 - -2 - (-16)\/4. Suppose -i*b = -1 - 5. Solve -z - 3*t = t + h, b*z - 2*t = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 1607*v**5\/10 - 1027*v**3 - 2540*v - 2. Find the second derivative of s(u) wrt u.\nAnswer: 19284*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30703 is divided by 274?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/1*-1*-419. Let j = t - -428. Solve 5*f - j*f + 8 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 411, 443, 475, 507, 539?\n\"Answer: 32*a + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4043 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 783931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*3*3)\/sqrt(288))**2.\nAnswer: 171\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**3 - 2064261*i**2 - 355096757544*i + 355098821808 = 0 for i.\nAnswer: -344044, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 0 - 3589*j + 0 + 3. Let p be s(1). Let z = p - -5116. Round z to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**3 - s - 1. Let k be a(-1). Suppose -2 + 7 = 5*t. Which is smaller: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 30 (b) -14 (c) 0.4 (d) -2 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30706, 61411, 92138, 122899, 153706, 184571?\nAnswer: 215506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.1 - 10.16. Round g to 0 decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -263582*a**2*t**2 + 27*a**2*t + 2*a + 3*t**2 - 697 wrt t.\nAnswer: -527164*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-34150)\/(-125))\/(4\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*s = -5. Let g = 10 - 8. Suppose g*x = 2*k, k + 9 - 1 = 5*x. Sort s, 1, x in increasing order.\nAnswer: 1, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f - 5*f + 112 + 295 = -279 for f.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9.5 and 210414893071.\nAnswer: 210414893080.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 88. Determine m(-15).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -756081685, -756081694, -756081715, -756081754, -756081817, -756081910?\nAnswer: -756082039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -7. Let l(g) = g**3 + 5*g**2 + 4*g + 2. Let o be l(s). Find the third derivative of 8*d**2 + o*d - 3*d**3 - 2*d - 13*d**2 wrt d.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-130*(-1)\/(-4)). Let f = -1771\/260 + v. What is the common denominator of -4\/75 and f?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**2 + 11*j - 4. Determine m(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*d + 908, -991 = -3*z + 7*d + 1745. Solve -5*p + z = 891 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -29*y + 25*y. Solve 0 = -y*t + 8, 4*t - 21 = 7*q - 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1312, -3, -235, -1\/4, -1\/2 in descending order.\nAnswer: 1312, -1\/4, -1\/2, -3, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 4*r = 9*r - 42297. Calculate the remainder when r is divided by 80.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.89 rounded to zero dps?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263*c + 21 = 270*c. Suppose c*v = 488 + 1435. Is v a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88 + 133. Let x = 53 - 18. Let i = x - w. Which is the third biggest value? (a) 5 (b) i (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11075 is divided by 203?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.7 + 0.3. Let l = 0.23 + -0.13. Which is the closest to 0? (a) -0.2 (b) l (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l**(2\/5)*l*l*l)\/(l*l**(2\/17)\/l*l)*l**(-25)*l**(-2\/5)\/l assuming l is positive.\nAnswer: l**(-359\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4784948837*w - 4784948836*w + 9569897669*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2263\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -516, -1030, -1544?\nAnswer: -2058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6380946003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 3385.5 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319 = 6*i - 1121. Does 17 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98 + 266. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97\/((-2)\/(-1624)*2) - (55 + -53)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 8:38 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/7 of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93091 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + (2 - 7))\/2. Let l = k + 6. Solve -l*d + 3 = -2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 0.165395?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271670 is divided by 135166.\nAnswer: 1338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000775 rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 257, 553, 1001, 1649, 2545, 3737, 5273?\nAnswer: 7201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -921 - 564. Is v a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107904991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a. Let p(s) be the second derivative of -s**5\/60 + s**3\/3 - s. Let r(j) be the second derivative of p(j). Determine r(b(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w**2 - 3. Let h(o) = -20*o**2 + 13. Calculate -2*h(a) - 9*l(a).\nAnswer: -5*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/10)\/((-90)\/75*(-13)\/((-195)\/(-20)))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (46 + 35 - 77)*(-u + 6*u - 2*u)*(0 - u + 0 + 0 - u + 0 + (5*u - 3*u - 4*u)*(-3 + 2 + 2) + u - 4*u + 2*u) to n*u**2 + x + s*u and give n.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 14*p - 16. Does 13 divide a(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 - 2016661*j + 2 + 2016661*j.\nAnswer: 5*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 2*b**2 - 5 - 18.\nAnswer: -3*b**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 > 66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 - -81. Calculate the smallest common multiple of 6 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 345 = -68*g + 69*g, -4*g - 150 = -n. What is the highest common divisor of n and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4) + (-2 - ((-45)\/9 - -3))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 1*(0 + 13 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.261 - 138.739. Let c = 139.03 + q. Which is smaller: -4 or c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2119 is divided by 230?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8565\/12562*48\/(-180).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*a - 52*a = 2812. Suppose -a + 11 = -5*h. Is h a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -52, -0.3, 0.1, -180?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16366 + -16366.034. Put m, 2, -3\/7, 1 in increasing order.\nAnswer: -3\/7, m, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2. Let r(y) = 1538786*y. What is r(x(w))?\nAnswer: 3077572*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*k + 138495 = -1042355. What are the prime factors of k?\nAnswer: 5, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (39\/(-3) + 4). Let g be 79 + -1 - (0 - -1). What is the greatest common factor of o and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 7. Let u be b(-2). Let v(m) = m - 6. Let f(k) = -k + 4. Let g(p) = p - 3. Let r(t) = -4*f(t) - 5*g(t). Let s(z) = u*r(z) - v(z). Give s(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 - 50*o - 93. Let n be q(-2). What is the closest to 6 in n, -2\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 915\/122*120\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q**2 + 10*q - q**3 + 0*q**2 - 5 - 4. Let c be a(6). What is the tens digit of (c\/1)\/((-9)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 142.50001163 - 142.5. Round l to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 2 + 2)*(-6 - 17 + 14) + (-3 + 3 + 4*a)*(-2 - 4 + 3).\nAnswer: -39*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 2, 50 in ascending order.\nAnswer: -15, 2, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 305784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1280, 3, -3, -9 in ascending order.\nAnswer: -9, -3, 3, 1280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14673451 * -5.\nAnswer: 73367255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 4*r - 151 + 176, -2*u - 3*u - 402*r = -397*r - 40 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -13*s - 20. Calculate v(-8).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 5299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -4 + -3 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-11 - (-30 - -17 - -19)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 2*n - 52, 5*w - 8*n + 3*n - 130 = 0. Suppose -s = -0*s - w. What is the remainder when s is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845115323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/2, 0.5, 1\/9, 0.06, 0.0867?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*s = 485, 0 = 5*l + 3*s - 596 + 119. Let x(k) = 3*k - 2. Let m be x(6). What is the greatest common factor of m and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 224\/(-44) - 4\/(-44). What is the nearest to 1 in 0.15, 2, r, -2\/13?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g + 6. Let c(t) = -11*t - 13. What is 6*c(a) + 13*s(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*x**2*y**2 + 339*x**2*y - 23*x**2 + 218*x*y**3 - 4*x*y + 3*x + 625*y**3 + 2*y + 10 wrt y.\nAnswer: -22*x**2 + 1308*x*y + 3750*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 130\/4 - (-51)\/(-34). Suppose 0 = m*y - 352 - 1012. What is the highest common divisor of 176 and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1068 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5 = -0*t. Let w be (-3 + 3)*(t - 0). Which is the closest to -3? (a) -3 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n - 2. Let q be s(4). Suppose q = -0*z + z. Find the third derivative of 5*y**z + 5*y**6 - 3*y**6 - 6*y**2 wrt y.\nAnswer: 240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -186 - -192. Let h(q) be the second derivative of -q**4\/24 + 2*q**3\/3 - 19*q**2\/2 - 7*q. Let c(g) be the first derivative of h(g). Determine c(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*f**2 + 45 - 45)*(-5 - 5 + 4) + 0*f + 0*f - f**2.\nAnswer: -139*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqjplzljl. What is prob of sequence pqz?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + 13. What is the lowest common multiple of 5 and w?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6970808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fourty-seven quarters of a second?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2963282331 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*3662\nAnswer: -732.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 20*w**2 - 7*w + 11. Let a be f(2). What is the greatest common divisor of a and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/4 of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 385 = 147. Suppose 0 = o + o - a. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 2, 161.22, 4, 0.058?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -v**2 + 3*v - 2. Suppose 39*t + 8*t = -0*t - 47. Let n(i) = -i + 1. Give t*r(p) + 3*n(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.31 + 0.01. Let o(g) = -g**2 + 3*g - 2. Let z be o(2). Let w be 2\/8 - 6\/(-8). Which is the nearest to z? (a) -0.1 (b) v (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkmk when four letters picked without replacement from mkkkkmkkmmkkkkkkmk.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-4 - 2) + (14 - 11)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 6*m = -2. Calculate the least common multiple of -6*2\/(4\/(-3)) and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-36)\/96*-12)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 - 766*h - 29942. Calculate b(-36).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = -8*k - 6. Let n = 750 - 369. Suppose k*r - n = r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -9*k - 4. Let c(u) = 8*u + 3. Give 7*c(z) + 6*s(z).\nAnswer: 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 11*i**2 - 11*i + 5. Let h be x(10). Let l be ((-4)\/h)\/((-1)\/(-5)). Which is bigger: l or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3)\/n*n**(2\/7)*n*n\/(n\/((n**(-6)\/n)\/n))*(n*n**2*n)\/n)**(-2) assuming n is positive.\nAnswer: n**(212\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 252*g**2 + g - 17. Let w be x(0). Suppose 0 = 3*n - 4*p - 63, p + 35 + 19 = 3*n. Let m be (w + n)*(-1)\/2. Solve m = 2*f + 3*f + 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12369 = -5*j - 4*b, -j - b + 1574 + 900 = 0. Let k = j + -1276. What are the prime factors of k?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10815*v - 4*l = 10816*v, 4*v = -5*l - 11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from wmwwxwkmxq.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 63*g**2 - g + 78. Give s(63).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 8 (b) 9 (c) 41 (d) 4 (e) -2\/3 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 201338899 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -26*r**2 + 15*r + 25. Let p(f) = -f**2 + 7*f + 11. Let n be p(8). Let a(w) = -13*w**2 + 7*w + 12. Let k(s) = n*y(s) - 7*a(s). Does 20 divide k(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 5:21 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1526391 and 1034573.\nAnswer: -491818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (136 - 15*i - 136)*(-1 - 2 + 0)*(-2*i + 9 + 58*i - 9) + 0*i**2 - 4*i**2 + 0*i**2 in the form k*i**2 + c*i + u and give k.\nAnswer: 2516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 6 + 9. Let q(a) = -a**2 - 7*a - 7. Let i be q(-6). Let o be i + y + -5 + (-6)\/(-2). Solve o = x - 3, -22 + 6 = -2*t - 2*x for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - s**2. Let z(d) = -10*d**3 + 97*d**2. What is -6*r(j) - z(j)?\nAnswer: 4*j**3 - 91*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000811089 rounded to 6 dps?\nAnswer: 0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.49950063724 - 0.4995. What is w rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-14 + 24 + -9)*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 - -6.6. Let z = l + -42. Let h = z - 16. Round h to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42\/11 + -73\/22. Is 38\/3 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v. Let w(a) = -6*a. Calculate -10*o(z) + w(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*i**2 - 88*i**3 + 86*i**2.\nAnswer: -88*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 73901049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 5*r**2 + 17*r - 12. List the prime factors of c(-9).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 6. Let n = -19434 + 19444. What is d(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 3:48 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 9779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*x + 54 = -141*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 84587*f**2 + 184618.\nAnswer: 169174*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 3465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1121 is divided by 196?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 + 0)*(2*i - 7*i + 4*i) + 78*i - 106*i - 118*i)*(1 + 1 + 3) + 3*i + 3*i - 4*i.\nAnswer: -733*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -9607613\nAnswer: 4\/9607613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ypll. Give prob of sequence yp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1170 is divided by 190?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-52)\/(-3) - (-8)\/12. Let g be c\/(-12) + (-6)\/(-4). Suppose 0 = 5*z - k - 96 - 645, g = 3*z - 2*k - 439. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1329571383 to the nearest integer?\nAnswer: 36463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 8*h - 12. Let b be a(7). Let z = b + 7. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 u when two letters picked without replacement from hffhfhwwrfu.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-32 + 1 + 58)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -18*y**2 + 279*y - 16. Determine g(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drtq when four letters picked without replacement from qttqrtqtrrtqrtd.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = -5. Let x be ((-42)\/(-4) + 0)*(-30)\/(-75)*5. Suppose -5*l + x = 2*b, 2*l - 5*b - 11 = a. Solve -4*m - 2 = -3*z + l*z, m + 4*z = -18 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/135 and 5\/108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31.056 + 31.1. Let l = t + 0.15. What is l rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10430000 to the nearest one hundred thousand.\nAnswer: -10400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x + 21*x + 500 = 0. Let c = x - 99. Let g(n) = 3*n + 5*n - 2*n + 2*n + c. Calculate g(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -14*c**2 - 2*c - 1. Let u be x(-1). Let r be (u - -3) + 1 + 1. Let t be 6\/(-4) + (-4)\/r. Is 1\/6 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 8*r - 6. Let u be j(-6). Let x be 27\/(-6)*u\/(-9). Suppose 24 = -x*z + 4*z. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (144\/(-480))\/((-6)\/(-5))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -7, 5 in descending order.\nAnswer: 5, 0, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -127978?\nAnswer: -51191.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 4 + sqrt(13) + 3)*-1 - (sqrt(3146) + sqrt(3146)*-2)\/sqrt(2))**2.\nAnswer: -126*sqrt(13) + 1102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**4\/2 + 2*z**2 - 2*z + 1. Let q(b) = -3*b**3 - 5*b + 3. Suppose 3*a = 9, -m - 5*a = 2*m. Calculate m*t(x) - 4*q(x).\nAnswer: 2*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -80762.2 to the nearest one thousand.\nAnswer: -81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i - 18*i - 10*i.\nAnswer: -32*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -1226\nAnswer: 245.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*a + 2 - 3 + (3 + 15 - 3)*(-6 + 4*a + 6) in the form o*a + s and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/684 and -55\/6?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 328452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -3\/7, 63, 0.4, 0.5, 5\/3 in ascending order.\nAnswer: -3\/7, -1\/4, 0.4, 0.5, 5\/3, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2 - 2*i**2 + 47 - 10. Is 12 a factor of l(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 2 + -8 - (-5 + (16 - 4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095492757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 313608 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 38841310, 38841307, 38841304, 38841301?\n\"Answer: -3*d + 38841313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 2877258.\nAnswer: -1438629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -10*z + 237. What is j(23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (((-5103)\/42)\/(-9))\/((-21)\/28).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 318*y**4 - 6662*y**2 - 31*y + 53345?\nAnswer: 3816*y**2 - 13324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 594089?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 + 1164*o**2 - 122655*o + 1848150.\nAnswer: -3*(o - 185)**2*(o - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 1\/5, 1.04, 0.08 in descending order.\nAnswer: 1.04, 1\/5, 1\/6, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1151004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11913, 23878, 36009, 48408, 61177, 74418, 88233, 102724?\nAnswer: 117993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 34 - 0 - (-3669 + 3703)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 27.9, 0, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/27 and 11\/3051?\nAnswer: 3051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -289*r + 3840. Let t be m(12). Which is smaller: t or 363?\nAnswer: 363","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69696757435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4949?\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 - 3. Which is smaller: -66 or f?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 564 = -4*y, -161 = 3*y + n - 597. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1567071270.\nAnswer: 2, 3, 5, 59, 199, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3789120 and 160.\nAnswer: 3789120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1044568 and 186530.\nAnswer: 5222840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -178 >= 188\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-10)*(-2555)\/438)\/((-12)\/12)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-492)\/287*(-196)\/54.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3893 + -3895. Let v(m) = -2*m**2 + 3*m + 2. Determine v(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*r - 111*r = -806. Let a(n) = n**3 + 12*n**2 - 11*n + 28. What is a(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 826396 is divided by 313?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*u - 27. Suppose 0 = -u*d + 1314 + 478. Suppose -11*w + 4*w + d = 0. Is 16 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f + 19 - 35. Factor -2\/5*i**f + 0*i + 0*i**3 + 2\/5*i**4 + 0.\nAnswer: 2*i**2*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxxx when four letters picked without replacement from {p: 10, x: 4}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -652*z**2 + 4*z. Let f(p) = 2*p**2. What is a(i) + 8*f(i)?\nAnswer: -636*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9022745 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 12:00 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 0 + 1\/120*n**6 + 0*n**4 + 25*n**2 + 0*n + 0*n**5 + 3\/2*n**3. What is the first derivative of t(w) wrt w?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/(-20)*(-4)\/3. Let x be 1\/l + 85\/(-150). Are x and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 6 = -3*d + 5*d, -2*r = 0. Suppose 5*z = -4*c + 740, c = -3*c + d*z + 772. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -288400 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117524 and 2200?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15155 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z = 1 + 19 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00712 rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 11*c + 18. Let f be u(10). Suppose -3*v + 73 = 4*z, v - 2 - 1 = 0. Let h be (16\/1)\/(4\/z). Calculate the greatest common divisor of f and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 6 - 15 = 0, 0 = 3*u + 2*h - 12. Let v(s) = s. Let m(b) = -b + 8. Let j be m(7). Let c(a) = -5*a + 2. Let k(w) = j*c(w) + 4*v(w). What is k(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 138\/345*(-275)\/((-2)\/2). Let s be (-4)\/(152\/d) - (8 - 11). Suppose 5*b - 19 = 3*r, b = -2*r - 4*b + 4. Which is smaller: s or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + sqrt(171) + sqrt(171) + sqrt(171)*-1 + sqrt(171) + -2 + sqrt(171))**2 + -3)*2.\nAnswer: -96*sqrt(19) + 5474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1362a6786 - -3?\nAnswer: -1362a6783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 7*i - 5. Let s be y(6). Let g be (s - (3 - 1))*-12. What is the common denominator of 1 - (-17)\/g - 0 and -127\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4579 = 6*l - 8*l, -2748 = -3*s + l. What is the remainder when s is divided by 454?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 10:20 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 - (5 + -3 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3096 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2\/9))\/x**(-34)*(x**(-23))**(-2\/55) assuming x is positive.\nAnswer: x**(17849\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 0, -4*y = -5*u + 360 + 460. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.136 - -9.336. What is the fourth smallest value in -17, g, -5, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 241 + 1?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23935*m = -23932*m + q - 9, 4*m + 19 = 5*m - 5*q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 4*i + 9, 2*i + 13 = 13*b - 12*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -70, -0.03, -41, -0.05?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 3. Let t = n - -1. Suppose 124*z + 1152 = 196*z. Solve -3*w - t*r = 9 - 1, z = -w - 4*r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -101361 and 0.05531.\nAnswer: -5606.27691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -33 + -8c9c?\nAnswer: -9002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 21, -3\/4 in descending order.\nAnswer: 21, 4, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 20538\/11, -4, -0.1, -0.82 in decreasing order.\nAnswer: 20538\/11, -0.1, -0.82, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -0.03783.\nAnswer: 2.96217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*j**2 - 187*j**2 + 64*j**2 + 65*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + 0*o + 8*o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 161 + -153. Which is the nearest to d? (a) 4 (b) 2\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-396)*9 + 8\/44.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 0.01 (b) 0.7 (c) 3\/5 (d) 4\/7 (e) -5224\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23084 and 5394.\nAnswer: 2146812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 660475664 plus 1?\nAnswer: 660475665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-6))\/((-7)\/((-42)\/(-27))).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (105\/45)\/(5\/(-15))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1175*m + 19071 = 1815*m + 1280*m + 1791. Let k = -35 - -95. What is the remainder when k is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1161146, -2322296, -3483446, -4644596, -5805746, -6966896?\n\"Answer: -1161150*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k + 2. Is 10 a factor of m(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*y + 197*y + 9 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 1. Let i(o) = 5*o. Let x(p) = i(p) - 2*w(p). Let v = 7 + -4. Let f be (-18)\/v*6\/12. Let r(l) = -l. Determine f*r(u) - x(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*b**2 + 194133*b - 2972644?\nAnswer: 10*b + 194133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5634)\/1252)\/((-10)\/(-8)*126\/(-245))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(2\/7)))\/(u*u*u*u\/(u*u*u\/u**(1\/4)*u)*u)*((u**5\/u*u)\/u)\/(u**(-7\/4)*u) assuming u is positive.\nAnswer: u**(53\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 6, -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*d + 16, 4*l - d - 12 = 2. Suppose 15 = k + l*k - z, -3*z = 0. Find the second derivative of -2*o**k + 4 - 4 + 4*o - o wrt o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 6*w**2 - w + 8. Let d be h(6). Suppose 0*v - 26 = -d*v. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -590 = 5*p + 695. Let a = p - -264. Solve h = 11 - a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18432.34 + 18598. Let g = c - 172. What is g rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -79 != -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 + k**2 - 5*k**2 + 3*k**2 + 0*k**2 - k**2 + (0*k - 4*k + 2*k)*(3*k - k - 4*k) + (-k - 4*k + 4*k)*(-k - 4 + 4).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 8*o**2 - 3*o - 22. Let r be j(-8). Suppose 3*u - u - r*m = 12, -4*u - 4*m = 0. Solve n = -5 + u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37500\/(-1735000)*(-5)\/(225\/12)?\nAnswer: 2\/347","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 9*f**2 + 10*f + 14. Let t be -1 + -2*(-7)\/2. Let z be 9 - -1 - (6 - t). Calculate the lowest common multiple of d(z) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001349939 to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of u**3*w + 44*u**3 + 1131*u**2*w**2 + 366*u**2*w - 551*u + 7 wrt w.\nAnswer: u**3 + 2262*u**2*w + 366*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.2 (b) 0 (c) -81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24242102 - 42?\nAnswer: -24242144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-2) + -2 + 6\/3. Let d be (n\/(-2))\/((-6)\/4). Let q(i) = 10*i**3 + 2*i - 1. Determine q(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 48402 + 24?\nAnswer: 48426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 0*c**4 + 3*c + 0*c**2 + 3\/5*c**5 - 1 + 0*c**3. What is the first derivative of y(f) wrt f?\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2.602343um?\nAnswer: 2602.343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k. Give o(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**5 - 2577287*g**3 + 4210*g - 489 wrt g.\nAnswer: -40*g**3 - 15463722*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1909519\/2362440 + 1\/19687. Find the common denominator of 71\/100 and u.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*t + 1961 = -753 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 67, 81, 93, 103, 111?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 277, -3, 0.5, 0.11, 6, -1\/2, -0.27?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(-4) - 55\/(14 - 3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 221, 35, -273, -703?\nAnswer: -1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 22 = 25. Let k be -2*r\/((-2)\/39). Let g = 33 - k. Is 25 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - k - 30, -2*p - 3*p + 3*k + 40 = 0. Solve a - 5*u = 4*a - p, -5*a + 3*u = -31 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -164.7.\nAnswer: 165.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1562, 1596, 1688, 1868, 2166?\nAnswer: 2612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21691399 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 23*a**5\/20 + a**4\/6 - 9*a**3 + 30*a. What is the second derivative of w(m) wrt m?\nAnswer: 138*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 18*l + 8. Let v = -1046 - -1028. What is d(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-1))\/(-3)*(-5018)\/(-42653).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 156438 - 777?\nAnswer: 155551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1*(-10)\/15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 2*k - 2*k)*(25692*k - 25642*k + 2 + 1).\nAnswer: 50*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23\/4, -51290, 0.5 in decreasing order.\nAnswer: 0.5, -23\/4, -51290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 1\/2*n**2 - 2 - 4*n. Let t(u) = u - 3. Give -5*b(a) + 6*t(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/((-92)\/(-24) - 4). Let q be (0 - -6)\/(-1 - h*1). Let j(b) = -b + 16*b**q - 7 - b**2 - 6*b**3 - 11*b**3. Determine j(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 3321096.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -479, -1, -179, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6561*r + 3030*r + 2579*r - 693690 for r.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 2 + 2)*(3 - 1 - 1)*(-7*n**3 + 11*n**3 - 16*n**3) + n**3 + 0*n**3 + 13*n**4 - 2*n**4.\nAnswer: 23*n**4 + n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -3 + 11 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 1c?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5940958 and 874.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -584, -540, -496, -452, -408?\n\"Answer: 44*n - 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.5 (b) -10 (c) 0 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 439 + -237. Is k a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 24, 3, -3 in increasing order.\nAnswer: -33, -3, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -358*m + 20997. Let z be v(41). Calculate the highest common factor of z and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(320)*2 - sqrt(245)*-1) + (-4 + sqrt(80)*-1 - 2*sqrt(80)*-2)) + 3)**2.\nAnswer: -5950*sqrt(5) + 153414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**3 + 6*y**2 + 51*y - 5. Calculate d(-5).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -139 - 3*m + 11*m**2 + 148 + 0*m - m + 0*m in the form d*m + x + a*m**2 and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551 is divided by 83.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*n + 296037 + 2031301. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ageg when four letters picked without replacement from {a: 1, s: 10, g: 2, e: 1}.\nAnswer: 1\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*m - 319 = 3*j, 2*m + 2*j - 324 = 0. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 + 20979*w**2 + 14129070*w.\nAnswer: 3*w*(w + 755)*(w + 6238)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3)*c**(-2\/5))\/(c*c**(-5))**14 assuming c is positive.\nAnswer: c**(844\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, k: 11, r: 1, w: 2, g: 1}. What is prob of picking 2 k and 1 r?\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(14\/8) - -3. Suppose -13 = f + v, 5*f + v + 14 + 47 = 0. Let q(t) = -18*t. Let x(p) = p. Let h(b) = a*q(b) + f*x(b). Give h(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (50\/((-15200)\/532))\/(7*1\/(-8)). Suppose 60*g**c - 56\/3*g**3 - 28\/3*g - 8 = 0. Calculate g.\nAnswer: -2\/7, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 5471*z**3\/3 - 9392*z - 2171. Find the first derivative of u(d) wrt d.\nAnswer: 10942*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2213 is divided by 2002.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*d + 18. Let u = -50 + 97. Find the common denominator of -27\/7 and 1\/d*(0 - u).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1393173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -255971 + -1.\nAnswer: -255972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 9:27 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -446, -884, -1314, -1736, -2150?\nAnswer: -2556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608160?\nAnswer: 2, 3, 5, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 507 a factor of 112047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*h + 50005 = 4*h, -3*h - 9985 = -n. Suppose 23*f = 25*f + n. What is f rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*a**2)*(46 - 46 - a)*((-3*a**2 + 23*a**2 + 30*a**2)*(-4 + 5 + 2) - a**2 + 0*a**2 + 2*a**2).\nAnswer: -302*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -57\/32, -3, 27514 in ascending order.\nAnswer: -3, -57\/32, -1, 27514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1 - 5 + 15*i**2 + 1 + 38*i**2.\nAnswer: 53*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 95 and 4536590.\nAnswer: 86195210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-60)\/(-18)*4\/5. Let t = q - 13\/6. Let o = 652\/2853 + -2\/317. What is the nearest to t in o, -3, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 + 9*v**3 - 16*v**3 + 5*v**3 - 24 as p + a*v + q*v**2 + l*v**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 6*x**2 + 6*x - 1. Let d be g(6). Suppose -18 = -h - 5*p, -3*h + 0*h = -4*p - d. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 19 + 1\/(-2)*-2. Suppose -2*a - 9 + 65 = 0. Let o = a - p. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*a**4 - 25*a**4 - 6*a**4 + a**4 + 2 - 2 + (a - a + 4*a**2)*(-1 - a**2 + 1) + (-4 + 0 + 6)*(2*a**4 - 4*a**4 + 3*a**4))*(0*a + 2*a + 0*a).\nAnswer: -44*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 0.0451.\nAnswer: -4.9549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 12 + (23 - 14)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u + 2*u + 51*u - 14*u - 12*u - 19*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**7\/560 - k**6\/80 + 3*k**5\/80 - k**4\/16 + k**3\/16 - 10*k**2. Let y(o) = 0. What is o?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*g*v**2 - 38679*g*v - 1558*v**2 wrt v?\nAnswer: -28*g - 3116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r - 3*r**3)*(-2 + 1 - 6*r**2 + 3).\nAnswer: 18*r**5 - 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 6:31 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/16*1 + (-54)\/(-40).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -31\/6*a**3 + 0*a**5 + 0*a**2 + 0*a**4 + 0*a**6 - 5\/21*a**7 - 34*a + 0. What is the second derivative of g(s) wrt s?\nAnswer: -200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 260 and 2834.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 2*y + 2 - 6*y)*(-249 - 207 + 130)*(0 - 2 + 3).\nAnswer: 652*y - 652","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8\/55 + -38\/495. Let f = 42.2 + -40.226. Let b = f - 1.574. What is the biggest value in b, -1\/11, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 784066704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence raez when four letters picked without replacement from {v: 1, r: 1, e: 1, a: 1, z: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/66725 and 74\/93415.\nAnswer: 467075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.3 - -30.7. Let d = j - 45.11. Let s = d - 1. Which is smaller: s or 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -0.35, -0.1 in decreasing order.\nAnswer: -0.1, -1\/7, -0.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 14490 = -5*m, -1656 = 3*v - 2*m - 23413. Calculate the remainder when v is divided by 177.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39.4494 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 848027757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 43408736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**5\/60 - 5*s**3\/6 + 4*s**2. Suppose 10*w = 6*w + 8. Let a = -6 + w. Calculate j(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1028291 and -17.8.\nAnswer: 18303579.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 4, 3, -777, 20\/3, -259?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.29 and -17887465429.\nAnswer: -17887465427.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14464666 is divided by 222533?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2074*b + 37333. Calculate n(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112112 - 2?\nAnswer: 112110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a**2 - 2*a + 7. Let k(s) = 14*s**2 + 5*s - 20. Determine 4*k(b) + 11*n(b).\nAnswer: b**2 - 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*b**4 + 261*b**3 + 279*b**2 + 111*b + 9 = 0.\nAnswer: -1, -3\/28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(c\/c**(3\/4))\/c*c\/c**(-3)*c\/(c*c**(2\/13))*c*c*c\/(c*c\/(c\/c**(-2\/11)))*((c**(1\/4))**(3\/41))**(-35) assuming c is positive.\nAnswer: c**(33054\/5863)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 343 - 343.159. Let f = 27410.15837 + -27410. Let i = f + o. Round i to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 839064322 and 677?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3398500 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 2*c - 6*c**3 - 2*c**3 + 5*c**3 + 1 - 6*c**3. Let l be m(-1). Suppose 5*p + 26 + 2 = h, 0 = 3*p + l. Solve -w + h = x + w, -6 = -2*x + w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 4*d - 92, 5*q + 990 - 900 = 5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 11. Let g be p(8). Let r = 1968 - 1966. Solve 3*d - g = 3*y, 0 = -r*d - 3*d + 20 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97162, -386511, -868750, -1543873, -2411874, -3472747, -4726486, -6173085?\nAnswer: -7812538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(2\/17))**7\/(j\/j**(-1\/17))**(2\/23) assuming j is positive.\nAnswer: j**(5116\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 900680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15*4*(-8)\/(-96))\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 0.12 (c) 281\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**5 + 4*v**5 + 2*v**5 + (-2*v - 3*v + 6*v)*(2*v**3 - 2*v**3 - v**4) - v**5 + 2*v**5 + 0*v**5 - 215*v**3 + 5*v**5 + 433*v**3 - 138*v**3.\nAnswer: 7*v**5 + 80*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -371, -1503, -3393, -6041?\n\"Answer: -379*m**2 + 5*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55537, 55543, 55549?\nAnswer: 55555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-2) - (-12 - (-8564)\/56). Let y = v + 140. Which is the nearest to 1\/4? (a) -0.1 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 41. Let o = -31 - -43. What is the remainder when o is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*z = 66 + 69 + 81 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110\/130 + 4\/26.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 726 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or 11\/38770?\nAnswer: 11\/38770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * -8.2.\nAnswer: 0.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -13*w. Let b(a) = -24*a + 176. Let f(i) = -b(i) + 2*s(i). Let h(z) = 3*z. Determine f(h(g)).\nAnswer: -6*g - 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*d = -2. Let y be 0\/(-4)*d + 11. Calculate the highest common divisor of 77 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 264 + -138. Suppose -5*y = 4*x - 6*x - 579, y - j = -3*x. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(-1)*(0 + 1). Let h = m - -11. Solve h*y - 9 = 7 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1681 and 5234?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01366 to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1077961360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8088\/(-16)*(4 - (-14)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 10:45 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17320.971 - -17288. Let p = 6.901 - l. Let z = p + -40. What is z rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48464 is divided by 814.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -29706749 to the nearest 10000.\nAnswer: -29710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -275420805*x**5 - 7*x - 5379099.\nAnswer: -5508416100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 4*i**2 - 3*i - 12. Let m be t(7). Suppose 4*p = 2*b - 42, -p + 3*p + m = 4*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24724 is divided by 12075?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - p + 4. Let j be i(2). Does 26 divide (-3)\/((-6)\/262) - (-1 - j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -300.6654 + 77071.\nAnswer: 76770.3346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l, -10 = 15*q - 10*q - 2*l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17 and 47532.\nAnswer: 47532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3\/4 + 25*l**2 - 435*l\/4 - 135.\nAnswer: -5*(l - 12)*(l - 9)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v**2 - 147*v + 37. Let h be 2\/8 + ((-531)\/12 - -7). Let w be p(h). Solve -2*k - 13 + 15 = w for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/14 - -2\/7. Let m(f) be the second derivative of 3*f + 0 - c*f**2 + 1\/4*f**4 + 0*f**3. What is the derivative of m(z) wrt z?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -533*l - 538*l - 2*l**2 - 2 + 1620*l - 5*l**4 - 541*l in the form m*l**4 + u*l**3 + i*l + j + g*l**2 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -24. Let q be (-2 + 3)*(9 + h). Solve q*d + 3*a + 12 = 0, 0 = 4*a - 2 + 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*b = -180*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**4\/3 - 69892*o**3\/3 - 628894*o**2\/3 - 978236*o\/3 = 0?\nAnswer: -34937, -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3868 - 2755. Suppose -u - a + 61 = -d, u = 5*a + 1144. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -260 + 265. Let f be 4\/(-3)*3\/(-2). Suppose -n - f*n = u*k - 88, -36 = -n + 5*k. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 8.7. Put 1, b, 2\/15 in increasing order.\nAnswer: b, 2\/15, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1216) + 0)**2 + 0 - (5 + sqrt(1216)*-1 + -3).\nAnswer: 24*sqrt(19) + 1215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/2)\/(53\/(-106))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 1. Let m(c) = 4*c**2 + 2*c - 2. Let q(s) = -m(s) + 2*z(s). Let l = 8 + 19. Let w(n) = 53*n - l*n - 30*n. What is w(q(y))?\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25\/2 + -379\/30. Which is the third biggest value? (a) 0.7 (b) -4 (c) -2\/9 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 7*j - 13. Let f be d(6). Differentiate 7*t + f - 40 + 0*t - t with respect to t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 130507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4890060 to the power of 1\/2, to the nearest integer?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-6)\/(-9)*(-105)\/(-42).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 34*x - 14. Let p be (-47)\/2 + (-5)\/10. Let f be 6 - p\/18 - 1\/3. Does 25 divide t(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 87*q - 779. Let y be p(9). Sort 5, y, 0, -49 in decreasing order.\nAnswer: 5, y, 0, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/8 - -13\/40. Which is the smallest value? (a) -3 (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**2 + 15*i + 6. Let b be (-4*1*-1)\/(-9 + 8). Let f be n(b). Let x be (-3)\/((-5)\/f*-6). What is the second biggest value in 5, x, -12, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -1313567.\nAnswer: 262713.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 + h**2 - 7*h - 14. What is the remainder when 220 is divided by t(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -119*l. Let g(d) = 8*d**2. Determine p(g(z)).\nAnswer: -952*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -9*i**2 + 2*i + 1. Let d(o) = 3726*o**2 + 14*o + 7. Give 3*d(g) - 21*u(g).\nAnswer: 11367*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - u + 6. Let h be v(5). Let j = 8 - h. Is ((-8)\/j)\/((-2)\/2008) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one twentieth of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4*v**4 + 24*v**3 - 16*v**2 - 96*v = 0.\nAnswer: -6, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*f - 5*u, -2*f - 2*u + 3 = 3*u. Let r = 4 + f. Suppose 3*d - 30 = -r*x, -x - 2*x = -5*d - 30. Solve 0*n + 2*n + x = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2343 - 2343.0505. Round c to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8547 minus 0?\nAnswer: 8547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f + 1874. Is g(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6318589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -10 (b) 16\/9 (c) 1\/3 (d) -5 (e) 1\/6 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v - 69*v**3 + 8*v**2 - 5 - 7*v**2 + 65*v**3. Let f(u) = 7*u**3 - 3*u**2 + 3*u + 10. Let z(g) = 6*f(g) + 11*y(g). What is z(-4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213792563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 4*p - 8, p + 8 = -2905*r + 2903*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 254171 and 76641?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 23*f**2 - f - 22. Let c be y(-23). Let v be -268*(3\/6 + -2 + c). Let h = v - 104. Calculate the smallest common multiple of h and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -181, -179, -177, -175, -173?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 214.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -141*d**2 - 2*d. Let k(z) = z. Give k(l(n)).\nAnswer: -141*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*(22 + 201\/(-9))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**4 - 25829*t**3 + 50675*t wrt t?\nAnswer: -24*t**2 - 154974*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 5*s + 27720 = 27753, -3*s - 143 = 16*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**3\/3 - 23*y**2\/2 - 13*y - 2. Is 14 a factor of p(26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427*d + 34118 = 21*d + 73094 for d.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.602\nAnswer: 1.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -62070616.4 rounded to the nearest 1000000?\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/(-21))\/((-2)\/6). Suppose z*t - 8 = 3*p - 5*p, 0 = 5*t - 4*p - 29. Solve 4*a - 23 = 3*n, n - t - 9 = -3*a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 4:11 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -1\/42*z**7 - z**3 + 6*z**2 + 0 + 0*z + 0*z**4 + 0*z**5 + 0*z**6. Find the first derivative of b(g) wrt g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2212012100110220 + -2?\nAnswer: 2212012100110211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20\/13 - -25\/13. What is the common denominator of h and 140\/(-30)*(-3 + (-63)\/(-22))?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tctbectctcc. What is prob of sequence cet?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**3\/2 - 1845*m**2\/2 - 3794*m + 177504 = 0.\nAnswer: -16, 12, 1849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-45636.\nAnswer: 273816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12821424 divided by -388528\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 796571452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -47 - -7?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*p + a + 5, -5*a = 4*p + 4. Let j(t) = -108*t + 26. Let q(n) = -106*n + 33. Let w(o) = -4*j(o) + 3*q(o). Is w(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(128)*-6)**2 + -5 + 0 + sqrt(128) - ((-5*sqrt(128)*1)**2 - ((sqrt(128) + sqrt(128)*-2)*1)**2))*-4.\nAnswer: -6124 - 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1263 rounded to the nearest 10?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -4459, -6, -1 in decreasing order.\nAnswer: 4, 1, -1, -6, -4459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 893900.4 litres?\nAnswer: 893900400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-33604)\/140 - (3 - 52\/20). Let m = 240 + w. What is the second smallest value in 3, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 4 = -3*g + 55, 4*z - 104 = -3*g for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.8762 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d + d + d + (-2 - 2*d + 2)*(0 + 7 + 0).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2201735.9 and -29?\nAnswer: 2201764.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 + 0.3. Let n = -22 - -20.7. Let y = -0.3 - n. Put -4, l, y in increasing order.\nAnswer: -4, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2. Suppose 0*m = 2*m - 10. Let x = 9 - m. Let q(y) = -x + 4 + y. Give q(r(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r + r + 0*r - 6 + 4. Let d = -10 + 28. Let u = -20 + d. Give i(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11193078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 836 - n + 682 + 603 + 813 + 558 - 3076.\nAnswer: -n + 416","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 - 0.2. Let u = -811\/5 + 809\/5. Let y be (-34)\/30 - -1*1. Which is the second smallest value? (a) j (b) y (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*o - 5 = 0, 4*s - 15*o = -12*o - 29. Sort 4, 0, s, -1 in ascending order.\nAnswer: s, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j**3 + 3*j**2 - 4. Let c(s) = 11*s**3 - 7*s**2 + 9. Let p = -21 + 25. Determine p*c(d) + 9*t(d).\nAnswer: -d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*(-1 + (-85)\/(-45))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2655192222.\nAnswer: 2, 3, 31, 59, 80651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 8. Let a(g) = 41*g + 17. Let c be a(-2). Let y be ((-12)\/(-39))\/((-10)\/c). Solve m = -y - j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44036.6 + -44036.6900015. Let l = t - -0.09. Round l to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8\/(-14) - ((-8870)\/14 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/d**(1\/7)))*((d*d**(-4))\/d)\/d)\/(d*((d*d**(1\/30)\/d)\/d*d)\/d*d\/d**(3\/2)) assuming d is positive.\nAnswer: d**(-386\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 434*i + 6 + 2 + 2*i**2 + 0 - 51*i as y + q*i**2 + x*i and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23220 divided by 2322.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, 25, 365, 1029, 2125, 3761, 6045?\nAnswer: 9085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3416.42378 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -8*p. Let u(h) be the third derivative of 0*h**5 + 0 + 0*h**6 - 1\/504*h**8 + p*h**4 - 1\/315*h**7 - h**2 + 0*h + 0*h**3. Factor u(w).\nAnswer: -2*w**4*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111022122021 + 122?\nAnswer: 111022122220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h**3 + 11*h**2 + 24*h + 1. Let x(w) = -w**3 + 2*w**2 + 5*w. Determine 2*g(r) - 11*x(r).\nAnswer: r**3 - 7*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 92*t - 90. Let b(y) = -187*y + 179. Let j(k) = 3*b(k) + 7*v(k). What is the derivative of j(f) wrt f?\nAnswer: 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-3.6097.\nAnswer: -1.08291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a factor of 4283490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 48018095 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-10))\/((-9)\/60). Let s be (-4)\/3*r\/(-8). Factor i**2 + 0 - 2 - 32*i**3 - 17*i**s + 14*i.\nAnswer: -2*(i + 1)*(4*i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x. Let o(b) = 723*b**2 - 20*b - 10. Let c(h) = 731676*h**2 - 20244*h - 10122. Let u(m) = -5*c(m) + 5061*o(m). Determine l(u(d)).\nAnswer: -1446*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 664268911?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 936 = -7935. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (186\/(-155))\/(1\/5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-10)\/(-15) - 1. Let z be (-9341)\/u - (-18)\/54. Suppose 0 = -5*p - 3*h - 502 + z, 0 = -2*p + 4*h + 1050. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**6\/15 + z**4\/4 - 2*z + 1. Let s(y) be the first derivative of q(y). Find the third derivative of s(m) wrt m.\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/27)\/x**(4\/7))**(-19)*(x**11\/x**(2\/23))**(11\/3) assuming x is positive.\nAnswer: x**(215021\/4347)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426 is divided by 138.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnsnsssnnsss. What is prob of sequence snn?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 3*w**2\/2 - w - 2. Let n be c(1). Factor 6\/5*k**4 + 0 - 6\/5*k**3 - 2\/5*k**5 + 0*k + 2\/5*k**n.\nAnswer: -2*k**2*(k - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2854, 2860, 2866, 2872, 2878, 2884?\n\"Answer: 6*d + 2848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514023446.\nAnswer: 2, 257011723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3780, 3782, 3784, 3786, 3788?\n\"Answer: 2*r + 3778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/4 - -3*260\/(-70)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94.105 - 94. Let b = -0.895 - w. What is the closest to -5 in -1\/5, 1\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*g, 2*n - 12 = -2*n. Suppose -3*z - g*p = -z + 8, 2*p = -4*z. What is the first derivative of v**4 - 3 + z*v**4 + 8 wrt v?\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -267, -1037, -2321, -4119, -6431?\n\"Answer: -257*y**2 + y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 11 - (8 - -2) - (-475 - 2). Which is bigger: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(15\/(-6))\/((-10)\/28*1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 5*m**2 - 2*m - 1. Let g be u(4). Suppose -105 = 4*s + g. Let p be (s\/3)\/(3\/(-36)). What is the greatest common factor of 14 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23789128, -47578259, -71367390, -95156521, -118945652?\nAnswer: -142734783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 294 + -90. Let q = l - 202. Let o be (27\/(-24))\/((-3)\/(-4)). What is the second biggest value in 3, q, o, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -11*f + 9*f. Suppose f = -10*i - 26. Let d be i + 0\/3 + 19. Calculate the greatest common factor of d and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 1.3, -0.5, 55, -1 in increasing order.\nAnswer: -1, -3\/4, -0.5, 1.3, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = i + 3*h, -3*h + h = -2*i + 4. Let u = 4 - i. Let s(z) = 2*z**2 - 3*z - 1. What is the units digit of s(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w - 3*w + 3*w**3 + (-4 + 1 + 2)*(2*w**3 - 5*w**3 + 4*w**3) + (-2*w**2 + 6*w**2 + 4*w**2)*(w + 0*w + w) to a + v*w**2 + c*w**3 + z*w and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**3 - 36*p**2 - 791*p + 14262. Determine d(18).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 + 38. Let p be 1\/(3\/9*(-9)\/(-15)). Suppose 0 = 4*w - p*w + 12. Calculate the remainder when g is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 34\/4*(-16)\/4. Is 0 - r - 1\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 11*p**2 - p + 14935. Let f(j) = 4*j. Give o(f(t)).\nAnswer: 176*t**2 - 4*t + 14935","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 37*f**2 - 34*f + 72. Suppose -3*d = 5 - 17, 6*w - 4*d + 232 = 0. Let i be b(w). Find y, given that i*y + 1\/4*y**4 + 4 + 0*y**3 - 2*y**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35961866, -35961864, -35961862, -35961860?\nAnswer: -35961858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 3. Let h be d(0). Suppose -7*j + h*j + 20 = 0. Solve -3*t + 2*n + n = -9, 2*n - 15 = -j*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -2 + (544 - 1) + -6. Let d = y + -458. What is the highest common factor of d and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/21 - 105525\/(-18). Let q = -5848 + u. Let m = 10079 + -312494\/31. Calculate the common denominator of q and m.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x. Calculate i(-10).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 330 and 240.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -717, -741, -761, -777?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) -1387 (c) -2.5 (d) -1 (e) -0.4 (f) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 2*x + 19. Let q be y(0). Suppose q + 68 = 3*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 2 - 54\/(-42)) + -1. Suppose -21*l = -12*l - 27. What is the smallest value in m, 10, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 19*b + 10. Let s be c(-3). Let j = s - -44. Is 5 a factor of (-204)\/(-15)*j\/(12\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -11, 723 in ascending order.\nAnswer: -11, -4, 723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -2. What is the remainder when 83 is divided by 4*(12\/j + (-214)\/(-56))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -1107068.\nAnswer: 1107068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 minus -0.2366?\nAnswer: -219.7634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(130))\/sqrt(10) - (2 + sqrt(13) + -1 - sqrt(13)) - ((sqrt(325) + -1)**2 + (3*(sqrt(13) + 1))**2).\nAnswer: -453 - 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 + 235*u**2 + 43*u - 8647. Calculate v(-117).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 1)*(k**3 + 3*k**2 - 3*k**2) + k - k - k**3 to v + t*k**3 + o*k**2 + m*k and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 7*j + 4. Let i be n(7). Suppose -4*h + 32 = 5*r, -i*r - 7 = -23. Suppose -4*v + 0 = h*o - 5, -o = -3. Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -305 - -304.7. Sort -0.2, z, -13.\nAnswer: -13, z, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 43752922398503\nAnswer: 43752922398520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/21 in -3, -546, -1\/35?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(((-36)\/(-8))\/3). Let w be 1*(-1 + (c - -3)). Suppose -4*v + q + 98 = 0, 5*q - 110 = -w*v - 5*v. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -223 + 215 - ((2 - 0) + -1 + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -444, -912, -1452, -2094, -2868, -3804, -4932?\n\"Answer: -5*o**3 - 6*o**2 - 415*o - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, 0, 3, 2, -2 in increasing order.\nAnswer: -2, 0, 2, 3, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 11. Suppose -k + 6*k - 10 = c. Suppose -k*a - 2*j = j - 32, 5*j = 5*a - 30. Calculate the remainder when a is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d. Let z(h) = h**2 + 20*h + 1. Let s(m) = -11*q(m) + 2*z(m). Let f be s(2). Suppose f*u = u + 4*t + 28, 13 = u - t. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l + 1. Let t(d) = 8*d - 5. Let k(i) = -i**2 + 8*i - 7. Let p be k(6). Let g = 2 - p. Let r be (1 + -4)\/g*6. Give r*j(n) + t(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-420)\/32)\/3 + 4\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 - o - 1. Let h be s(3). Let y = 23.61 - 27.61. Which is the nearest to 2? (a) 1\/3 (b) h (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -21. What is the closest to 1 in -4, h, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*z + 305*z + 256*z - 6162 = 698*z for z.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/3 + 31756*p**2\/3 - 95261*p\/3 + 63506\/3.\nAnswer: -(p - 31753)*(p - 2)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 1\/4*k**4 + 2*k + 0*k**2 + 0 + 1\/20*k**5 + 0*k**3. Find the third derivative of v(m) wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 7*p = -2*d + 19, 3*d = -3*p + 24. Suppose -5*m + d*o = 15, 3*o - 4 = 2*m + 6. Let w be ((-170)\/4)\/(m\/(-80)). Round w to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b - 157*b**3 + 4*b - 16*b.\nAnswer: -157*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*q - 532, q + 5*t = 2*t + 133. Is q a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139074, 556295, 1251662, 2225175, 3476834?\nAnswer: 5006639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-8)*2\/3*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 12:14 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w - 6*w + 4 - w**2 + 10 - 10*w. Let j be u(-12). Factor 0*x**j + 0*x - 2\/11*x**3 + 0.\nAnswer: -2*x**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -80*q + 90. Let p be -3 + 2 + -9*1. Calculate the lowest common multiple of 4\/p + 42\/30 and z(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -388.86 - -0.2?\nAnswer: -388.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -294915, -591619, -888323, -1185027?\n\"Answer: -296704*l + 1789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k - 184 + 6*k - 3*k + 2*k to the form v*k + c and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**3 - 24*i**2 - 4*i + 24. Let t be q(6). Put 5, -1, t in ascending order.\nAnswer: -1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8 - 3 - 3) + 1 + 0. Solve -3 = u*a, -2*p - 3 + 2 = 3*a for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1217354 (base 11) to base 4.\nAnswer: -20011012123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*t**2 - 51*t**2 - 7466*t + 7466*t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + z**2 - 2*z + 12. Let j be c(0). Let u be (7 - 3 - (-21)\/(-6))*j. Factor -96*h**2 + u + 9*h + 99*h**2 + 0*h.\nAnswer: 3*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 94*t**3*x - 902*t**3 + 14*t**2*x - 2*t**2 - 7*t*x - 6 wrt x.\nAnswer: 94*t**3 + 14*t**2 - 7*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**2 + 2*l + 2. Let v(n) = -16*n**2 - 33*n - 53. Let h(i) = -120*i**2 - 231*i - 366. Let u(c) = 4*h(c) - 27*v(c). Calculate 2*u(p) + 33*z(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + -103?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92955?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, -6, 2, 1.\nAnswer: -8, -6, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -68.1*-77\nAnswer: 5243.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - 103?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 12*s**5\/5 + 5343*s**4\/5 + 6663*s**3\/5 + 1332*s**2\/5 = 0.\nAnswer: -444, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/9*(-5)\/4. Let k = -15.6 - -16. What is the third biggest value in -3, k, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a436 - 2?\nAnswer: 1a434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10260528 and 8688?\nAnswer: 10260528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73*f + 57*f + 25*f)*(10 - 10 - 3*f).\nAnswer: -465*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -15, 44, 5 in descending order.\nAnswer: 44, 5, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4 + 250*i**3 + 4430*i**2 + 11510*i + 7332 = 0. What is i?\nAnswer: -13, -2, -1, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469586 is divided by 66726?\nAnswer: 2504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -521*p**2 - 2*p**3 - 633*p**2 - 854*p**2.\nAnswer: -2*p**3 - 2008*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4004 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/6 and 55\/2716?\nAnswer: 8148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3*o - 13, -2*o = 4*t - 0*t - 12. Which is the closest to -1? (a) -3\/4 (b) t (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 4. Let a = 1.7 + b. What is the closest to -1\/2 in -2\/9, a, -2\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/3 + 6692308*a + 16795119887574.\nAnswer: 2*(a + 5019231)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-2*sqrt(605) + sqrt(605))*-2)**2*5 - (4*(sqrt(5) - (sqrt(25)\/sqrt(5) + sqrt(5))**2) + (sqrt(55) - sqrt(220)\/sqrt(4))\/sqrt(11) + 0).\nAnswer: -4*sqrt(5) + 12175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2304 + 3063*k + 2311 - 4615 + 6678*k in the form b*k + y and give b.\nAnswer: 9741","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2. Suppose 3*b = -3*b + 18. Let l(s) = -4 - b + 7 + 10*s**2. What is l(g(r))?\nAnswer: 10*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*w = -15 - 3, 2*q + 2*w - 18 = 0. Let u(i) = -13 + q + 6 + i. Calculate u(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1290463 and 2.\nAnswer: 1290465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 34. Let j be (-2 - 5 - -1) + 0. Let f = j + 7. Put -3\/4, f, m in descending order.\nAnswer: m, f, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*h - 69 + 5 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 5*x + 5*x)*(-2 + 5 - 2)*(0 - 3 + 8).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -3*d**5 - 89*d**4\/4 + d**2\/2 - 5768*d - 6825. Differentiate n(u) with respect to u.\nAnswer: -60*u**3 - 267*u**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3352 - -3354. Solve 26*o - 24 = c*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*v - 9960 = 364*v for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171, 156, 137, 120, 111, 116, 141, 192?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61353 divided by 11047.\nAnswer: 61353\/11047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -1 + 532\/14. Solve -20 = 5*v + 2*t - m, -4*v + 20 = 4*t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1578017465 to the nearest integer?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7768.089 kilograms to micrograms.\nAnswer: 7768089000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbrbrbbbssbssy. Give prob of picking 1 s and 2 b.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6046*b**2 + 1664*b wrt b.\nAnswer: -12092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -28*k**3 - 2*k**2 - k + 1. Give p(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -7\/4*h**3 + 0 - 27\/4*h**2 + 1\/4*h**5 - 9\/2*h + 3\/4*h**4 = 0?\nAnswer: -3, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 8*u = 0. Suppose -1207 = -3*p - 2*h, u*p - 4*p + 4*h = -1596. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4*2\/(-4) - 0\/(-31).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 4\/7, -1186\/17.\nAnswer: -1186\/17, -0.5, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 6:45 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/((-5)\/3 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 - 0.6. Let m = -0.2 + h. Let p = -1.1 + 7.1. Is p at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110104221 (base 6) in base 10?\nAnswer: -1968277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 - 16067?\nAnswer: -16066.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23967*b**3 - 5086*b**3 + 17566*b**3.\nAnswer: 36447*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/(-10))\/(-5)*(-16)\/3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 379 - 205. Suppose -3*t = a - u, -3*a = 2*t - 5*t - 474. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x + 72. Let p be f(0). Suppose -1974 + 11 = -13*d. Let h = d - p. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100 + -10. Let j be d*(-102000)\/(6 + -4). What is j rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10154313 + 41?\nAnswer: 10154354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*k + 24*k + 18048 = 0. Is 47 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z**2 + 3*z**5 - 9*z**3 - 7*z - 163*z**4 + 169*z**4 + 19*z = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-124)\/(-10) + (-2)\/5. Suppose x*g = 13*g. Suppose 0 = 5*c - 2*o - 360 + 63, g = c - 4*o - 63. List the prime factors of c.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 728 and 29624?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4098*h - 2047*h - 2050*h. Suppose -3*l - 1 = 3*i + 2*i, -i = 3*l - 7. Let x(n) = l*n - 3*n + 7*n. Calculate g(x(u)).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 divided by -7927.\nAnswer: -83\/7927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3563, -7121, -10655, -14153, -17603, -20993, -24311?\n\"Answer: 2*z**3 - 3572*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/((432\/36)\/(-84)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 35 = 7*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52842 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w - 2*w**2 - 452 + 227 + 227. Calculate m(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -7 + 3 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280892 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 6574 = 2402. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w**2 + 1190*w - 10*w**2 - 1190*w + 7*w**2. Let j(m) = -12497*m**2. Calculate b(j(a)).\nAnswer: 156175009*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 3. Let o be c(4). Suppose p - 1 = 3*g + o, -3*p + 2*g + 6 = 0. Suppose -19 = -3*f - p*z, -36 + 10 = -4*f - 2*z. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2743 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f - 1. Let v be n(7). What is the common denominator of v\/(-99)*(-183)\/(-4) and 75\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*v + 0*l + 168 = -4*l, -173*l = -176*l - 48 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and 6749.\nAnswer: -202.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2612*b**2 - 11*b + 4. Let c be q(12). Round c to the nearest ten thousand.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 197527 by 6.\nAnswer: 197527\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.51 - 571.3809?\nAnswer: -535.8709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*i + 127*i + 39*i)*(1 - 3 + 1) + (-1 + 1 - 2*i + (-2*i + 0*i + 0*i)*(1 - 5 + 6) + 2*i - 4 + 4 - 4*i + i + i + 0*i + 2*i + 0*i)*(-3 - 3 + 1).\nAnswer: -93*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.45 + -3063.\nAnswer: -3063.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 5, 42, 8, -47.\nAnswer: -47, 3, 4, 5, 8, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.86 - -0.06. Let i = a - 1.2. Let t = -25.43 + 25.93. Sort i, t, 1\/4 in decreasing order.\nAnswer: t, 1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3336431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q\/(q**(12\/5)*q))\/q))\/(q*q*q\/((q*q**(-1\/9)*q)\/q*q)))\/((q\/(q\/((q\/(q\/((q*q**1)\/q)))\/q)*q*q))\/(q*q**(-16)*q)) assuming q is positive.\nAnswer: q**(-392\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -369?\nAnswer: 110.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -4 (c) -2\/13 (d) 0.001 (e) 4 (f) 283\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 16*q**2 - 23*q - 117. Let l be v(-15). Suppose -4*p + 7 = 4*m - 5, 5*m + l*p - 11 = 0. Sort 5\/6, m, -5, -2\/7 in increasing order.\nAnswer: -5, -2\/7, 5\/6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295 + 2*q**2 + 3*q - 3*q + 234.\nAnswer: 2*q**2 - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 22 - 7. Let n = 28 - 18. Solve a + h = n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2647 + 4?\nAnswer: -2643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297*r - 50*r - 240*r - 61*r**2.\nAnswer: -61*r**2 - 587*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -679 (base 16) in base 10?\nAnswer: -1657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*j = 3*i - 20, 5*j + 20 = 0. Suppose i - 6\/5*o**2 - 8\/5*o**3 + 2\/5*o = 0. Calculate o.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1446701, -2893400, -4340091, -5786774, -7233449, -8680116?\n\"Answer: 4*w**2 - 1446711*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1210 divided by -12\nAnswer: 605\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 7*x + 6. Let d be i(-6). Let b be 3\/d - (-1)\/(-4). Suppose b*z = z - 3. Solve -z*j = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4895, -9789, -14683, -19577?\nAnswer: -24471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3 + 1104*o**2 + 79558*o + 78456 = 0. What is o?\nAnswer: -467, -84, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9761.921 rounded to the nearest one hundred?\nAnswer: 9800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of 0 + 42*w - 1\/15*w**4 - 128\/5*w**2 + 32\/15*w**3. What is b in h(b) = 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.99 + -0.01. Suppose 41787*w + 108 = 41841*w. Put 1\/3, j, w in descending order.\nAnswer: w, 1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 5*v**2 - v + 7. Let l be p(5). Let x(g) = -3*g + 51. Let r be x(16). Suppose -m**4 + 6*m**3 - r*m**l - m**4 - m**4 = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14 or -2173?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1527 is divided by 103?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -13, 18, -2 in ascending order.\nAnswer: -13, -5, -3, -2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-16))\/(12\/32). Suppose -3*q + 11 = 4*s, 3 = p*q + 2*s - 5. Suppose -q*l + 8*l = 285. List the prime factors of l.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*o + 216 = -150. Let p(l) be the third derivative of l**6\/120 - l**5\/10 + l**4\/8 + l**3\/6 - 3*l**2 + 5. Calculate p(o).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + -1 - (-1488)\/36. Let y = b + -647\/15. Suppose 4\/5*i**2 - 2*i**4 + y*i**3 + 0*i + 0 = 0. What is i?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**6\/600 - f**5\/300 + f**4\/120 + f**3\/30 - 5*f**2 - 5. Let c(o) = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 11*i**2 - i - 8. Suppose 0 = 9*k + 65 + 34. Let m be w(k). Solve 0 = -m*a + z - 1, -11 = -3*a - 2*z - 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1616 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -2. Let d = 387 - 8125\/21. Which is the closest to t? (a) -1 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11751 or 11747?\nAnswer: 11747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 222679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/33 - (-16)\/6. Suppose -3*a = -3*x - 6*a - f, 3*a = -x - 1. What is the smallest value in 1\/13, x, 2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3. Let y = 9 + 5. Let x = p + y. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 6*u**2 - 3*u - 3. Let c(v) = -v**3 + 34*v**2 - 15*v + 513. Let x be c(34). Determine i(x).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-1) - (2190\/(-120) + 24). What is the closest to -6 in 5, x, 14, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 + 3*j - 3*j + (-7*j - 3*j - 2 + 7*j)*(-j**2 + 2 - 2).\nAnswer: 2*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*z - 4*z. Calculate the common denominator of 151\/18 and 87\/36 + -1 + z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 1:26 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 338\/(-65))*(171\/(-19) - 406).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 60424.95 millennia?\nAnswer: 604249.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 6*o + 8. Let i be x(-6). Suppose -i = -4*h + 3*h. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y + 5*n = 101, 4*y + 2*n - 6 = 28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*s = -15, 0*x = 4*x - 3*s - 21. Suppose x*v - 76 + 22 = 0. Suppose v = 5*b - w + 5*w, 0 = 5*b - w - 8. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s + 17*s = -522. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-264)\/(-18))\/(2\/(-6)). Let v be ((-10)\/(-8))\/((-11)\/p). Suppose -6*x + 4 = -v*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -80*v + 72. Let w(b) = b - 1. What is 4*i(y) + 288*w(y)?\nAnswer: -32*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -532558850 to the nearest one million.\nAnswer: -533000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7 + -3 + 2 + 11. Find the second derivative of b**5 + 45*b**2 - 15*b**2 + c*b**5 + 148*b wrt b.\nAnswer: 80*b**3 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -2 - 1 - (4 - 6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 20878 and -195?\nAnswer: 21073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 5*f = -32, -x - f + 0 = 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**8\/112 + n**7\/35 - n**5\/10 + n**4\/8 - 3*n**2. Factor o(s).\nAnswer: -3*s*(s - 1)**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/9)\/(8\/(-12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18565 divided by -1?\nAnswer: -18565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1923104 + 3959917. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (6 - 13)) + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -713*d**6\/60 + 349*d**5\/60 - d**3\/2 - 4*d**2 - 42*d. Find the third derivative of o(r) wrt r.\nAnswer: -8556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -26*k**3 + 4*k**2 + 11*k + 5. List the prime factors of y(-4).\nAnswer: 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v - v**3 + 4*v + 10*v**3 - v**2 - 2. Let s(p) = p**2 + 28*p - 28. Let f be s(-29). What is the units digit of a(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2084 is divided by 192?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - w + 1. Let z(b) = 4*b**2 + 5*b - 11. Let p(h) = -6*o(h) - z(h). Find the second derivative of p(m) wrt m.\nAnswer: 36*m - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 12. Let f be r(-7). Suppose 0 = 5*g - 0*g - f. Let q = -0.011 - -0.041. What is the second smallest value in g, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 11*h**2 - 13*h - 34. Let k be u(-10). Let a = -25 - -28. Let y be (k - 1)*(-3)\/a. Solve -2*d + y = -7*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*n**3 + 44507318*n - 44507318*n.\nAnswer: -35*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence icni when four letters picked without replacement from kiylinlikcny?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**2 + 14*g - 3. Let x be y(-5). Suppose n - 2*r = -4*n, n = -x*r. Solve -5 + n = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 42181, 84411, 126641, 168871?\n\"Answer: 42230*t - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.89 + -0.11. Let n = l + 15. Put 5, -4, n in ascending order.\nAnswer: -4, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 6, -2*v - 423 = -4*s - 133. What is the remainder when s is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -8*r + 71. Let s be f(-2). Let k be 2 - 1 - 0 - (-348)\/s. Let j(n) = -n + 1. Give j(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 397307\/356 or 1116?\nAnswer: 1116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**4 - 8 - t**2 + 15030*t**3 - 15031*t**3 + 0*t**2 - 2*t**4 + 7*t in the form p*t**3 + r*t**4 + v*t + s + c*t**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 130 + -186. Let h = v + 89. Calculate the highest common divisor of h and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.36 - -2.76. What is the biggest value in -2, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31503 - -56581. What are the prime factors of l?\nAnswer: 2, 12539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49836?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 82 = -2*q. Let b = -38 + q. Suppose 84*h - 79*h - 640 = b. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -207149 - 0.1640518.\nAnswer: -207149.1640518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 6*g + 10. Let w be s(-8). Let a = -6 - w. Suppose 6 = -0*l + 2*l. Solve a = -6*q + l*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-13))\/((-178)\/(-3471)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d = 5*d + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4862.6886 rounded to 0 decimal places?\nAnswer: 4863","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22272 and 10464?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k + 5*s = 8*k + 10, 5*k = -3*s - 16 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 13. Let f be r(-18). Suppose 0 = f*z + x - 30, 7 = 5*z - x - 13. Suppose -4*l + 20 = 0, 6*t - z*l = 3*t - 61. Which is smaller: -13 or t?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 119\/65116 or 0?\nAnswer: 119\/65116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j. Let f(z) = z - 771. Determine f(t(m)).\nAnswer: -2*m - 771","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/2)\/((7\/(-103838))\/1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*c - 3362*c = -114716 - 16348 for c.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**3 + 9039*p**2 + 5154816*p + 10273500 = 0. Calculate p.\nAnswer: -2250, -761, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + r = -23199999, -2*o + 57999996 = 3*o - 4*r. Suppose -3*s = s - o. Let c be 1 + -3 + 2 - s. What is c rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 0 + 2 - -6 - -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*j - 264 + 1512 - 192. Suppose 6*y = 3*y + 525. Calculate the remainder when y is divided by j.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3 times -0.037?\nAnswer: -0.1221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -896 = 160*m - 48*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 56*g - 332. Suppose 3*n - 6*n = -57. What is the remainder when n is divided by l(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -364?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -289*q**5 + 120*q**5 - 144*q**5 - 2*q**2 + 2*q**5 + 2*q**2 + (-3*q**4 + 5*q**4 - 4*q**4)*(2*q - 1 + 1) + 2*q**2 + 2*q**5 - 2*q**2.\nAnswer: -313*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 56 = -8*x. Let h(u) = u**2 - 5*u + 1. Let y be h(x). Which is greater: y or 24?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3320312.5 - 0.01?\nAnswer: -3320312.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15791.\nAnswer: 15791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*w + 9, b + 5 = 2. Let g be -3*w\/(-24)*-10. Let m(u) = -u**3 + 6*u**2 - 3*u + 3. Let o be m(g). Solve -2*r - o = -2*n - 3*n, 3*r = n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764805 is divided by 38229.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**4\/12 + c**3 + 2*c**2 + 5*c. Determine f(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209659469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 5:53 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12647319 to the nearest integer?\nAnswer: 3556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 9 - 2*v**3 - 43 + 16*v - 4*v**3.\nAnswer: -6*v**3 + 16*v - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1097 - 56. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 80\/14 + 4\/14. Let o be (231\/18)\/7 - 25\/(-150). What is the third derivative of 3*b**l + 0*b**6 + 2*b**o + 2*b**2 wrt b?\nAnswer: 360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 27, -4, 4, -0.4, 2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a century in decades?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-eight fifths of a gram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5448 - -0.1462. Let t = -0.7 + c. Let d = 0.01 - t. What is d rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 222738784 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 - -64. What is the smallest common multiple of (-3)\/2*16\/(-2) and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, e: 3, c: 2, r: 10}. Give prob of sequence cr.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 5, d: 2, n: 2}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9699312799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwewwe. What is prob of sequence www?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 5*o = -20, 61*o - 8 = 4*t + 59*o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d**4 - 17*d**3 + 64*d**2 - 6*d - 78. Let b(p) = -7*p**4 - 17*p**3 + 66*p**2 - 7*p - 77. Let m(a) = 2*b(a) - 3*l(a). Find h such that m(h) = 0.\nAnswer: -20, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 282301 and -5.\nAnswer: 282296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**2 - 601 + 1200 - 599.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -0.5, 471\/7, 94?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4199 and 3653351.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2530?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 61. Let f = 41011 - 41051.0066. Let g = f - u. Round g to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58791833*k*y**5 - 2*k*y**2 - 8340551*y**2 wrt y?\nAnswer: -3527509980*k*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 0*u**4 + 1\/120*u**5 - 1\/360*u**6 - 2*u + 0*u**2 - 1\/3*u**3 + 0. Let g(d) be the second derivative of k(d). What is g(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 25*o**2 + 54*o + 6. Let p be w(-27). Let r be (2\/(-108))\/((-6 - -4)\/p). Which is greater: 2 or r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 433 + 206*s**2 + 202*s**2 + 202*s**2 - 812*s**2 + 204*s**2. Let n(u) = -4*u**2. Determine b(n(m)).\nAnswer: 32*m**4 + 433","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-236)\/(-767))\/(4\/(12 + -4))*(-4)\/(-24)?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 98.31 + -93.31. Let t = -2.1 - 8.9. Let i = 8 + t. Sort i, 0.1, r in descending order.\nAnswer: r, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -315 - -706. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3020 and 3560.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 54 = -24*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 282959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u + 0*u - 2*u - u - u + 4*u + (-2 + 2 - 1)*(-3 + 3 - u) to the form q + g*u and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*r = -7*r - 24472. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + x + 2*x)*(-44*x - 16*x - 12*x - 192*x) to a*x + z + g*x**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-5)*(-510)\/24. Let o = l - -9. What is the closest to 0.1 in 1\/4, o, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w - 1. Let i be z(-1). Suppose -2*k - 8 = 0, -4*k + i = c + 14. Suppose -c*d = -7*d + 20. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 107, 98, 81, 50, -1, -78?\n\"Answer: -w**3 + 2*w**2 - 8*w + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 769599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/4, 2.005, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**(2\/49)*((v**1\/v)\/v*v)**(-4) assuming v is positive.\nAnswer: v**(-2\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 287.5948 litres in millilitres?\nAnswer: 287594.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 17*k + 6. What is t(-6)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8*g**2 - 2*g**2 - 2*g**2 + 11*g**2 - 7 + 12*g. Let v be l(11). Solve -18 = v*u + 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 51*y - 148. Give h(-55).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2498071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 + -332 + 14 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1450482 by 21977.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 4. Let h(k) = k**3 - 7*k**2 + 6*k - 3. Let b be h(q). Let j = b - -4. Which is smaller: 10 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kvlvlkvlhffffklhfqkk. What is prob of sequence vkkh?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -32d + 2?\nAnswer: -32b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 12, 9, -301, 2 in descending order.\nAnswer: 12, 9, 3, 2, -301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -37.38027 bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3451*q - 493*q + 1991*q - 1008*q + 240401 for q.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 195809359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*t + 100*t + 5*t**2.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*10\/(-760)*2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 473*u + 49442. Determine s(-156).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/6)\/(8\/12). Which is the third biggest value? (a) -0.4 (b) x (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-21) + (-115)\/35. Let h be 5 + -5 - w\/(-3). Let i(g) = g + 1. Let p(u) = -7*u - 5. Let f(q) = 6*i(q) + p(q). Determine f(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of b**5\/140 + b**4\/42 - b**3\/14 + 38*b + 166. Let n(a) be the first derivative of t(a). Suppose n(w) = 0. What is w?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/5437 - -21713\/38059. Which is the smallest value? (a) 0.169 (b) 1.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/84*-4)\/1.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h + 11. Let v = 12 - 18. Let p(w) = w + 6. Let z(j) = v*o(j) + 11*p(j). Let n(c) be the third derivative of -c**5\/20 + 2*c**2. Give z(n(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -954187\/88 - -10843. Put -0.2, -0.1, 34, i in descending order.\nAnswer: 34, i, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 8*r + 2. Let g be s(-8). Which is the second smallest value? (a) 4 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52040 - -468358\/9. Let z = 8.1 - 0.1. What is the nearest to 1 in f, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2.38 (b) -213971 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*a**6*z - a**6 + 5968*a**3 + 18663*a**2 - 165*a*z wrt a.\nAnswer: 1440*a**3*z - 120*a**3 + 35808","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 12*d**2 + 12*d - 13. Let j be n(-13). Which is bigger: j or 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89413849003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 217570 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 55450419059 plus 50?\nAnswer: 55450419109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -22. Let h = -5 + l. Solve -h*z - 22 = -6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 3)*(0*t**4 + 57*t**4 + 18*t**4) to i*t**3 + n + h*t**4 + o*t**2 + x*t and give h.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 + 48. Calculate the greatest common factor of 5 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4 + 170*g**3 - 169*g**3 + 3*g**2 - 3 + 6 - 9*g - 2 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2618 - 802. List the prime factors of -5 - y\/(-24) - 4\/6.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**6\/120 - b**4\/12 + b**3\/6 - 2*b**2. Calculate d(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005851981 rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 283*f**2*i**3*m - 74662*f**2*i**2*m + f*i**3*m - 136*f*i - 2*i**3 + i**2*m - 31*i**2 + 2*i wrt f.\nAnswer: 566*i**3*m - 149324*i**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 45*d**2 + 148*d + 402. What is z(41)?\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5 - 1.8. Which is the nearest to 0.1? (a) p (b) -3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*c = -287, -8*d + 7*d + c = -59. Calculate the greatest common factor of d and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 134533282 to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5693152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((45\/126)\/((-55)\/(-77)))\/(((-12)\/(-56))\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 1660 = -3*l - 1220, 6*l + 480 = 6*o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (1 + (-1 - (-6 + -15)) - 20)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-1260.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7\/2 of a microsecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c + 2*c)*(-1 + 6 + 0)*(-7 + 1 - 3)*(-1 + 2 - 2).\nAnswer: 90*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(76) + -2 + sqrt(1539))**2 + (-1*4*sqrt(19))**2*3.\nAnswer: -44*sqrt(19) + 3215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 916, 3725, 8428, 15031, 23540, 33961?\nAnswer: 46300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 11:31 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/(130\/(-24))*30. Let p = 72 + d. Suppose p*w + 7*w - 322 = 0. What are the prime factors of w?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292755 + 0.2?\nAnswer: 292755.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*x + 418 = -33*x. Let y(s) = 7*s - 5. Let l be y(5). Solve -3*o + 8 = -3*d - x, 2*o = 4*d + l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3 + (1 + 0 + 1)*(-2 + 3 + 1))*(33 - 33 + 5*v)*(3 - 1 - 1).\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*x + 10. Let a(w) = -2*w**x + 0*w**2 + w**2. Let j(c) = -3*c. What is j(a(l))?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 52, 59, 46, 7?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/3232 and 27\/6464.\nAnswer: 6464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.755 + -4.678. Round q to 1 dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34372 is divided by 111?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -543372 - 1256628. What is m rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -3. Let b(w) = 0*w - w - i*w + 0*w. Let p(o) = o**2. Determine b(p(s)).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 762358576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 9 = 2*z + 6*g, 0 = -2*z + g + 5. Suppose 2*m + z*q - 53 - 32 = 0, q + 1 = 0. What is the highest common factor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 10*n. Let g be i(0). Solve 28 + g = -28*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3180 and 2902280?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 5*s + 38. Calculate the remainder when 17 is divided by x(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 209128 and 64?\nAnswer: 1673024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6264\/4617 - 4\/(-18). Let h = -139\/76 + v. Which is the second smallest value? (a) h (b) 4.9 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 847 + 2?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-76)\/(-26) + (-1)\/(-13). Sort 195, 3, q, 4.\nAnswer: q, 3, 4, 195","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -159, -365, -677, -1149, -1835, -2789, -4065?\n\"Answer: -9*h**3 + h**2 - 146*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 108 = -5*x + 85, k + 2*x + 4 = 0. Solve k*n + 62 = 56 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 3*y - 27 = 0, -w - 6 = -3*w - 3*y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -120 (b) 3 (c) -3 (d) 131\/2 (e) 2 (f) 1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 499129 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 227016*c**4 - 327*c - 160078020 wrt c.\nAnswer: 908064*c**3 - 327","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krr when three letters picked without replacement from rrkkrr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(3\/11)*y)\/y)**(-47)\/((y*(y*(y\/(y**(-3\/7)\/y*y))\/y)\/y)\/y)**48)**(-3) assuming y is positive.\nAnswer: y**(7713\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/2799952 and 69\/217472.\nAnswer: 22399616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-136)\/85)\/(52\/(-195))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11914 divided by 23\nAnswer: -518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 7*b**2 - 9*b + 11. Suppose q - 8 = -0*q. Let m be i(q). Let c be ((-3)\/6)\/(m\/(-288)). What is the greatest common factor of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/31 and -43\/744.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 - 413*q - 2. Let n(z) = -8*z**2 + 1241*z + 6. Calculate -4*n(v) - 11*t(v).\nAnswer: -v**2 - 421*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 0*k - 3*k**2 + 4*k**2 + k. Let i be 6\/(-10) + -2*26\/(-20). Give r(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**2\/3 - 45593114*a\/3 - 45593117 = 0.\nAnswer: -3, 45593117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -179 - -260. Let q = 83 - f. Let 0*x + 0*x**3 + 2\/11*x**5 + 0 + 0*x**q - 2\/11*x**4 = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -412 - -409. What is the third biggest value in -8, t, 3\/20?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.15 - 0.11. Let z = 0.24 - i. Let y be (-6)\/(-9) + (-29)\/39. What is the second smallest value in 0.2, z, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*172\/168)\/(704\/(-2464))?\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*r = 0, 5*p + 8 = 4*r + 9. Solve -1 = -5*h - l, 0*l = -l + p for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/5)\/((9152\/80)\/26).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 803*g**2 - 3116 + 3116 - 296*g**2 + 1 - 1 + 3*g**2 + (-2*g + 0*g + 3*g)*(0 + 0 - 2*g).\nAnswer: 508*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 216300.6 rounded to the nearest 100?\nAnswer: 216300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**4 - 5*g**3 + 2*g**2 = 0 for g.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14624538 is divided by 7918.\nAnswer: 7910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2641538*w**3 - w + 36171480 wrt w?\nAnswer: -15849228*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -465 + 17?\nAnswer: -44a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -2299 and -2300 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 25788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 0 - 1\/12*u**4 + u**2 + 218*u - 5\/6*u**3. Calculate m(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 - 265851762*b + 5889763279875387.\nAnswer: 3*(b - 44308627)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*x - 44. Solve 0 = -x*k - 12 - 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 v when two letters picked without replacement from {k: 5, v: 9}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 14 - 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 167*o - 108. Let m(h) = -325*h + 258. Let f(n) = -162*n + 131. Let d(a) = 11*f(a) - 6*m(a). Let w(c) = -6*d(c) + 7*l(c). Differentiate w(k) wrt k.\nAnswer: 161","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 30*f**2 + f + 45. Let p be r(30). What is the third smallest value in 4\/3, -5, p, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3395372?\nAnswer: 2, 848843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 7.4, 139, -4 in descending order.\nAnswer: 139, 7.4, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 - 62.5. Which is the smallest value? (a) i (b) 0.1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 13 = -2*y, 7*y - 3*o + 12 = 4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16590444 is divided by 393.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*i**6*u**2 + 3*i**5*u - 10*i**2*u**2 - 13*u**2 wrt i.\nAnswer: 2640*i**3*u**2 + 180*i**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + 8 - 9 - 9) + -16 + -66?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4194 + 721 = 151*k for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-32)\/84*35\/(-20). Let i = 2.7 - -0.3. What is the nearest to 0 in i, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -143*i**6\/2 + 854*i**3\/3 + 319. Find the third derivative of a(z) wrt z.\nAnswer: -25740*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1836 = 27*i - 513 for i.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 7*v**2 - 5*v + 13. What is the remainder when 9\/(-189)*6*(-321 + -1) is divided by s(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 9*k**2 - k + 10. Let t be d(9). Let v be (4\/(-7) + t)\/(15\/(-10)). Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 3 (c) -2\/3 (d) -3 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 297 and 1769763?\nAnswer: 175206537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = -6*m + m. Let f be m\/10*(-2)\/(-3). Let l(g) = g + 3. Let a be l(0). Is f < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m + 0*m + 4*m + 3*m - m - 3*m + (-3*m + 2*m - m)*(2 - 6 + 3) - 2*m - 4*m + 5*m - 3*m + 0*m + 5*m + m + m + m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.0291 + 10.7471. What is u rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aiitnin. What is prob of sequence nit?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-16)*2*-4. Let f be 1\/x - 606\/(-18). Let y = f + -15. What are the prime factors of y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4226256 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 31, 112, 327, 742, 1423, 2436, 3847, 5722?\n\"Answer: 11*h**3 + h**2 + h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22509\/7 + -427629\/133. Factor v*x**2 - 2\/19*x**3 + 0 - 4\/19*x.\nAnswer: -2*x*(x - 2)*(x - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*y, -3*d - 2*d = -4*y - 8. Suppose 0 = 4*r + 4*w - 8, -7 = -d*r - 2*w - w. Suppose 5*b = 81 - r. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 e, and 2 c when four letters picked without replacement from {x: 3, f: 2, e: 4, c: 8}?\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 - 2*t**2 + 2*t**2 + (-91 + 91 - 6*t)*(-t**2 - t**2 + 3*t**2).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 10718?\nAnswer: -10713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 660 is divided by 81?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 19300000 to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, s: 5, z: 9}. What is prob of sequence es?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 + 55. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 4*k + 16, 110*b - k - 34 - 75 - 771 = 4*k for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j - 5*i - 54 = -24*j + 3*j, 0*i = -7*j - 5*i - 81 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.0095, 0.2, -2\/3, 3, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/2)\/(18\/(-180)). Suppose -2*o - z = -19. What is the remainder when 25 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 9:12 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9216 and 1675008?\nAnswer: 6700032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of d**6\/360 + d**5\/120 + 5*d**4\/24 - d**3\/3 - 1. Let g(b) be the third derivative of v(b). Is g(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 + -42. What is the remainder when 69 is divided by ((504\/(-20))\/(-7))\/(3\/o)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 188*k + 163 + 60 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -11. Is 1\/6 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/(5\/(95\/38)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 - 8824*k**2 - 4884036*k - 19395216.\nAnswer: -4*(k + 4)*(k + 1101)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -314 - 4?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) - (0 + sqrt(180) + 4) - sqrt(180) - sqrt(180).\nAnswer: -12*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 97506471 to the power of 1\/3, to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -67.33?\nAnswer: 67.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4 = j, r = -7*j + 2*j + 24. Let l = -2 + 3. What is the third biggest value in r, 3, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2288481?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 40 = -4*o, -5*o + 2*x - 40 = -3*x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*w + 82*w + 74*w - 3 - 228*w - 11*w**3 - 3*w**2 to p*w**2 + b + x*w + f*w**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 + 12*k + 320. What is h(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**3 - 3*q**2 + 3*q - 3. Suppose -i = -4*i. Let b = i + 3. Let k(d) = -3*d**2 + 4*d**2 - 5*d**3 + 3*d**2 + 6 - 2 - 4*d. What is b*k(x) + 4*j(x)?\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (54 - 71 - -2*1)*-4. Calculate the greatest common factor of 20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66197 + -30752. Is 85 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1.7, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -240 and 132.674298.\nAnswer: -107.325702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/40 and (-1450)\/480*(60\/(-175))\/6.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 6*s + 1. Let u be g(-6). Let j be 4*(-5)\/(-10) - 7 - -245. Suppose -2*x + j = 8*x. Is x bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*a = -98*a + 153 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, f: 2, u: 2, x: 3, l: 1}. What is prob of sequence utf?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.26 or 4\/45?\nAnswer: -1.26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -8, 4*u + 4*f + 13 - 9 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 1:12 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 - (40 + -199 - 13) - (-2 + -1 + 17).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**5\/15 - 4*d**4\/3 + 636*d**2. Find g, given that b(g) = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1. Let k(y) = 0 + 3*y**2 + y**2 - 3*y**2 + y**3 + 5. What are the prime factors of k(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-372)\/10)\/(4\/(-60)). Let k = y - -320. What is the least common multiple of 10 and k?\nAnswer: 4390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/3197663 and -173\/126.\nAnswer: 57557934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*s**2 - 103*s + 113*s**2 + 52*s + 51*s.\nAnswer: 40*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-280)\/25)\/(2\/(-10)). Suppose -j + 3 = -0. Suppose r - k = -j*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -203, -789, -1767, -3143, -4923?\n\"Answer: -r**3 - 190*r**2 - 9*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.31 - 3.69. Which is the nearest to -0.1? (a) 2 (b) -0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28747 and 45232648.\nAnswer: 1513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 9*l**2 - 2*l - 5. Let x be f(-9). Let y = x + -15. Is y greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(750)*-3)\/(sqrt(120)\/(sqrt(12) + sqrt(12)*4 + sqrt(12))).\nAnswer: -90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**3\/3 - 11*m**2\/2 - 2*m. Let p be i(9). What is the highest common divisor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9, 12, 27, 36, 39, 36?\n\"Answer: -3*y**2 + 30*y - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**3 + 18 + 5*s**3 - 3*s**3 to m + o*s**3 + a*s**2 + i*s and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 0.8 (c) 0.18 (d) -3\/4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -177*j - 529. Let v be d(-3). Let i(h) be the third derivative of 0*h**3 + 48*h**v + 1\/24*h**4 + 0 + 0*h. Let m(n) = 8*n. What is i(m(q))?\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17.2 + -15.2. Let p = -21 + 16. Let h be 1\/(-15)*(p + 7). What is the second smallest value in 4, h, -2\/5, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6432, -12884, -19384, -25956, -32624?\nAnswer: -39412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 134245 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 - 39. Suppose f = -3*n + 24. Suppose 20*j = 24*j - n. Solve 2*d = -4*s - 6, 0 = d + 3*s - 5*s - j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 158382 and 1386.\nAnswer: 1742202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 + -0.7. Suppose 5*z + 17 = -3*u, 0 = -60*u + 65*u + 5*z + 15. What is the second biggest value in u, b, 24?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56964080?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2*sqrt(833) - sqrt(833)) + sqrt(833))*1 + 5 + -4*(sqrt(833) + -2*sqrt(833)).\nAnswer: 6 + 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(2\/13)\/m*m*m)**45)**(2\/13))**6 assuming m is positive.\nAnswer: m**(8100\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 8 - 7*z**3 - z - 3 + 7.\nAnswer: -7*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (392\/12)\/((-2)\/(-3)). Let q = 70 - m. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from {w: 2, t: 5, m: 2, g: 5, j: 1, s: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 27 = 3*d, -42 = 94*d - 89*d + 3*p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 1391*p + 78. Is 32 a factor of c(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/11, 2\/21, 7, 5, -4, -1.\nAnswer: -4, -1, 2\/21, 10\/11, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**4 + t**4 + 0*t**4 + (t - t - 5*t)*(-24*t - 64*t - 22*t)*(-t**2 + 5*t**2 - 2*t**2).\nAnswer: 1101*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3141408?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from izuvvwwiiipu?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-54) + 5584\/432 + -13?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3146, 1336, -1680, -5902, -11330, -17964, -25804?\n\"Answer: -603*k**2 - k + 3750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15619446 is divided by 202?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -7*r + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -590324 (base 15) to base 7.\nAnswer: -51103012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.4 + 1.39. Which is the third biggest value? (a) f (b) 2\/9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 + 9*p - 2. Does 12 divide b(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -433828 + 4?\nAnswer: -433824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 2:32 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*k**3 + 2*k**3 + 2*k**3 + (-136*k**2 - 2269*k + 2269*k)*(4*k + 10*k + 2*k) as f*k**2 + u + c*k**3 + j*k and give c.\nAnswer: -2177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-7 - (-10 + 7))) + 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*h = 20, 6*f - 5*f - h = 4. Suppose 0 = -5*q + 5, 3*k = 7*k - f*q. Solve 0 = -w - k - 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 34 - 4. Let m(w) = -1 - 6 + w**3 + 3 - w**2 - 3*w. Let g be m(3). Solve -g*q - n = 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 929034.8l to millilitres.\nAnswer: 929034800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53014.71 months in centuries?\nAnswer: 44.178925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -b - 0*b - 3, 0 = -b - 5*o - 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 divided by 3602?\nAnswer: -29\/1801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + k + 2. Let s(o) = -o**3 + 3*o + 5. Let h be ((24\/18)\/(-4))\/((-1)\/(-15)). Calculate h*w(p) + 2*s(p).\nAnswer: 3*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (483*c**2 + 547*c**2 - 410*c**2)*(2*c**2 + c + 2 - c).\nAnswer: 1240*c**4 + 1240*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 219371\/40 + -5484. Let k = 370685\/22 - 16846. What is the common denominator of k and g?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 6 = 9*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -135 + 943\/7. Let p be (-4)\/3 + (5\/15 - -3). Let f be (p\/18)\/(3\/6). What is the second biggest value in f, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/27)\/((-26)\/(-3)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2555706.9 minus -0.4?\nAnswer: 2555707.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 674010.\nAnswer: 1\/112335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5 = 10. Let s(l) be the first derivative of 5\/3*l**i + 0*l + 0*l**2 + 2. Let k(t) = t. What is s(k(n))?\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*w**2 - w**2 - 2*w**3 + 7*w**3 wrt w.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h*u**3 + h*u**2 - 5*h*u - 4*h + 12*u**3 wrt u?\nAnswer: -6*h*u + 2*h + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 251 = 1271. Let s = -27 - w. Suppose -57*r + s*r = 200. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 440478169?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -0*r + 4*r. Let j = -226 - -1079. Let d = j - 827. Calculate the remainder when d is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/5 greater than 1102\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 5. Let a(y) be the third derivative of y**4\/12 - y**3 - 48*y**2. What is -4*a(l) - 5*z(l)?\nAnswer: -3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/71264 and 113\/1710336?\nAnswer: 1710336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -10. Let s = 15 - r. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-6 - -5 - -7) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 4:42 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c - 8 + 8.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2003287 to the power of 1\/2, to the nearest integer?\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1182\/1970)\/((-1416)\/80)?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.2 (b) -49 (c) -5 (d) 4\/49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10.4 from 125355589.\nAnswer: 125355578.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w - 118 - 20 = -19 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00071506778 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -176 + 120. Let y = -9 - p. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((2\/(-9))\/(240\/(-540)))\/4. Sort 0.2, c, 9.2, -2 in descending order.\nAnswer: 9.2, 0.2, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 212424 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10951, -23201, -35443, -47677?\nAnswer: -59903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -10*c - 8. Let k(v) be the second derivative of 0 + 0*v**3 + 1\/6*v**4 - 1\/30*v**6 + 3*v - 1\/2*v**2 + c*v**5. Factor k(l).\nAnswer: -(l - 1)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68)\/(-15))\/(1208\/906).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64.624*-5.\nAnswer: 323.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 36*l - 236*l)*(3*l - 2*l - 9 + 42 - 14)*(2*l + 4 - 4).\nAnswer: -406*l**3 - 7714*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.25514 and -0.1822.\nAnswer: 0.046486508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 100372689 a multiple of 303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4 = 4*t - 0, -4*t = 5*v - 18. Sort 0, 4, -5, t in decreasing order.\nAnswer: 4, t, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**4\/8 - 3*m**2 - m + 16. Let s(i) = 4599*i**2. Determine s(v(f)).\nAnswer: 41391*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 191)*((-55)\/10 - -6). Let d = p - -90. What is the units digit of 22 + (d - -17)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*i + 62*i - 43*i + 11 - 9*i**3 as p + f*i**2 + s*i + w*i**3 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*y**2 + 75*y**2 - 21*y**2 + 76*y**2.\nAnswer: 112*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 925, -791, -1 in decreasing order.\nAnswer: 925, -1, -791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 11:36 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.13202 and 582?\nAnswer: 581.86798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(1\/8)*a)\/a)\/a**(-13))\/(a**(-2\/13))**(-1\/4) assuming a is positive.\nAnswer: a**(1361\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 148, 143, 136, 127, 116?\n\"Answer: -d**2 - 2*d + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2\/3 (b) 3142\/5 (c) 0 (d) -4 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36.20018 + 35.2102068. Let f = 0.99 + k. What is f rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2377, 4, -0.5, 1\/16, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 - 88*p**2 + 260*p + 2704.\nAnswer: 4*(p - 13)**2*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7*a + 27. Let f(x) = -15*x + 59. Let o(p) = 4*f(p) - 9*z(p). Suppose -2*h - 2 = 4*k, 2*k - 4 = -8. Let s be o(h). Are s and 3\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2990*v - 2941*v + 5971*v)*(2*v + 3*v - 3*v).\nAnswer: 80*v**2 - 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47742, -47710, -47656, -47580, -47482, -47362?\nAnswer: -47220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 129*i - 3306. What is the smallest common multiple of l(25) and 6800?\nAnswer: 13600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2ac - 59?\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2366 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/2)\/(2\/40*(-105)\/(-42)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*9088\/(-852)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -2. Suppose -3*v + 4 + 10 = 2*h, 0 = -d*v + h + 11. Solve 2 = -2*o + v*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 3*o + 11, -4*l - 3*o + 18 = -l. Calculate the remainder when 2 + 2*(-5)\/(-10) is divided by 1 - (3\/(-3))\/l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15964.881 rounded to the nearest one hundred?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -3)\/2 - (-1)\/3\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -565, -1192, -2231, -3682, -5545?\n\"Answer: -206*x**2 - 9*x - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 37\/(-10) - (-603)\/(-2010). Suppose -5*h - q = -5*q - 32, 0 = -5*h + 5*q + 35. Sort 2, w, h.\nAnswer: w, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9*1*270\/945. Factor 3\/7*m**2 + 15\/7 + c*m.\nAnswer: 3*(m + 1)*(m + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 659.9604 millilitres in litres?\nAnswer: 0.6599604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -575 + 629. What is the least common multiple of 12 and s?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l + 2 - l**2 - 1 - 2*l**3 - l**2 + 3*l**3. Let w be v(3). Is -6*(0 - w\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 40*h**2 - 40. Let f(l) = -53*l. Let v(a) = 8*f(a) + 5*q(a). Let x(w) = 2*w + 5*w - 5*w. Give v(x(s)).\nAnswer: -48*s","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -3. Let n(z) = 3*z**2 + 4*z + 7. Is n(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6148 - 6137. Calculate the remainder when 143 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 961*1.2.\nAnswer: 1153.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**2 + 2*q**2 + 5*q**2)*(6*q - q - 3*q + (3 - 2 + 0)*(-1 + 1 - q) - 3*q + 3 - 3)*(-372 + 372 - 121*q).\nAnswer: 484*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 5*x**2 + 7*x + 5. Let s(m) = 2*m - 1. Let z be s(6). Suppose 0 = -3*c - z - 1. Determine b(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43334 by 1.\nAnswer: 43334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -1 (c) -7\/823806\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*u - 0. Suppose 0 = -2*o + 5 + u. Let q = -44\/75 - 1\/75. What is the closest to -0.1 in -3, q, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18690587?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539035 is divided by 382.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 + 16 - 565*f**2 + 565*f**2 + ((-f + f - f)*(-1 + f + 1) + 0*f**2 + f**2 - 2*f**2)*(-3 + 3 - 3*f).\nAnswer: 4*f**3 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23649646 rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*a = 6, 0*a = -v - 4*a - 14. Suppose -h - 4*w = -129, w = v*h - w - 308. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/834 and 29\/10.\nAnswer: 4170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 35, 305, 1043, 2483, 4859, 8405, 13355, 19943?\n\"Answer: 39*p**3 - 3*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 5*y + 4, 4*z - 1 = -5*y - 2. What is the tens digit of -28*z\/4*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -0.094.\nAnswer: -0.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -89 + (4 + 43 - -6)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d - 11. Let q be o(-7). Factor -7*a**2 + a**q - 2*a**3 - 6 - 13*a - 3 - 2*a.\nAnswer: -(a + 1)*(a + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1787384250 from 0.4.\nAnswer: -1787384249.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/3 and 5 + (129\/24 - 1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694558?\nAnswer: 2, 269, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 + 9*y**3 + 4*y**3)*(142 - 276 + y + 310)*(1 - 1 + 2).\nAnswer: 24*y**4 + 4224*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 + -0.3. Let q = 39.15 - -382.75. Let y = q + -422. What is the nearest to y in -0.17, 0.5, w?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 45, 3, -6, -5, 1 in descending order.\nAnswer: 45, 7, 3, 1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 219353, 438712, 658085, 877478, 1096897, 1316348, 1535837, 1755370?\n\"Answer: z**3 + z**2 + 219349*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010010 + -10101?\nAnswer: -100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 8. Suppose -k*i = i - 2003214. Suppose 1172262 + i = 4*d. What is d rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1473126513?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**3 + j**2 - 3*j - 442. Calculate w(0).\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**5 + 15064*o**4 + 45168*o**3 + 45160*o**2 + 15052*o.\nAnswer: 4*o*(o + 1)**3*(o + 3763)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78888831?\nAnswer: 3, 7, 31, 121181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 11*j + 3. Let u(b) = -b**2 - 6*b + 16. Let n be u(-9). Give p(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*a + 95, 2*a + 4*o = 2*o + 58. Let i be (0 - -2 - 2) + 15. Calculate the highest common divisor of a and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 545140 to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 n when two letters picked without replacement from {n: 3, g: 1, u: 3, p: 1, w: 1, r: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 242 (c) 172.8 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -1683*u - 20195. Calculate f(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - -1)*(5945\/123)\/(-29). Let r(w) = -w**3 - 5*w**2 - 4*w - 21. What is r(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7246411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 895095 + 1255246. Let z = 5102462 - d. Suppose -z + 1062121 = -3*q. What is q rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -445 - -447. Let j(w) be the first derivative of 0*w - w**3 + 5 - 11\/2*w**c. Find the second derivative of j(t) wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42058?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a decade?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 90787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = 2 - 177. What is the second derivative of -12*u + 53*u**4 - 10*u - i*u**4 wrt u?\nAnswer: 336*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -3*h + 67*r - 71*r, 15*h = -4*r + 194 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26368, -52748, -79132, -105520, -131912?\nAnswer: -158308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 3*u + 20 = 0. Suppose 0*q + 8 = -5*s + 2*q, -u = -5*s - q. Suppose s = 4*v + 5*r - 5, r = -r + 2. Solve v = -3*j - 2*j - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15504.\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 8*g**6\/5 + 18*g**5\/5 + 9*g**4\/4 + g**3\/2 - 7*g. Factor y(a).\nAnswer: 3*a*(a + 1)*(4*a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 6*o + 5. Let z = 25 - 13. Suppose -5*u = -2*j - 28, 4*j + z = u - 8. What is the smallest common multiple of v(6) and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -161, -272, -421, -620?\nAnswer: -881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/3)*t\/(t**(1\/24)\/t))\/((t\/(t*t\/(t*t\/(t*t\/(t\/(t**3\/t)*t)*t))))\/t*t)**5 assuming t is positive.\nAnswer: t**(271\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 16) in base 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**2 + 2*o**2 + o**2)*(-17 - o + o**2 + 0 - 4).\nAnswer: -2*o**4 + 2*o**3 + 42*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 - l**2 + 2*l**2)*(1314*l - 2105*l + 1290*l + 0*l - 2*l + l - l - 4*l + 3*l + (1 + l - 1)*(-1 - 4 + 3) - 4*l + 4*l + 3*l).\nAnswer: -1988*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-9) + -7*(-1500)\/1890?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*k - 4*f - 59, -16 = -k - f. Let p = -4 + k. Suppose 0 = 2*u - 3*h - 30, 2*u - 41 = -2*h - 1. Calculate the greatest common factor of u and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47595497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**(-4)*o))\/o*o**4\/o)\/(o\/(o\/(o*(o**(-1\/5)\/o)\/o*o))*o*(o*o**(-1\/6)*o*o)\/o*o))\/((o\/(o**(-4\/9)\/o))\/o*o**(3\/5))**(15\/4) assuming o is positive.\nAnswer: o**(-63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/10 or 1?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 0.42 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u - 2. Let m(i) = -21*i - 9. Let b(v) = 2*m(v) - 9*p(v). Let k(o) be the third derivative of 11*o**5\/60 + o**4\/24 + 2553*o**2. Give k(b(j)).\nAnswer: 99*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b - 2. Suppose -5*x + 30 = 5*c, -2*x - 10 = -4*c + 8. What is the remainder when (3\/(18\/(-128)))\/(2\/(-3)) is divided by s(c)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 5. Let a be d(0). Let w be a\/3*-2*-3. List the prime factors of (-6)\/10 - (-106)\/w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105 (base 8) to base 5.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**1)**(-37))**(-46))**15 assuming r is positive.\nAnswer: r**25530","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c**2 - c + 2. Let h be a(-2). List the prime factors of ((-8)\/3)\/((-4)\/h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -45716, -91425, -137136, -182849, -228564, -274281, -320000?\n\"Answer: -l**2 - 45706*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 - 30 - 6*j**2 - 9 - 15.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -0.4. Let r(w) = w**2 - 3*w - 5. Let a be r(5). Let p(k) = 2*k - 7. Let l be p(a). What is the third smallest value in j, -2\/15, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -14*i + 7. Calculate g(6).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-12))\/(4\/(-6)*(-348)\/(-1856))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*f - 4*k - 7, 0 = 2*f + 2*k + 6. Suppose 0 = -0*l - 2*l + 5*u + 4, f*l - u = 20. What is the greatest common divisor of l and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4520 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 26\/30)\/((-2)\/3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**9*n)\/(n**(-3)\/n))\/(n**0)**(-19) assuming n is positive.\nAnswer: n**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*y - 2 = 0. Let c = y + 0. Solve 5*j - 22 + c = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.30254 years in months?\nAnswer: 255.63048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356333.\nAnswer: 356333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*l + 89*l - 46*l + 3*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 2*b**2 + 9. Let w be j(3). Suppose 0 = 9*k - 5*k - 8. Suppose -2*i - 2 = -x + 41, w = -k*i + 4. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1750554400 to the power of 1\/2, to the nearest integer?\nAnswer: 41840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p + 3*g = 28*p + 18, p = g - 2. Let r be (-1364500)\/(3\/(p + 12)). Round r to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121 minus -1.35?\nAnswer: -1119.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2369*n - 165*n + 82624 = 48*n for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 17*d**4\/12 + 4*d**3\/3 - 10*d**2. Is x(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k + 3. Let q be a(-8). Suppose 2*c = q + 53. Is c a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 837330.7 decades?\nAnswer: 8373.307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 p when three letters picked without replacement from {a: 2, p: 1, v: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14526 (base 9) in base 6?\nAnswer: 113510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2916) - sqrt(2916))\/(-1*sqrt(24)\/sqrt(2)) - (sqrt(108)\/sqrt(324) - sqrt(12) - -6*sqrt(108)).\nAnswer: -49*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 8*r**7\/945 + r**6\/60 - 7*r**5\/270 - r**4\/12 - r**3\/27 + 13*r**2. Suppose o(m) = 0. Calculate m.\nAnswer: -1, -1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 23. Calculate s(-28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 183 + -143. Suppose f*i = 36*i + 1112. What is the remainder when i is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 843099 to the nearest integer?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252 - 493 + 242 - 39*o**3.\nAnswer: -39*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000021451023 rounded to six dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.96 - 0.04. Let h = -35 - -37. Suppose 0 = h*j - 5*f + 20, -4*f + 11 = -2*j - 5. Does n = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168 divided by 168.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 2*g = -536. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1226880239875348744 - 5952015443.122687893987534874. Let v = 5952015475 + t. Let s = v + -32. What is s rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.4, 5, 1\/27, 1?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 46435 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45734 by 1759.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35392 is divided by 11789?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 a when three letters picked without replacement from wwwwwaww.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*g - 7*g + 2*g**3 + g**3)*(0 - 1 + 3).\nAnswer: 6*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -243806, -487690, -731652, -975698, -1219834?\nAnswer: -1464066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 12:15 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-980946)\/(-288) - (-2)\/(-32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33759330?\nAnswer: 2, 3, 5, 11, 102301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004672409 rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(3\/(12 - 3)). Solve a*m - m = -5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*c + 3*z, 2*c - 11 = 4*z + 15. Suppose 0*t = 3*t + c. Which is smaller: t or -2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -20692*b + 641478. What is j(31)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 7:33 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -51? (a) 0.2 (b) -8 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 - 3*r**4 + 22 + (-1 - 2 + 6)*(-5*r**4 + 0*r**4 + 0*r**4) + 5*r**4 - 11*r**4 + 6 + 3*r**4 in the form v*r + h*r**4 + x*r**3 + n*r**2 + t and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0.249 (c) -1\/9 (d) -5 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 + -0.06. Let v = -0.05 + n. Let i = 627 + -622. Which is the nearest to v? (a) -5 (b) i (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvlaxxxilaxvlaiixao. Give prob of picking 1 a and 1 l.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, v: 1, z: 6, t: 3, a: 3}. Give prob of sequence tas.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/3 or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 978 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*((-2080)\/(-39))\/(-10)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pi when two letters picked without replacement from iggpgsppfphfgphfhgpg?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3369 divided by 1123.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 - 71*q**2\/2 - 89*q\/2 - 5.\nAnswer: (q - 10)*(q + 1)*(8*q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 10*r**2 - 9*r + 19. Let s(o) = -18*o**2 + 17*o - 39. Determine -4*s(q) - 7*v(q).\nAnswer: 2*q**2 - 5*q + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 12:04 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 20*b**2 + 4*b + 5. What are the prime factors of j(-2)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**2 - 14482*t**4 + 80 - 80 + 14479*t**4 - 56*t**3 + 4672*t wrt t?\nAnswer: -36*t**2 - 336*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4233035\/82 - 51623. Let m = d + 6161\/9840. Find the common denominator of 91\/10 and m.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33\/128 in -4, 0.0188, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*u + 66, 47*u - h = 44*u + 51. What is the greatest common divisor of u and 678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-48)*2)\/((-369)\/(-246))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-12))\/((-24)\/9 - -3). Let z = 7 - k. What is the greatest common divisor of 32 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13) + -4*sqrt(1872))*2 + -3 + 0)*-3*-6)**2.\nAnswer: 182736*sqrt(13) + 37220148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -161*t**2 + 49*t + 49. Let s be 7\/56*28*14. Let m(p) = -10*p**2 + 3*p + 3. What is s*m(k) - 3*r(k)?\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 985076 is divided by 328354.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 0.5396970527?\nAnswer: -4.4603029473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18249834.\nAnswer: 2, 3, 701, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5311430029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z - 3. Let w be p(-13). Suppose 15*y = w*y + 10. What is the greatest common divisor of y and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(((g*g**(2\/27))\/g)\/g)*g**(2\/29)*g*g*g**(-1\/7)*g*g\/(g\/(g\/(g*(g\/(g\/g**(-1\/3)))\/g))))\/((g*g\/g**(3\/7))**(1\/17))**(1\/51) assuming g is positive.\nAnswer: g**(9794807\/1584009)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1157*x**2. Let p(i) be the third derivative of -i**5\/10 - 7*i**2 + 38*i. Determine p(f(z)).\nAnswer: -8031894*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1092 - -1091.6187. What is t rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 355 = -2*g, -z + g = -2*z + 71. What is the remainder when z is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/1456 and -1\/1170064.\nAnswer: 15210832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -98, -278, -530, -854, -1250?\nAnswer: -1718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -20*u**3 - 15*u**2 - 26*u + 2. Let w(r) = 11*r**3 + 8*r**2 + 14*r - 1. Let m(g) = -6*b(g) - 11*w(g). Determine m(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.7 (b) 3\/11 (c) -1\/3 (d) -0.139 (e) -2\/7 (f) -1\/7 (g) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 + 20 + 18 - f + (-28 + 4 - 5)*(4 - 4 - 2*f) to v*f + h and give v.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/26 and 19\/24258?\nAnswer: 24258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 101101011 (base 2) in base 16?\nAnswer: 16b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129502901?\nAnswer: 11, 11772991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbmmbbmmmmkmmmkbmb. Give prob of picking 2 k.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.9 - 4.1. Which is the closest to -2? (a) 0 (b) -0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -y - 12, -4020*r + 6 = -4019*r + y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000017922157 rounded to 7 decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n - 1. Let o be l(1). Suppose 4 = b - 3*u, 0 = -4*b + 3*b + 4*u + o. Differentiate 1 - 2*f**b - f**4 - 4 with respect to f.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a - 828 = -4*k, 3*k = 4*a + 621. Suppose k = -x + 12. Let j = x - -324. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/31 (b) -3\/10 (c) -63\/2 (d) 5\/3 (e) 1 (f) 0.1 (g) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 32 and 0.774.\nAnswer: 32.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95272?\nAnswer: 2, 11909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-36)\/(-8)*(3 - (-23)\/(-9)). Suppose 0 = 2*g + 10, -4*r + k*g = 6*g + 20. Sort r, -2, -1.37.\nAnswer: -2, -1.37, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 - 43. Calculate the remainder when 117 is divided by 108\/702 - (-791)\/k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 5675*p + 79255. What is y(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*c**3 - 95*c - 5*c**3 - 17*c**3 - 4*c**3 wrt c?\nAnswer: -102*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**4 + j**4 - j**4)*(-1 - 1 - 6 + (-2 + 1 + 2)*(-1 + 1 - 1)).\nAnswer: -36*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, 79, -17, -179, -425, -773, -1241?\nAnswer: -1847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.36821 to two dps.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 - (-13 + 4 - -4)) + 1. Put 3, 197, m, -5 in increasing order.\nAnswer: -5, m, 3, 197","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23378, -23382, -23386?\nAnswer: -23390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 21 = 162. Let f = n + -105. What is the least common multiple of 5 and f?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 + 56.6. Let y = -7 + h. What is the second biggest value in 4, 2, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 186 from -1.\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-6) + 84\/(-18). Let x(h) = -h**3 - 4*h**2 + 4. What is the units digit of x(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 239514 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjlw when four letters picked without replacement from lpjjmjllwbpm?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04 + 241073.031.\nAnswer: 241073.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (324\/54)\/((-3)\/(-6)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -50*q**2 - 5*q - 4. Let m be f(7). Let t = -9881\/4 - m. Let l = 1248\/7 - 12893\/70. Calculate the common denominator of t and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2483 divided by -13.\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccllweccliwclic. Give prob of sequence wllw.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/112 and 91\/721176?\nAnswer: 10096464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.11 - -0.19. Let y = b - 0.1. What is the second biggest value in -0.1, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*d = 208, 5*d = 4*x + 122 - 404. Calculate the remainder when x is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(245)*-1)*3.\nAnswer: -21*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k - 58 = -21*k. What are the prime factors of k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22786*t**3 + 45574*t**3 - 22784*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 108*j - 871. Let t be r(8). Sort t, -5, -98.\nAnswer: -98, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18285 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10181, 19428, 28675?\nAnswer: 37922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.35071mm?\nAnswer: 0.00000035071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*p + p + 3106, -3*p + 3*a = -2322. Suppose -1164*j - 2*w - 109 = -1169*j, -5*j + 67 = 4*w. Calculate the greatest common factor of p and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 258 (base 12) to base 15.\nAnswer: 18b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 85519.74 milligrams in tonnes?\nAnswer: 0.00008551974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (26\/78)\/((-2)\/(-15474)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 34. Let s = 13 - u. Let o = s + -7. Sort o, 0.3, -1 in decreasing order.\nAnswer: 0.3, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -712, -590, -468, -346, -224?\n\"Answer: 122*w - 834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.6 + 45.4. Let b = 88 - k. Let c = b - 27.999974. What is c rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7769 - 19*v - 7774 + 5*v as w + x*v and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glg when three letters picked without replacement from {l: 7, g: 6, h: 1}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -267870.02976 + 236359.2381. Let u = n + 31510. Let k = u - -0.79. Round k to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b - 5\/2*b**2 + 5. Differentiate p(w) with respect to w.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1.928894 milligrams?\nAnswer: 0.001928894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 2*k + 8 = 0, -3*g - 16 = g + 5*k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 423 - 2963\/7. Which is the second biggest value? (a) 2\/3 (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -115, -132, -149, -166, -183?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -350 by -50.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 21*x - 357. Is h(-70) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 423 and 60700359?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 54, 1.5, 2, -218, -0.7, -0.4?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 917 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35.09 - 0.09. Let y = -31.4 + s. Let k = 3.6000008 - y. What is k rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 501, -0.2, 0.\nAnswer: -0.2, 0, 501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 2 + 0*v + 1\/2*v**2. Let q(z) be the first derivative of 5*z**2\/2 - 13. What is q(s(a))?\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*r - 66 = 0, -3*r - 18 = -2*l - 8*r. Let y be (-4000)\/(-6)*(-1827)\/l. Round y to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 100, -4, 5, 4 in decreasing order.\nAnswer: 100, 11, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35388)\/13762)\/((-27)\/14).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26 + 59 - 26)*(1 + 6 - 5)*(0 + 13 + 7)*(-3*f**2 + 3*f**2 - 9*f**3 + 4*f**3) in the form d*f**3 + p*f**2 + l*f + j and give d.\nAnswer: -1400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -0.18, -0.1, 61?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 304\/(-22)*-1. Which is greater: v or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h**5 - 22*h**5 - 30*h**3 + 1876*h**4 - 1855*h**4 = 0. Calculate h.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3751725 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {t: 2, f: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -594156, -594186, -594216, -594246, -594276?\nAnswer: -594306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9.6 * 0.9\nAnswer: -8.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 5 - 6. Let p be 3 + (0 + -1)*r. Let g = -114\/91 - -20\/13. Which is the closest to g? (a) 0.4 (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 1:21 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -29176911+11872456\nAnswer: -17304455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -15*y**4 - 48*y**3 - 51*y**2 - 9*y + 6. Let r(u) = -29*u**4 - 95*u**3 - 101*u**2 - 18*u + 12. Let b(g) = -5*d(g) + 3*r(g). What is n in b(n) = 0?\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g = -5*g - 660. Let s be (-10)\/g*5\/(5\/(-6)). Let f be 57\/(s\/((-3)\/(-9))). What is the greatest common factor of 209 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2483 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 45*g - 1335. Let f be v(34). What is the greatest common factor of f and 1885?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - (sqrt(77) - ((sqrt(77)*1 + sqrt(77))*5 + sqrt(77) - sqrt(77)))) + -5*sqrt(77)*-4)\/((sqrt(224)\/sqrt(4)*-3)\/((-2*sqrt(88))\/sqrt(11))))**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 21 = -3*b, 3*r + r - 24 = 3*b. Let c(w) = -w**3 - 9*w**2 - 14*w + 5. Let n be c(-7). Sort r, -2, n, 1 in ascending order.\nAnswer: -2, 1, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**5 - 56*a**4 - 13128*a**3 - 39008*a**2 - 38876*a - 12936 = 0.\nAnswer: -49, -1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 4925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29 in -5\/3, -1, 0.26, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/6 - 1*3\/(-18). Which is smaller: 1\/8 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**5\/10 + z. Suppose 3*u - 9 = 9. Let r be 2 - (-14)\/u*-3. Let m(h) = -h**3. Calculate r*m(o) - 3*q(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 250 - 1171 = -12558. Calculate the highest common factor of x and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4349 is divided by 1004?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**4 + 5*j**3*m**2 + j**3*t**2 + 47*j**3 - 49*j**2*t - 4*j*m**2 + 3*m**2*t**2 wrt j.\nAnswer: 48*j + 30*m**2 + 6*t**2 + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = -8*m + 210. Solve -65 = -m*o - 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 153613?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/8, 0.4, 0.06, -118?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4 + l**3 - l + 6*l**2 + 2 + 2*l**2. Let c be w(-8). Let h = c - 5. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23c39 + -4?\nAnswer: -23c3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-3 + 21\/6 - 0). Let l be 0\/(-3 + (-4 - t)). Let d be l + (5 - (2 - 3)). Is 5 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6732 - 6728. Solve d + 3 = -m*l, 2*l - 5*d = -d - 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*v + 103*v**2 + 13*v**3 + 11*v + 85*v**2 - 188*v**2 - 42*v.\nAnswer: 13*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-11))\/((-11)\/(-44)*-8)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2 - 10*s - 4. Let v be b(-5). Sort 5, v, 3 in decreasing order.\nAnswer: 5, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxnjxdddxxd. What is prob of picking 2 d?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*95\/57*141\/2*(-136)\/510.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/8*2*119. Suppose 2001 - 720 = 7*w. Let k = w - g. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-14)\/s)\/s*s**(6\/13)*s*(s\/s**(1\/2))\/s*s**(-4\/3) assuming s is positive.\nAnswer: s**(-1277\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 512, 579, 644, 707?\nAnswer: 768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*q + 6*p - 18, -3*p = -12. Suppose 5*v + 128 = i - q, 4*i - v = 578. What are the prime factors of i?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*w - 38*w = -48. Let g(u) = u**3 - 5*u**2 - 9*u + 6. Let k be g(6). Sort k, -5, w.\nAnswer: k, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 29 = 3. Let y(n) = -2*n + 12*n + 15*n - 5 - 4*n. List the prime factors of y(q).\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -88820*p**4 + 266356*p**3 + 312*p**2.\nAnswer: -4*p**2*(p - 3)*(22205*p + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/8)\/((-1)\/6). Suppose 5*k = -t*y + 6, 2 = y - k - 0. Suppose 2*d - 10 = y. Solve 0*g = -2*g + d for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*a**3 + 144983849426 - 144983849426.\nAnswer: 23*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -196, 6 in increasing order.\nAnswer: -196, -4, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k**2*t**2 - 256404*k**2 - 46412*k*t + 2*t**2 wrt t?\nAnswer: 4*k**2*t - 46412*k + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5*-409832\nAnswer: 2049160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (1 + -6 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 377976 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + y**2 - 2*y + 180. Suppose 3*a = 4*x + 8, a + 6 + 0 = -3*x. What is the hundreds digit of d(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 - z**3 - 2 + 5381*z**4 - 5369*z**4 + 4*z**3 - z**3 + z as m*z**4 + d*z + f + t*z**3 + s*z**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-185)\/110 + 8\/44. Which is the nearest to -3? (a) -1 (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5088873?\nAnswer: 3, 1696291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7*t**2 - 29*t - 585. Give p(12).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18.94807l?\nAnswer: 18948.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*z**4 + 11*z**3 + 3*z**2 - 3 wrt z?\nAnswer: -144*z + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1\/5)\/(15\/(-25))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 70 = 4*w, 4*w + 52 = 3*c + c. Let s(a) = -a**2 + 2*a + 2. Let o be s(0). What is the greatest common factor of o and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/5))**(-8)\/(s**(-3\/7)\/(s\/(s*(s\/(s**15\/s)*s)\/s))))**(1\/8) assuming s is positive.\nAnswer: s**(179\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 1) + 2 - (373 + -370).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -460, -689, -918, -1147, -1376?\nAnswer: -1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12441 divided by 143?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 5*m + 0*m)*(-7 + 0 + 3)*(358*m**2 - 67353 + 67353).\nAnswer: 5728*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 238 and 35352401?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 333, 325, 311, 291, 265, 233?\n\"Answer: -3*f**2 + f + 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 350870637 to the nearest integer?\nAnswer: 18732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 156307162.3 rounded to the nearest 10000?\nAnswer: 156310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -101000101010100000 (base 2) to base 13\nAnswer: -5aa74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 4*i**2 + 4*i + 5. Let x be c(4). Suppose b + 18 = x. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -241 - -247. What is the remainder when 65 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89771578801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 8. Let z be ((-3)\/3)\/((-2)\/y). What is the second derivative of -z*d**3 + 4*d**3 - 2*d + 0*d wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 6. Let h(x) = 1. Let v(b) = 2*h(b) - o(b). What is the least common multiple of v(-9) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 3:26 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, -54, -122, -188?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.05 - -0.05. Suppose 3*v - w - 4 = -0*v, -6 = v - 4*w. Let a be (v\/(-9))\/((-6)\/(-9)). Sort -0.4, a, x in descending order.\nAnswer: a, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-4))\/((-1)\/(-6)). Let v(n) = n**3 + 5*n**2 + 3*n + 1. Let q be v(-4). Which is the smallest value? (a) j (b) 0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2 + 4 = 0. Let f be 49\/w - 3\/2. Let o = 28 - f. What is the greatest common factor of 20 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2) + (-81 - -79)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 15968\nAnswer: 1\/15968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 230 = -7*h. Let l = h + 184. What is the remainder when l is divided by 48?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*n - 43 + 58 - 17 to y + g*n and give g.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 divided by -155?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dfr when three letters picked without replacement from {e: 1, b: 2, o: 1, f: 1, r: 2, d: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1542 = -117*i + 798 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 25461.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-24)\/90*(-6)\/20?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1851.03474 + 1851. Let s = 66.20674 + z. Let x = s + -66. Round x to two decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*x + 4439250 - 816162 = 0. What are the prime factors of x?\nAnswer: 3, 41, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17 and -450.\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(256) - sqrt(256))*-3 - sqrt(256)) + sqrt(256) + sqrt(256) + sqrt(256))\/sqrt(8) - (sqrt(48)*2)\/(sqrt(12)\/sqrt(2)*6 + sqrt(6)).\nAnswer: 220*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 32\/105 + (-30)\/75\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-3)\/(-9)*(-7)\/(-14)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -8, -0.3, 2\/5673?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t**2 + 4*t. Let x(y) = 15 - y + 9 - y**2 - 24. Let q(g) = h(g) + 4*x(g). Let s(v) = -2*v**2 - 8*v**2 + 8*v**2. Determine q(s(j)).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/3)\/((k\/(k*(k*k**(-1\/4))\/k))\/k)*k**2\/(((k**6*k)\/k*k*k)\/k)*(k**(-3)\/k**(-3))\/((k\/((k\/(k**(-1\/2)*k))\/k)*k)\/(k**(2\/5)*k*k)) assuming k is positive.\nAnswer: k**(-281\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j - 46. Let y be x(-11). Find the common denominator of 77\/38 and (-1359)\/y - (-7)\/(-2).\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -540 - -543. Solve -3*v = 12, 0 = -3*x - 2*v - n - 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 5*m + 19 = -14, 15*o = -2*m - 20 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t + 15. Let s(i) = -6*i - 15. Suppose -10*q = 2*q + 4045 - 3973. Determine q*s(h) - 5*r(h).\nAnswer: h + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -606 divided by 4\nAnswer: -303\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2507 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92 or -64?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6262, -12510, -18758, -25006, -31254, -37502?\nAnswer: -43750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3514 - 565750\/161. Let u be (-192)\/207 - (-2)\/3. Let x = a - u. Which is bigger: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 15048*u - 1728. Let n(z) = 2150*z - 256. Calculate -4*j(a) + 27*n(a).\nAnswer: -2142*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 409 - 407. Calculate the greatest common divisor of h and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1 (b) 5 (c) -1088 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 13*h - 28. Let b be 3 - (0 + 1)*18. Let n be m(b). Does 31 divide ((-943)\/69)\/(n\/(-36))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*w = 3*u - 143*w + 20, -4*u + 3*w = 18 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 3*q**2 - 5. Let p be o(-4). Let g = -7 - -19. Let k = -33 + g. Is p != k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 450\/(-675)*-12*(-42)\/48.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/3)*r\/(r\/((r*(r**22\/r)\/r)\/r))*(r**(-15)*r)\/(r**27*r) assuming r is positive.\nAnswer: r**(-65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58507.\nAnswer: 41, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.023135? (a) -25 (b) -1 (c) 4 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(((-3936)\/320)\/123)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-29))\/s)**(-4) assuming s is positive.\nAnswer: s**(-116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.461666 rounded to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 12 - 10*v**2 + 2*v + 11)*(v**2 + v**2 + 0*v**2) + (-9*v**2 - 4*v**2 - v**2)*(-2*v**2 + v**2 - v**2) + 5*v**4 + 11*v - 11*v.\nAnswer: 13*v**4 + 4*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/89, -4, -1\/24, -2 in decreasing order.\nAnswer: -2\/89, -1\/24, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**9\/15120 + g**8\/2240 - g**7\/840 + g**6\/720 + g**4\/6 - 3*g**2. Let r(f) be the second derivative of m(f). Factor r(p).\nAnswer: -p*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 138307, 138284, 138215, 138076, 137843, 137492, 136999?\n\"Answer: -4*p**3 + p**2 + 2*p + 138308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001869947377 to 5 dps.\nAnswer: 0.00187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 19 = -4*m - 5*f, m + 4*f = 8. Suppose -1 - 5 = 2*p, -3 = m*l + p. Which is the closest to l? (a) 0.1 (b) 1\/2 (c) 4\/9 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/211 (b) -332 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s + 5. Calculate p(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -1) + -4 - (1 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 8:27 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -7*p**2 - 2*p + 271. Let m(a) = 15*a + 3. Determine -4*m(j) - 5*o(j).\nAnswer: 10*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**5\/60 - x**4\/2 - 6*x**3 - 4*x**2 - 11*x. Factor l(o).\nAnswer: -(o + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 122633765 - 35?\nAnswer: 122633730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7021 + 1614711.\nAnswer: 1607690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y - 7 + 7 + (-2 + 1 - 1)*(3*y + y - y) - 42277*y + 2 - 2 + 41514*y to the form k + v*y and give v.\nAnswer: -772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 2024002 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 4:15 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times -233987\nAnswer: 163790.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*g - 40 = 0, v + 2*g - 110 = -v. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 385 and 5555?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -11 - 31. Let n be 161\/t - 1\/2. Suppose -n = -2*i - 1. What is the highest common factor of 45 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*t - 63. Let r be (29\/t - 2\/(-9))*-1. Solve 2*v + 2 = 0, -2*z = 3*v - 10 + r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybbuyvvybbybbybvbb. What is prob of sequence yuv?\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 770.1579 millennia to years.\nAnswer: 770157.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 12. Solve d = -n - n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 220\/721 + -2\/103. Is 7\/4 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/7 - 16*a\/7 - 40\/7.\nAnswer: 2*(a - 10)*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -4. Let o = b + 6. Find n, given that -n**4 + n**o - 2 + n**3 - 2*n + 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.061083 * 0.4.\nAnswer: 0.0244332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/(-175)*-7)\/(3\/25). Solve -6*b + 7 = -4*b + a*f, 0 = -3*b - 2*f - 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114794336 a multiple of 1424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - x**2 - 33*x + 10. Let k be r(-6). Let f = k - 386. Factor -1\/5*v**3 - 9\/5 - 3*v - 7\/5*v**f.\nAnswer: -(v + 1)*(v + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 9 - 1)*(129 + 116 - 245 - 529*n).\nAnswer: -3703*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 120 and 0.110096?\nAnswer: 13.21152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k**3 - 99*k**2 - 252*k + 242. Give a(22).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -232 + 1812. Calculate the highest common factor of 20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373 = 25*x + 2552. Let b = 192 + x. What is the smallest common multiple of 8 and b?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4449 + 4452. Solve -h = -5*r - 5*h, 0 = f*r - 5*h - 37 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8598 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 583493 + -20422256\/35. Let m = -23397\/14 - -1672. Calculate the common denominator of m and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**5\/30 - l**4\/4 + 2*l**3\/3 - 4*l**2 - 4*l. Factor n(b).\nAnswer: 2*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 6218 = 2*w, -4*p = 3*w - 2*p - 9352. Is 10*(w\/12 - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - u + 0*u = -17, -2*v + 22 = 2*u. Let a = -28 - -52. Let p = a - v. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*r + 1155 = -30*r. Let o = r + -101. Solve 0 = -n + o - 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 0*m = -5*s - 6, m = -2*s - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 60601127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 8*f + 1. Let x be r(-7). Let n(b) = -b**3 + 8*b**2 + b - 8. Determine n(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-114)\/(-7) + 4\/(-14) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 330 and 9.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-18))\/(56\/(-84))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8312*u - 439403 = 533101 for u.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -43*h + 6. Let k(u) = -42*u + 5. Let a(z) = -6*k(z) + 5*s(z). Let o(i) = i. Give o(a(f)).\nAnswer: 37*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 6:24 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 - 5*l**2 + 46*l + 24. Let k(g) = -3*g**3 + 7*g**2 - 47*g - 23. Let r(i) = -4*a(i) - 3*k(i). List the prime factors of r(12).\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71 - 69. Let z(s) = 3*s**3 - 3*s**2 + 3*s - 7. Let v(g) = -16*g**3 + 16*g**2 - 16*g + 36. Let i(r) = m*v(r) + 11*z(r). Determine i(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 - -47. Suppose 0 = 2*i + 3*c - 3 - 4, -4*i - 5*c + 11 = 0. What is the least common multiple of q and 1\/i + (21 - 2)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 822037?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4905 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 38\/133 - 16\/56. Let l be (18\/(-8))\/((-30)\/40). Factor 0 + 0*m**2 + b*m + 4\/5*m**l.\nAnswer: 4*m**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**4\/m*m**(5\/4)*(m\/m**(-3\/4))\/((m*((m**2\/m)\/m)\/m*m*m*m)\/m) assuming m is positive.\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 8. Let p be (15\/(-5))\/(v\/(-1)). Suppose -4*u + 13 = 2*d - p, -3*d + 3 = -3*u. Calculate the lowest common multiple of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 3. Let r be a(-9). Let o be (2\/r)\/(2\/24). Solve o*s + 21 - 5 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15740 at least as big as -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/((-44)\/14))\/(2\/4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 9. Let l be u(4). Suppose l*q - 11 = t, 0*t + 5*q = 4*t - 16. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 h when three letters picked without replacement from jjhh.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1507 - 1507. Let x(r) be the first derivative of 1\/2*r**2 + b*r + 6 + 1\/6*r**3. Factor x(l).\nAnswer: l*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 5*r - 12 = 0, -4244*l + 3760*l - 5*r = 978 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/3 - (-3)\/(21\/14). Which is smaller: a or -147?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + w - 7*w)*((-2*w**2 + 5*w**2 + 0*w**2)*(-2*w**2 - 3 + 3) + w**4 - 2*w**4 + 2*w**4 + (-w**2 + 2 - 2)*(-39*w - 22*w**2 + 39*w)).\nAnswer: -51*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 252 + -250. Put -1, -2, 4, v in decreasing order.\nAnswer: 4, v, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -10*f + 4. Let g be x(5). Let w = g + 67. Suppose 2*l - 2*z = 14, 0 = 2*l - 6*z + 3*z - 18. Calculate the greatest common divisor of l and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61276048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 20*w**2 + 2*w - 1. Let m(k) = 2*k + 2. Determine -3*m(h) - v(h).\nAnswer: -20*h**2 - 8*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3440181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 43677 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-12)\/105))\/((-48)\/((-4992)\/52)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12 + -13 - 4*(-4 + 15\/(-6)). Solve k*o - 24 = -74 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirteen fifths of a meter?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 81894.86 milligrams in tonnes?\nAnswer: 0.00008189486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/35)\/((-14)\/140).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjjjmjm. Give prob of sequence mjjj.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -830760 by -5160.\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {d: 6, w: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d - d + 2 + 4*d. Let v be a(0). Is 2 a factor of (3 - 1 - v) + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*o - o**4 + 323*o - 586*o)*(o + 2 - 2).\nAnswer: -o**5 - 239*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a kilogram in grams?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 a factor of 34730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2566932777 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**17)**3*((b\/b**(3\/4))\/b)**(-2\/27) assuming b is positive.\nAnswer: b**(919\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23608097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 7*b + 4*j = 4, -4*j - 4 = -b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239, 243, 247, 251, 255?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**3*d*f*u**2 - 11*c**3*d*f*u - c**3*f*u + 2*c**2*f - 14*c*d*f - c*d*u + 2*c*u**2 wrt c.\nAnswer: 6*d*f*u**2 - 66*d*f*u - 6*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.51 * 0.06\nAnswer: -0.0306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -7 (c) -2 (d) 8 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*s - 11*s + 4*s as o*s + w and give o.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*v + 27\/2*v**4 + 1\/2*v**5 + 0 + 240*v**2 + 109*v**3 = 0.\nAnswer: -12, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4e419 + 26?\nAnswer: -4e3f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 2*j**2 - 2*j**2)*(-10*j + 22*j - 9*j + 30).\nAnswer: -3*j**3 - 30*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*1\/(-15)*-6. Differentiate -10*l**2 - 4 + 4*l**2 - l**c wrt l.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/11, 3\/8, 1.\nAnswer: -5, -1\/11, 3\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 - 3*s + 1. Let i be f(-3). Let r be -4*6\/i*(-4)\/(-3). Suppose -2*v = -5*t - 37, -5*t + 1 - 2 = r*v. Solve 20 = -c + v*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11112111220201021200 - 10?\nAnswer: 11112111220201021120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.40056 milligrams to nanograms.\nAnswer: 82400560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-14)*-2 + 1262\/14. What is the greatest common divisor of 54 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*n = -34*n - j, -j + j - 2*j + 4*j = 1 - 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (8800002 + 0 + 1). Let y(v) = -v + 5. Let k be y(4). Let a be p\/8 + k\/2. Round a to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-280)\/1400)\/(9\/(-60)). Let i be (-5)\/(-2)*(-3)\/10. Let o = 0.2 - -0.8. Which is the closest to o? (a) u (b) -2\/11 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 12. Which is smaller: t or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -6.5. Which is the biggest value? (a) y (b) 3 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 14*m**2 + 4*m**2 - 8*m**2 + 2*m**2. Let b(d) = d. Give b(w(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*x**2 - 44 - 41 + 86 to the form l*x + y + k*x**2 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11\/(-2))\/11 + (-9)\/(-2). Let r(k) = 10 + 15*k**2 - 11*k**2 - k**3 - k - f*k. Let d be r(4). Which is smaller: d or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258 = -0*o - 47*o - 39*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4 + sqrt(175)))**2.\nAnswer: -1440*sqrt(7) + 6876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-7 - -1) + -8 - -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 84478831 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 157842825 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 89\/5, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 + -0.31. Let g = -8 - -7. What is the closest to -2\/5 in -1\/5, g, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -713*f + 684*f = -377 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-184 - 179 - 78 + 1 + 2 - 2 + (3 - 1 + 0)*(2 + 1 - 5))*(0*m + 4*m + 0*m + (0*m + m + 0*m)*(-9 - 1 + 1)).\nAnswer: 2220*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - 606?\nAnswer: -622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5 = -z, 0*z - 5*z + 4*o = -7. Suppose 0 = 5*v + 5*w - 105, -5*v - z*w + 84 = -5*w. What is the highest common factor of v and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*v - 320 = -40. Suppose -22 = n + 29. Sort 5, v, n.\nAnswer: n, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 14. Let q = t + -6. Suppose -2 = 2*s, 2*s - 15 = -5*l + 3. Put 0, l, q in descending order.\nAnswer: l, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -4, 117 in decreasing order.\nAnswer: 117, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37057?\nAnswer: 37057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u - 34. Let j be p(18). Let y(b) = j*b**2 + 0*b**2 + 4*b**2. Let i(g) = 3*g. Give y(i(r)).\nAnswer: 54*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/(-13338))\/((-9)\/((-1755)\/(-50))*(-33)\/55)?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4025\/(-9660)*(-6)\/(-4).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**8\/2240 - q**7\/1120 + 2*q**3\/3 - 1. Let s(a) be the third derivative of b(a). Determine g so that s(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335168 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*n - 141 + 5 + 16 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/67935760 and 89\/80?\nAnswer: 67935760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63623 and 7259.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -26*j - 64. Suppose 0*d - b = -2*d - 27, -3*b = -9. Does 40 divide c(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, 34\/295, 38, -2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63) + (sqrt(567) + 2)**2.\nAnswer: 39*sqrt(7) + 571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + f + 17 = 0, 2*f - 236 = -2*b - 230 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4a1 - -1?\nAnswer: 4a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -23*f - 5. Let p(b) = -12*b - 3. Determine 7*p(g) - 4*w(g).\nAnswer: 8*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -111a - -6?\nAnswer: -1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0\/(l*l\/(l**6*l*l))*(l**(-2\/7))**(19\/2))**45 assuming l is positive.\nAnswer: l**(1035\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1875971151 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - ((27 - (-20 - -25)) + -36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5574190 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7068)\/(-5890))\/((-12)\/(-25)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1883?\nAnswer: 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -484642, -484826, -485134, -485566, -486122, -486802, -487606?\nAnswer: -488534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 0 - 1581*q + 1.\nAnswer: -1581*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**3\/2 - 131*h**2\/2 - 1997*h - 1932 = 0.\nAnswer: -84, -46, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24174, 24179, 24190, 24207, 24230, 24259, 24294?\n\"Answer: 3*a**2 - 4*a + 24175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/(-66) - (-31)\/(-6). Put -1\/4, 1\/4, i in ascending order.\nAnswer: i, -1\/4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 5 - 4)*(3*n**3 - 23*n**3 + 9*n**3) to the form m*n + c + q*n**2 + u*n**3 and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*g + 14686, 2*d + 3*g = 4*d - 9808. Calculate the highest common factor of d and 158.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 155 (b) 0.05 (c) -0.01 (d) -0.1 (e) 60\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/5 in -4\/9, 9.695, -5\/2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 + -80. Suppose n*t + 0*t = -2*t. Solve -5 = -5*v + 3*r, t*v = v - 4*r - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**6\/10 + 5*n**5\/9 + n**4\/3 - 622*n**2. Solve r(f) = 0 for f.\nAnswer: -2\/9, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8906 + -115784\/13. Let r be 3\/6*1\/(-1). Sort d, r, 2.\nAnswer: r, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r - r - 159372. Let n = r + -5666. Suppose -n = -7*v + 10855. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 21468?\nAnswer: 64404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*r**2 + 17*r**2 - 18 + 21*r**2.\nAnswer: r**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-14))**28*(t**(2\/19))**(-2\/41) assuming t is positive.\nAnswer: t**(-305372\/779)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -93 + 3*y + 14*y**4 + 18*y**4 + 86 + 2*y**2 - 4*y**4 wrt y?\nAnswer: 336*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-6)*10992\/(-3206)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 9:14 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uiuiichicu. Give prob of sequence hu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**5\/60 + 13*d**4\/12 + 91*d**3\/6 - 51*d**2 + d. Let h be x(29). Which is the biggest value? (a) -1\/5 (b) h (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.4 - -0.4. Let m = -2 + 4. Let r = 2.5 - m. Which is the second biggest value? (a) p (b) r (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*z - 156. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39896*d*t**2 + 2*d*t - 25*d + t + 117 wrt t.\nAnswer: -79792*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**(8\/7)*n**26*(n**(-3\/10)*n)\/n*n assuming n is positive.\nAnswer: n**(1949\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2 - 841. Let l(t) = -54*t + 2. Determine o(l(u)).\nAnswer: -5832*u**2 + 432*u - 849","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441161119?\nAnswer: 7, 73, 139, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.31*0.10882458.\nAnswer: -0.1425601998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*t. Suppose -w - 19 = -5*b + 8, -b = 5*w - 21. Solve 2*d + b + 2 = t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -451672.6 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44 - 126*w + w**2 - 174*w - 169*w + 43 to d*w + m*w**2 + c and give d.\nAnswer: -469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - 497b8?\nAnswer: -497c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-7\/4)\/n**7*(n**(2\/9))**(-11\/6) assuming n is positive.\nAnswer: n**(-989\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17328780 and 3713310.\nAnswer: 51986340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 2, 5, -1, 0.06, -21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -149 times 2\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8 = 4*o, -5*x + 2*x - 3*o = 24. Let y(m) = -m**3 - 3*m**2 - m + 4. Give y(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -890 - -892. Solve 10 = f*h + 3*c, -2*h = -5*c + 5 + 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 0. Let u = 8 + i. Let q = u + 13. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 (base 11) in base 10?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*a - 393, -5*g + g - a = -509. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1794060439 to the nearest integer?\nAnswer: 42356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 8 = -7*o. Suppose 5*d - 9 = o*d. What is the third derivative of 5*z**2 - d*z**2 - 43*z + 13*z**3 + 43*z wrt z?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/3*(-1)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.28 + -0.28. Suppose -5*v = -3*v - 8. Which is the third smallest value? (a) 5 (b) v (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58*s**6 + 1530*s**2 - 60*s**6 + 287*s**5 + 1520*s**5 - 516*s**5 wrt s.\nAnswer: -240*s**3 + 77460*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 - 1. Let h = 1618 - 11324\/7. Which is the biggest value? (a) 1\/5 (b) k (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x - 4*x + 0*x + 3*x. Let k be u(-1). Determine a so that 9*a + 3 - 3 - 1 + 3*a**3 + 4 + 9*a**k = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -404431, -1618076, -3640817, -6472654, -10113587, -14563616?\n\"Answer: -404548*w**2 - w + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5876\/7 + -839. Let a = 2.217 + -0.217. What is the nearest to -2 in a, b, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40915, -81847, -122817, -163843, -204943, -246135?\nAnswer: -287437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -34*v + 16. Let t(m) = 69*m - 33. Let o(l) = 7*i(l) + 4*t(l). What are the prime factors of o(9)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.253794 to 3 dps.\nAnswer: -0.254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**7\/42 - p**6\/15 + 3*p**5\/20 + 2*p**4\/3 + 2*p**3\/3 + 3*p + 16. Suppose j(q) = 0. What is q?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 100751066, 201502131, 302253196, 403004261, 503755326?\n\"Answer: 100751065*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -598*w**4 - 15 - 2*w**2 + 600*w**4 + 3 + (-w + w**2 + w)*(-2*w**2 - w**2 + 4*w**2).\nAnswer: 3*w**4 - 2*w**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/6)\/(-2)*(20 + -5). Let n(s) = -s**2 - 8*s + 3. Let c(q) = 2*q**2 + 15*q - 7. Let v(u) = 4*c(u) + 7*n(u). Determine v(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by 2096\nAnswer: -63\/2096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hie when three letters picked without replacement from {e: 1, k: 1, i: 1, h: 1, x: 3, p: 6}.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4510 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -341, -712, -1113, -1538, -1981, -2436, -2897, -3358?\nAnswer: -3813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/3 + 3713608*t\/3 + 3447721094416\/3.\nAnswer: (t + 1856804)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 0. Let t = -847 + 852. Suppose -x*g - 5*u = 23, -u - 1 = -t*g - 2. Which is smaller: -1\/39 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -768867.98 rounded to the nearest 1000?\nAnswer: -769000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1581 and 5580.\nAnswer: 94860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15252 = -8842*o - 8747*o + 17425*o for o.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 17*c + 19. Let r be h(-16). Let y be 340\/r + 2\/7. Solve 4*n + 3*o = -o + 16, -4*n - 2*o = -y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011412144 (base 5) to base 6.\nAnswer: 112054231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 660 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34820321?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 475 = -46*i + 843 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-385))\/(1738\/4345).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 224.6.\nAnswer: 224.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*z - 11, g - 18 = -4*z + 4*g. Suppose -5*b + 14 = -16. Suppose 3*y = -2*x + 2*y + 3, 2 = 2*y. Solve -b = 3*p + 3*c, 2*p - c = -x - z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*y**3 + 82*y**3 - 27*y**3 + 18*y**2 + y**2 wrt y.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 288508?\nAnswer: 288506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 k when three letters picked without replacement from {k: 4, e: 6, p: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -23. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzi when three letters picked without replacement from {v: 2, z: 1, q: 1, g: 1, e: 1, i: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 28*b + 577. Determine w(14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 72414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -560077, -1120156, -1680235, -2240314, -2800393?\n\"Answer: -560079*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-432)\/(-40))\/((-42)\/(-60)*33\/(-77))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o - 76108 = 98*o - 73948 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.16 + 2.84. What is the smallest value in -3\/4, -0.2, d?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19\/18 in -4, 0.2, -0.1, -0.17, 5, 2\/19?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -16, 2263, 2 in descending order.\nAnswer: 2263, 2, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 8*t**3 + 11*t**2 - 3*t + 17. Let r(h) = -3*h**3 - 4*h**2 + h - 6. Give -6*b(y) - 17*r(y).\nAnswer: 3*y**3 + 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -100001000011010101000100?\nAnswer: 100001000011010101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145 divided by -1.\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 8*o**6\/5 + 7*o**3\/3 - 3*o. Find the second derivative of b(n) wrt n.\nAnswer: 576*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0.3, 29, -2\/13 in ascending order.\nAnswer: -2\/13, 0.3, 11, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -151*v - 452. What is h(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 39899*t**2 + 15*t + 6. Let b be n(-14). Round b to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5dd (base 16) to base 8.\nAnswer: 2735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 111358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -12*g - 61. Give a(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46527\/3052 - -4\/763. Let m = 35881 + -5131018\/143. Calculate the common denominator of f and m.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1549633?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0.1. Let r = -0.1 + i. Let w = -2 + 2.5. Which is the biggest value? (a) w (b) -2\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ycs when three letters picked without replacement from {a: 2, s: 1, c: 2, y: 4, w: 4, h: 1}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(5\/3)\/u)\/u*u**(-4\/7)\/u*u**(-4\/11)\/(u*u**7) assuming u is positive.\nAnswer: u**(-2372\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - b - 106 = 0. List the prime factors of b.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 7, 3, 51, 2 in increasing order.\nAnswer: -3, 2, 3, 5, 7, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -5\/3, -1\/8, -4352.6, -5 in increasing order.\nAnswer: -4352.6, -5, -5\/3, -1\/8, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -87053?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -106458*x - 32739 wrt x?\nAnswer: -106458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptp when three letters picked without replacement from ntpnpnnpppppt.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-16))**(-1\/3)*t*(t*t*t\/(t\/(t**(-31)\/t)))\/t*t*t\/(t**(-2\/3)*t) assuming t is positive.\nAnswer: t**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 5*c - 53, -4*a - 47717 = 3*c - 47784 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4504173 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 = -5*u, 3*o + 2*o + 16 = u. Let h be (-6)\/3 - (u + -7). Suppose 4*i = -h*x - 33600008, 5*i + x + 33600002 = i. Round i to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1784\/225 + 76\/25. Let o be (244\/(-18))\/((-32)\/(-128)). Let a = o + 5530\/99. Calculate the common denominator of a and n.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**3\/2 - 51*a**2 - 313*a\/2 - 105 = 0?\nAnswer: -2, -1, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 6.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times 29857678?\nAnswer: -2090037.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2\/4 + -1)*23464\/(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 38 = 5*v, 167*v - 30 = -4*l + 168*v for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -400 divided by 16\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -8065*q**2 - 64574*q - 428. Determine h(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 752, 0.6, 4573, 0 in increasing order.\nAnswer: 0, 0.6, 752, 4573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(200)*-1 + sqrt(200) - 6*(sqrt(200)*2 + sqrt(200)))**2 + -5.\nAnswer: 39195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebhhe. Give prob of sequence hbh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1019.6459 * 0.1.\nAnswer: 101.96459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4358\/3 + 1454. Sort -64, 1, h in descending order.\nAnswer: h, 1, -64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1679442 and 4.\nAnswer: 0.6717768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 = -2*j, 3*j + 0 - 2 = -d. Suppose 0 = m + 2*m - z - 34, 0 = -4*m + 5*z + 38. Is (j - -797)*(-2 - m\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 8*q - 6. Let a = 3 - 3. Suppose 3*v + v - 20 = a. What is c(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11436, -22873, -34310, -45747?\n\"Answer: -11437*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5453535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -74*s - 3. Let j be k(3). Let p be (2 + -1)\/((-3)\/(-3)). Let o be 1\/p + j\/(-3). Round o to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 1259*u**3 - 2*u**2 + 40*u - 5691*u**3 - 42*u - 1. Let c be y(-1). Is (1\/3)\/(7\/c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4001*u**2 - 4174*u**3 + 126*u**2 - 282*u**2 wrt u?\nAnswer: -25044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5 - 3*r + 1 + 3. Let k(d) = 10*d + 4. Suppose -s + 5*s = -3*u - 31, 3*s - 13 = 5*u. Give s*k(v) - 14*y(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -35387 - 4111.7\nAnswer: -39498.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.9 + 3. Let i = 0.5 - 0.4. Let t = i + 0. Which is the closest to s? (a) 2\/5 (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-1 + (-3 - -6)). Let w be (-10)\/4 - 2\/4. Let v be (w - 0)*(-4)\/9. Is v at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (949*y**4 + 28784*y - 28784*y)*(-1 - 4 + 4) + 2*y**4 + 2*y**4 - 3*y**4 + (0*y**3 + 0*y**3 - 3*y**3)*(0*y + 0*y - y).\nAnswer: -945*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1235, 16, -5 in decreasing order.\nAnswer: 1235, 16, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 7042*i**2 + 2 + 52*i - i**3 + 7042*i**2 as v*i**3 + h + a*i + f*i**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.16734 rounded to one dp?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -10110?\nAnswer: -10033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/3)*l**(1\/4))\/((l\/(l**0\/l)*l*l)\/l**(-6)))\/((l**(1\/4))**(3\/40))**(-37) assuming l is positive.\nAnswer: l**(-4507\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 98.29183l?\nAnswer: 98291.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.044 + -114.956. Let v = -124 - i. Which is the closest to 0? (a) -2 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732449?\nAnswer: 732449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*b*k*s*w + 5*b*s + 262*b*w + b + k*s*w - 2*k*s - 2*s*w + 2*s - 5088*w + 1 wrt b?\nAnswer: 3*k*s*w + 5*s + 262*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -5\/2, 3, -15, 35, -5?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64 (base 11) to base 9.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-232*u**2 - 19 + 3*u + 237*u**2 + 5)*(u + 2*u - 2*u) to k*u**3 + d*u + l + s*u**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1526719931?\nAnswer: 11, 59, 1063, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89042241.54 + 14.05.\nAnswer: -89042227.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 3*z + 6 = -7, -29 = 5*j + z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8292 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 50*t - 29*t - 11 - 24*t + (3 - 7 - 3)*(3*t + t - 3*t).\nAnswer: -10*t - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 156484 and 199652.\nAnswer: 5789908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 8*m - 16. Let u(o) = -93*o + 15. Let j(w) = -75*w + 13. Let r(f) = 5*j(f) - 4*u(f). Determine 11*r(n) + 4*z(n).\nAnswer: -n - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1db - -2?\nAnswer: 1dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21.41 + -1.41. Which is smaller: -0.3 or j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12953)\/2*(-5 - (-12 + 3))\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4, -5, -38, -107, -224, -401, -650, -983?\n\"Answer: -2*u**3 + 5*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 7*i**2 + 9*i - 5. Let t be z(8). Let h(j) = -j**2 - 7*j - 1. Let l be h(-5). Solve 3*d + t = l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25998, 23005, 18026, 11067, 2134, -8767, -21630, -36449?\n\"Answer: z**3 - 999*z**2 - 3*z + 26999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*g = 24. Let o = 7 - g. Let i(z) = z**2 - 33*z + 246. Let t be i(22). Solve -p + a + t*a = o, 0 = -3*p + 5*a - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -5. Is g < -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/20*(-20)\/(-55). Is r <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -13*z**4\/4 - z + 2. Suppose o - 5*f = -1, 2*o + 4*f - 3 - 51 = 0. Calculate the remainder when o is divided by p(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**4 + 244*k**3 + 2412*k**2 + 7452*k + 7560 = 0?\nAnswer: -3, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and -178208047.\nAnswer: 1782080.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -28*p**3 - p. Let k be m(1). Suppose -2*t - 5*c + 100 = 0, 8*t = 3*t + 5*c + 250. Let u = t + k. Does 19 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596765293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-2)*4\/(-12)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14749 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l + 2 - 503*l**3 + 2016*l**3 - 505*l**3 - 502*l**3 + 15*l**2 - 510*l**3 to the form k*l + x*l**2 + m*l**3 + v and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 3\/58 (c) 8011\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 577777298 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12740.173 + 12740. Let x = 164 + -164.073. Let m = x - t. Is 16 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 25866128, 25866141, 25866154, 25866167, 25866180, 25866193?\n\"Answer: 13*d + 25866115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 1. Calculate g(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/2432 and -157\/3557940.\nAnswer: 113854080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -42*v + 36. List the prime factors of w(-9).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89062565 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/28 + (-259288)\/28. Let u = 20993 + a. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + 0.3. Let h = 0 - q. Let y be 6\/(-9)*(-3)\/7. What is the nearest to h in y, -0.01, -5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153811, 153808, 153805, 153802?\nAnswer: 153799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*p - p + 572, 5*p = f + 715. Let g be (-693)\/p - (-2)\/(-13). What is the units digit of g\/(-20) - (-95)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-6)\/(-4)*(1386\/42)\/99.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4)*2\/(-4). Let j = -9889672\/52129 - -8\/7447. Let v = j - -190. What is the third smallest value in -3, c, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*v + 85 = -376*v + 1785 for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 10 - 5 - (6 + -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 37 and 91393.\nAnswer: 91430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7*i**3 - 1. Let h be w(-1). Let s = 125 - h. Calculate the highest common divisor of 19 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 439 - 437. Suppose 9 = 2*r + r. Suppose 4*z - r = -3*m, -3*z - 4 = m - 5*m. Sort -4, t, 4, z in decreasing order.\nAnswer: 4, t, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3699 + -3271. Calculate the remainder when j is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3293399, 3293401, 3293403?\nAnswer: 3293405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -64000 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 31*u**2. Let d(i) be the third derivative of 0 - 20*i**2 + 0*i + 0*i**4 + 0*i**3 + 1\/20*i**5. Give m(d(g)).\nAnswer: 279*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 k when four letters picked without replacement from {h: 5, w: 3, f: 3, y: 2, k: 7}?\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.059 and -20.6.\nAnswer: -1.2154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4758, -4748, -4738?\nAnswer: -4728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/4 in 1, -4, 4, -0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 1 = -15. Suppose -11 = -5*m - 5*f + 14, 5*f - 20 = 0. Calculate the least common multiple of m and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1169 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 times 72?\nAnswer: 10728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b + 2*b**2 + 11*b - 3472 - 5*b + 72.\nAnswer: 2*b**2 - b - 3400","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43166 or 43167?\nAnswer: 43166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k - 27. Give c(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-100)\/350 - ((-37)\/7 + 2). Solve -2*v = i*t + 14, -3*t + 0*t - v = 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98 - 98.3. Which is the closest to 12? (a) s (b) -4\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a millennium?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -11*f - 1\/80*f**5 + 1\/2*f**3 + 0 + 3\/32*f**4 + 6*f**2. Let v(j) be the first derivative of u(j). Let v(s) = 0. What is s?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6381659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 327 + -288. What is the remainder when z is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*t*v**4 - 2*t*v**3 - 2067*t*v**2 + 13*t*v - 248681*v**4 - v**2 - 2*v + 3 wrt v.\nAnswer: 48*t*v - 12*t - 5968344*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/6 and -71\/23021808.\nAnswer: 23021808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-22)\/(-4) - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.37799ng to tonnes.\nAnswer: 0.00000000000004137799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -342176 divided by 42772?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -25105883+-597.54\nAnswer: -25106480.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l = 84 + 31 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35 and 0.08.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j = -7*x - 16*j - 34, 0 = -2*x - 4*j - 28 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 20010 (base 3) to base 2\nAnswer: 10100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1769296338 + 3.\nAnswer: -1769296335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 965965800 to the power of 1\/3, to the nearest integer?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6997 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 333 = -t, -8*g - 1755 = -5*t - 3*g. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 52 = -8*m. Let v = m + -13. Let d be -1*v\/(-2)*-1. Solve d*s + 8 = -2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1223 is divided by (-1*(8 + -3))\/((-7036)\/(-1176) + -6).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13\/5 of a century?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k**2 - 286*k - 1181. Determine l(-4).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34758*m**6 - 261963*m**2 wrt m.\nAnswer: 4170960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90 - 3499. Let n = k - -5266. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*g + 31, 56 - 1 = 5*g + 2*v. Let p = -5 - -8. Solve -4*s = -8, p*s + g = -l - 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + i = m + 10, -18 = 3*m + 3*i. Let t be (-30)\/12*(2 + m\/2). Suppose -t - 7 = -3*u. What is the remainder when 7 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 121*n**2 + 1505*n + 18369. Determine y(105).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*o**3 + 6\/7*o + 0*o**2 - 4\/7.\nAnswer: -2*(o - 1)**2*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, q: 1, r: 2, j: 1, s: 1, p: 2}. What is prob of picking 1 r and 2 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1565, 6434, 14617, 26126, 40973?\nAnswer: 59170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + 1. Let y(j) = 4*j**2 + j + 3. Let v(u) = -5*r(u) + 3*y(u). Let s be v(-2). Let t = -2 + s. Solve 0*k = -t*k + 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 2*n + 96, 4*n - 84 = -2*t + 3*n. Suppose -41 = 3*z - t. Put -1, -8, z in decreasing order.\nAnswer: z, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78854074 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25770932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 509097 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5823 - 1388063.\nAnswer: -1382240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1221779 - -1880040. Suppose -3*l - 1740012 = 2*s, 2*l - 2821731 = 4*s + q. Round s to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z + 7. Let n be d(0). Suppose -9*u + n = -11. Solve 0 = 3*r - 5*c, 0*r + u*c - 14 = 4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*c - 15*c - 8*c**3 + 86 - 12*c - 2 + 42*c wrt c?\nAnswer: -24*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 17 + (-3 - -7) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27977, 56019, 84061, 112103, 140145?\nAnswer: 168187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004065 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -11*v. Let w(r) be the first derivative of 3*r**2\/2 + 18. Give s(w(f)).\nAnswer: -33*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zf when two letters picked without replacement from {f: 3, z: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 10:40 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 11*g**2 + 24*g + 6. Let m(l) = -10*l**2 - 20*l - 5. Let v(i) = -5*j(i) - 6*m(i). Let x(r) = -30*r**2. What is v(x(w))?\nAnswer: 4500*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 27, 63, 87, 87, 51?\n\"Answer: -2*i**3 + 6*i**2 + 32*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 - 40228*s**3 - 202366938*s**2 - 808985080*s - 808824200.\nAnswer: -2*(s + 2)**2*(s + 10055)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 9*n - 18. Let x(h) = -3*h + 6. Determine 6*u(p) + 17*x(p).\nAnswer: 3*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 2\/13, -1\/6, -3\/3188, -1\/2, 4\/37?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p. Let a(j) = -2*j**2 + 152*j + 1. Determine a(f(m)).\nAnswer: -72*m**2 + 912*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 7*n = -48600. Calculate the common denominator of -76\/9 and n\/650 + (-4)\/(-26).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.9 - 0.9. What is the closest to v in -1\/4, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 4:56 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/c**(-1)*c*c*c**(-7)*c**(-3)*c**(-1\/3)*(c*c**0)**(-21\/5)\/(c**(-5)*c**(-1\/10)) assuming c is positive.\nAnswer: c**(-133\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3\/6*3*8\/12\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - m. Suppose m*n = 3*n. Let r be (1*28\/(-154))\/((-1)\/11). Solve r*a - a = n for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, 1183 in increasing order.\nAnswer: 3, 6, 1183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 322 - b**2 + 0*b + 12223*b**3 + 1044.\nAnswer: 12223*b**3 - b**2 + 1366","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**5\/100 - a**3\/10 + a**2\/5 - 10*a. Factor w(v).\nAnswer: (v - 1)**2*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w - w**2 + 12 - 12. Let t be (-1)\/(-3) - (-2 - (-41)\/(-3)). Suppose t*i = 11*i - 15. Give u(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 4*o**2 - 3*o. Let s(f) = -f**2 - 5*f - 2. Let r be s(-4). Let u be c(r). Solve 5 = -u*p - 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -30, -59, -90, -123, -158, -195?\n\"Answer: -z**2 - 26*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 divided by 58?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 3*y, -5*y = 4*r + r for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147248?\nAnswer: 2, 9203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -7*v - 270. Let x = v + 36. Let p = 52 + x. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 0 + 2 - b - 1. Let f(o) = 2*o - 3. Let i be -4 + (4*5\/(-4) - -10). What is i*f(r) + 4*x(r)?\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 26\/5 of a centimeter?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**3\/5 - 72*u**2\/5 + 636*u\/5 - 992\/5 = 0.\nAnswer: 2, 8, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*r - 64*r = 224 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 207 + -187.9. Let u = -19 + q. Which is the closest to 0.1? (a) 0.5 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -4 + 34 + -31?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.01, -38, -0.03, 4, -8\/87?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20118 = 1733*l + 11916 - 48987 for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1881 and 12825?\nAnswer: 141075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 98.41964 decades?\nAnswer: 11810.3568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 3*b**2 + 9*b - 5. Let u be j(-5). Suppose u = 3*l - 2*t + 4 - 26, 0 = 4*l - 5*t - 27. Is 88*((-6)\/l - -2) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 426, 5, 0.17, 3\/7 in descending order.\nAnswer: 426, 5, 3\/7, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3047*(0 - (-8)\/8). Let s = 4638 - u. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7033 and 24345.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 201*j**2 + 209*j + 6. Let p(g) = 2*g + 2. Let c(y) = -3*p(y) + q(y). What is the second derivative of c(k) wrt k?\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 6*v - 73 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 4219859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/168 and -64\/155709.\nAnswer: 8719704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = f + 166. Let c = 110 + f. Suppose c*b - 4*b = 128. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -782*y**2 - 626*y**2 + 1115*y**2.\nAnswer: -293*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(605) - (4 + 1*sqrt(605) + sqrt(605))**2) + sqrt(40)\/(sqrt(8) - sqrt(24)\/sqrt(3)*4)).\nAnswer: 992*sqrt(5) + 14616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2*c**2 - c)*(c**2 + c**2 - 3*c**2) + 3*c**4 - 2*c**3 + 2*c**3 + (1689*c - 1689*c - c**2 - 62 + 2*c**3)*(-2*c - 2*c + 3*c).\nAnswer: 3*c**4 + c**3 + 62*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -648 + 652 = -49*z + 543 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**2\/2 - 53. Let o(q) = -2*q - 8. Calculate y(o(x)).\nAnswer: 2*x + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.2 + 6. Let l be (-38)\/(-14) + -5 + 2. What is the nearest to z in -2\/9, 4, l?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a - 1?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 + 71.5. Let t = 47 - 142\/3. Which is the closest to 0? (a) t (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.2 - 11. Let v = -1 - x. Let s be 5\/20 + (-10)\/(-24). What is the nearest to 2\/7 in 0.1, s, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 d when four letters picked without replacement from {w: 5, d: 3, l: 1, h: 3, t: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8834134*h**6 - h**4 + 38203117*h**2.\nAnswer: 1060096080*h**3 - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 102.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -24. Suppose 5*n - 5*r - 1 - 59 = 0, -5*r - 20 = g. Calculate the remainder when n is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**7\/105 - 7*w**5\/6 + 1589*w**3\/6 - 1176*w**2. Differentiate q(g) wrt g.\nAnswer: 8*g**3 - 140*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 100*t**2 + 6099*t - 58. Let u be m(-61). Solve -c = -3*x + 20, -20*x + 19*x + 20 = -u*c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/2435 not equal to 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 + 42 = -13*w. Solve -72 = -w*o - 92 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -82*h - 3442. Let t be q(-42). Suppose -8 = 4*a, 8*a + 12 = s + 4*a. Suppose -t*v = v + 5*c - 9022, -s*v - 3*c + 12011 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t + 2*t - 2*t)*(0 - 3 + 0 + (-1 + 0 + 2)*(3 - 3 + 1))*(3 + 3 - 4)*(1 - 1 - 4)*(0*t - 2*t + t) to x*t**2 + q + h*t and give x.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2498685253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1620358 is divided by 20773.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 722 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*3 - sqrt(700) - sqrt(7)) + -3 + 5 - (4 + (sqrt(112) + -3)**2 + (sqrt(28)\/(sqrt(12)\/sqrt(3)) + sqrt(7) - sqrt(7))).\nAnswer: -123 + 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (70 + -42) - -64.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8932, -17868, -26780, -35656, -44484, -53252, -61948?\n\"Answer: 2*b**3 - 8950*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.82 - -1.82000203. What is c rounded to seven dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -5 + (-3 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 3*y = 37, 9*y + 94 = -62*s + 67*s + 18*y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 26*v + 9. Let g(r) = -r**2 + 11*r + 1. Let o be g(11). Let y be (o + 0)\/(23\/161). Is w(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 682061 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 132791, 266559, 400327?\n\"Answer: 133768*y - 977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38778*b**5 - 371*b**4*o**3 + b**2*o**3 + 1508077*b**2*o - b*o**3 + 2*o**3 wrt b?\nAnswer: 2326680*b**2 - 8904*b*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -7*c + 3*r + 693, -4*c + 675 = 3*r. Suppose 11*n = 489 + c. Let j(p) = 15*p**2. Let l be j(1). Calculate the greatest common factor of n and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39773 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75*y**4 + 36*y**2 + 2*y - 217 wrt y?\nAnswer: 900*y**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 12497, -2944.9 in descending order.\nAnswer: 12497, 0.5, -2944.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-3))\/(((-6)\/(-27))\/(32\/(-156))). Let x = -11 + 8. Let y be 1 - 1 - (3 + x). Is l greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -337.81 + -57.19. What is the closest to f in 4, 0.3, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2 + k**2 + 4*k + 3 - 9. Let t be f(-6). What are the prime factors of -1*(-6)\/3*226\/t?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32*2.78569.\nAnswer: 89.14208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-171)\/(-252))\/19)\/((-140)\/21280)?\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-48790)\/(-255)*5\/20*(-6)\/28\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 2:35 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 39 = 9. Solve 0*v + 20 = 4*v - 4*l, 2*l = 3*v - c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -102 + 35647?\nAnswer: 35545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d - -369999?\nAnswer: 36997a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -529, -2485, -5733, -10273, -16105?\n\"Answer: -646*h**2 - 18*h + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7 and 1229.6528.\nAnswer: 1222.6528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + 3. Let o be (-3 - -7) + -2 - d. Round o to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o + 40 = 0. Let j = o - -58. Calculate the remainder when 48 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312\/(-346788)*91162 + 82.\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -2\/11 (c) 24.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(2 + -5)*1. Let k(z) = -z**3 - 4*z**2 + 4*z - 8. Let r be k(-5). Which is the closest to x? (a) r (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14.53 + -1.38. What is o rounded to one decimal place?\nAnswer: 13.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1344 and 67268928?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 + 31*i**2 - 117*i + 58. Give z(10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (2 - 7 - 0) - (-15 + 13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**9\/(j\/(j*j**(-32))*j) assuming j is positive.\nAnswer: j**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 3:32 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*k + 102 = 68*k. Let a = -6 + 12. Solve k*p - p = -a for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, y: 7}. Give prob of sequence jj.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -3\/10*i**5 + 4\/3*i**4 - 64\/27*i**3 + 0 + 83*i**2 + 0*i. Factor z(n).\nAnswer: -2*(9*n - 8)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207835.\nAnswer: 5, 197, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -815*a + 1821*a - 837*a.\nAnswer: 169*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 12. Let l(h) = -3*h + 8. Let y be l(k). List the prime factors of y\/4*8\/4.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218650423?\nAnswer: 19, 1723, 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57621269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = g - a, -2*a + 5*a = -5*g + 274. What is the remainder when g\/12*9*1 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 648 - 652.91. Let s = h - 0.09. Let f = -3.4 - -0.4. Which is the third smallest value? (a) s (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2461 (base 7) in base 13?\nAnswer: -562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5121852 is divided by 93?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -33 + 81. Let l be 0 + 11\/(44\/c). Let p(m) = -m**3 + 4*m**2 - 2*m + 1. Calculate p(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 496541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15838347 to the power of 1\/2, to the nearest integer?\nAnswer: 3980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 11:26 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 13*t**2 + 2*t - 2. Let z = 26 - 24. What is the units digit of j(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44201072 by -5.\nAnswer: 44201072\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1714 is divided by 1036?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-340)\/(-102)*6\/4. Let p = -8 + 3. Which is the biggest value? (a) g (b) -1\/6 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 2. Suppose -2*g - 84 = -314. Suppose -k*l + g = l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7890*h**4 - 8382.\nAnswer: 31560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in 13, 21, -61\/17, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/5 - (-14)\/35. Let z be -16 - (l + 4) - 1. What is the lowest common multiple of 2 and (-74)\/(-14) + 6\/z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26937 is divided by 230.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-2184)\/28)\/(-26)*3*30\/54\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 0 + (6037 - 4)*(1 - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 14 = -4*h, -2*g - 30 = 3*g - 3*h. Suppose -31*n = -6*n + 1799850. Let o be 2 - g\/((-9)\/n). Round o to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2370149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -270420*n - 5137998. Calculate o(-19).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -57, -119, -171, -207, -221, -207, -159?\n\"Answer: y**3 - y**2 - 66*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 + -1. Let u(c) = 5*c - 37. Let l be u(7). Let x be (l\/3)\/((-10)\/6). What is the second smallest value in -1, x, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + 63. Suppose 4*y - 11 = 101. What is the remainder when t is divided by y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 4692 + 1632. What are the prime factors of h?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/7))**13*(v**0)**(-14\/9)*v**4*v*v**1\/v*v*v**(-1\/7)*v**5\/v assuming v is positive.\nAnswer: v**(95\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 495923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 957116?\nAnswer: -957113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4747539306?\nAnswer: 2, 3, 17, 46544503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 10*l + 3. Give c(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(700)*-2 + -2*sqrt(700) + 4)**2.\nAnswer: 800*sqrt(7) + 70016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) -0.01 (c) -1 (d) -17.17 (e) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 289373 to the power of 1\/2, to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**3\/6 - 5*m**2\/2 - m. Let i be c(-7). Solve -p = i*p - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, -3\/2, -9.59?\nAnswer: -9.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*g = -8, 4*g + 16 = 5*y - 0*y. Factor y*c**2 + 1\/3*c + 0 - 1\/3*c**3.\nAnswer: -c*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7159 divided by -6.\nAnswer: -7159\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 681, 1332, 1975, 2610, 3237, 3856, 4467?\nAnswer: 5070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-4*m + 5*m + 0*m)*(674*m**3 + 8345 - 8345 + 4*m**4).\nAnswer: -4*m**5 - 674*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 15. Let f = 124 + -138. Let d = f + j. Let x(i) = -3*i - 3. What is x(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 5) to base 16\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5408444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*-1 + 1029 + 12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 1 - (8 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 52 - 64. Suppose b - 6 = -3*p. Let r(d) = d**3 - 5*d**2 + 5*d - 4. Let t be r(4). Solve -x + p - 4 = t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*j + 2 + 110 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by ((-15)\/(-9) + -1)*15\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 9:19 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5039639683.\nAnswer: 13, 387664591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6938*k**4 - 60917*k**2 wrt k.\nAnswer: 166512*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 300 - 109. Let r = o - 190.9. What is the second biggest value in 15, -0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 185*s - 3381 = -37*s + 5692 for s.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1537765 divided by 172\nAnswer: -1537765\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1269*x + 1374*x + 1280*x - 5215*x + 1289*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-196316)\/(-12))\/(2\/6*1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-25)\/(i\/(i**(-21)\/i)) assuming i is positive.\nAnswer: i**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.16 - -19. Let r = 0.66 + j. What is the closest to 0 in 3\/4, 1\/4, r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 7:58 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6090\/(-2499)*-14 + 2*(-22)\/374.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**2 + 13*t - 13*t in the form k*t + q + z*t**2 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2797?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1645 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 + 41760*s - 41760*s + 19 - 4*s**3 to the form b*s + h*s**3 + o + n*s**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwwwowwwwjjjowwj. Give prob of picking 2 w.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -13*c**2. Let u(g) = 13*g**2. Let f(l) = -6*o(l) - 7*u(l). Give f(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = -5*b + 62, 121 = 2*c - 3*b + 147 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(115\/828*-18).\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 2*n + 3*n**4 + (2*n - 10*n - 7*n)*(-2*n + 2*n + n**3).\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23961370, -23961355, -23961330, -23961295?\nAnswer: -23961250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*t + 1\/4*t**3 + 0 + 5\/2*t**2.\nAnswer: t**2*(t + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 725 + -467. Let y(z) = -z**2 - 20*z - 73. Calculate the remainder when p is divided by y(-11).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnnn when four letters picked without replacement from nxnxxnnxxxxnx.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, a: 2}. Give prob of picking 3 p and 1 a.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from waapwwapwaaapp. What is prob of picking 2 a and 1 p?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 477 and 301994.\nAnswer: 2717946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 1 = 89. Calculate the remainder when 38 is divided by 32\/6*(-33)\/p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3264 and -2?\nAnswer: 6528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21481*b + 6*b**3 - 21487*b - 21489*b + 64457*b - 15*b**3.\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -564.15 and 0.4?\nAnswer: -225.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 339379328 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10\/3*135\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110803558 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-174 + 49*w**2 + 174)*(-3 + 2 - 3).\nAnswer: -196*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1078 and 4501?\nAnswer: 693154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(19) + -4)**2 - (sqrt(19) - sqrt(209)\/sqrt(1331)).\nAnswer: -186*sqrt(19)\/11 + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnzz when four letters picked without replacement from zzznznz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 4*b - 16. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 12:36 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168281007?\nAnswer: 3, 313, 179213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**5\/20 + y**4\/24 - y**2. Let j be g(3). Calculate the highest common divisor of 45 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 28*r**3\/3 - 2*r**2 - 12*r + 166. Is 32 a factor of y(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 31. Suppose s - 62 = y*w, -s - 4*w + 26 = -30. Calculate the lowest common multiple of 11 and (s\/(-28) - -2) + 64\/7.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 3 (c) 2\/9 (d) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 43*v = -38*v - 32, 4*s + 30 = 4*v + 30 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 328 + -3968?\nAnswer: -3640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 380056852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -12*v - 2. Let u(p) = -p**3 - 13*p**2 - 16*p + 12. Let q be u(-12). Let o be (-8)\/q*3*5. What are the prime factors of d(o)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from csasa. What is prob of sequence sas?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 116*s**3 - 2*s**2 + 19*s - 37. List the prime factors of h(2).\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*m**6 - 10*m**5 + 920*m**2?\nAnswer: 2520*m**3 - 600*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 245 and 2300011?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 5 (c) 1\/4 (d) -4\/7 (e) -4 (f) -11229\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 11011111111000011011010000?\nAnswer: 11011111111000011011010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -950*j**2 + 284*j**2 + 4906 - 4906.\nAnswer: -666*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(4*v**5 + 2*v**5 - 5*v**5) + ((-v**4 - 2*v**4 - v**4)*(5*v - 3*v - 3*v) - v**5 + 0*v**5 + 0*v**5)*(-1 + 5 - 2).\nAnswer: 4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 82*g - 8. Let w(o) be the first derivative of -55*o**2\/2 + 5*o - 3396. Give 5*t(n) + 8*w(n).\nAnswer: -30*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 3 - (-5 - (-12 + -9 - -4)) - 73\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u - 44. Let g be m(0). Let f = g - -44. Let i(t) = -5*t**2 + 4*t**2 + f*t**2. Let s(p) = 7*p**2. Calculate s(i(r)).\nAnswer: 7*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y - 2. Let u be f(-2). Suppose -4*j = -5*p - 34, 3*p - j = -p - 25. Let n be (-2)\/(-3)*(u - p). Solve 0 = -0*k - n*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 times 34.5296\nAnswer: -44.88848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 80*r**2 + 351*r - 89. Determine m(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -2*l - q - 17, q - 18 = -4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -257, -1, 0, -15.7, -1\/5, 0.11, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 150 + -1622c8?\nAnswer: -162178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 2 - (-30 - (-151582)\/5415). Which is the second biggest value? (a) 0.3 (b) n (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 + 14 = -7*y + 35, 4*n + 1206*y = 1207*y - 28 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 1:24 AM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1639699740.\nAnswer: 2, 3, 5, 7, 31, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -23, 17, 12\/20209?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1187*u**2 + 0 - 2*u + 0 - u**3 - 1158*u**2 to l + q*u**2 + r*u**3 + v*u and give q.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 4. Suppose i - 99 = -8*i. Suppose 2*s - 3*s + 3*l - i = 0, l = 2*s - 3. Sort -1, s, n in decreasing order.\nAnswer: s, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a - 9. Let h be (-51)\/(-9) - -2*(-6)\/(-9). Give q(h).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1071)\/42*(-2)\/3. Let j(t) = -t + 7. Let o be j(3). Suppose 0 = 2*n - 0 - o. Solve -6 = v - 3*v - b, -5*v = n*b - g for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*a**2*d**2*w - 3*a**2*w + a*w - 12*d**4*w wrt d?\nAnswer: 30*a**2*d*w - 48*d**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 37140 divided by -4853\nAnswer: -37140\/4853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.09 + 0.01. Let w = 4.17 + -4. Let v = -0.07 + w. What is the closest to v in -5, -2\/11, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 1350 = -3*t, 1053 = -2*k - 2*k + 3*t. Let o = 269 + k. Put 6, o, 4 in descending order.\nAnswer: 6, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*r - 88, -5*k = -k + 5*r - 420. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3128*l - 3140*l + 48 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -62666 (base 8) to base 11\nAnswer: -18621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**4\/12 + 5*t**3\/6 + 159*t. Factor u(o).\nAnswer: o*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4441?\nAnswer: 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -279*(((-21)\/7)\/3)\/1. Solve w = -40*x + 9*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1004*6142.\nAnswer: 6166568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v - 254 + 0*v + 260. Determine i(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*c + 3*c - 6, 0 = w - 5*c - 2. Let a = 36 + -29. Suppose 5*q + 20 = -2*f, 3*f - 13 - a = 5*q. Solve 0 = -w*z - g - 8, f = g - 4*g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*m)*((0*m - 3*m + 5*m)*(-1 - m + 1) - 922 + 922 - 168*m**2).\nAnswer: -340*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*m - 3*g = -8, -m = -g. Let u = -445\/1323 + 4\/1323. Let i = 6 + -2. Which is the closest to i? (a) 3 (b) u (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - -3020301?\nAnswer: 3020320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -25*s**3 + 3*s + 2. Let r be g(-1). Let w(x) = x**3 + 3*x**2 - x + 2. Let f be w(-3). Suppose 0 = f*n + 4 - r. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -93 or 246?\nAnswer: 246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + 4*d + 7, -2*d = -686*u + 680*u - 34 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16562197, -16562185, -16562173, -16562161, -16562149, -16562137?\n\"Answer: 12*m - 16562209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2732545950 by -5.\nAnswer: -546509190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 108900892 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*x + 2*x. Let y(a) = x + 5 - 5 - a - 7. Give y(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-153 - -110) + 2\/1 + 1 + (2 - 2).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -269499, -539002, -808505, -1078008?\nAnswer: -1347511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 >= 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, u: 5, o: 1, b: 1}. Give prob of sequence udbu.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(13) + -2*sqrt(1573))*-3 + (sqrt(39) + 2*sqrt(39) - sqrt(39))\/sqrt(3) + 3))**2.\nAnswer: 3510*sqrt(13) + 494406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r + 12*r - 55. Let h(g) = -g**3 + 10*g**2 + 5*g + 66. Let d be h(r). Solve -9 = 2*o + 5*w - 0, -2*o + 5*w + 1 = d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 176 = -4*j, -j = -2*q + j + 88. Calculate the greatest common divisor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-7)*u**(-8)*(u**(-3\/4))**16 assuming u is positive.\nAnswer: u**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.09 - 25.91. Let f = u - -26.2. Put -2\/5, 3, f in increasing order.\nAnswer: -2\/5, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**4\/24 + k**2 + 2. Let v(b) be the second derivative of y(b). Let l(p) = 2*p. What is l(v(w))?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 972135 is divided by 485877?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330404007?\nAnswer: 3, 263, 418763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 12*g - 10. Calculate the least common multiple of 22 and n(14).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 14*h**2 + 5*h + 7. List the prime factors of o(14).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, v: 1, r: 4, w: 2, m: 6}. Give prob of picking 1 w and 1 n.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 3808?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1647938 * -1\nAnswer: 1647938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**3 - 27*t**2 - 125*t - 564. What is the tens digit of c(32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 28*f - 136. Suppose 0 = 2*a + u - 96, -3*u - 292 = -4*a - 90. Calculate the remainder when a is divided by x(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(8) - (2 + -3*sqrt(2)) - ((sqrt(1800) + (sqrt(1800) + (sqrt(1800) - (sqrt(1800) + 1*sqrt(1800)) - sqrt(1800)))*3)**2 + sqrt(1800) - sqrt(1800)).\nAnswer: -7202 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, 15, -0.06, 13396, -0.1?\nAnswer: 13396","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -30733 less than 543?\nAnswer: 31276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-4)\/(-12))\/(2\/8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t**3 + 5*t**2 - 8*t - 6. Let c = -92 - -86. Let d(f) = -6*f**3 + 6*f**2 - 9*f - 7. What is c*d(x) + 7*h(x)?\nAnswer: x**3 - x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/17, -5, -0.4, -23\/10, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/24 + 26\/8 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 14883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1913570*l**5 - 73901*l + 8?\nAnswer: -38271400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/1 + -64 + 73?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 - (23 - -1)) + (-38 - 1).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 - 7*x + 28. Calculate the remainder when 1478 is divided by a(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11\/11)\/((-2)\/(-6)*1). Let k(z) be the second derivative of 0 + 0*z**2 + 0*z**3 + 1\/4*z**4 - x*z. Let q(u) = -u. Determine k(q(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 17 + 19 = 0. Calculate the highest common divisor of x and 288.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -162353 + -453?\nAnswer: -163136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4) + (-14)\/42. Let q = 2.383 + -0.383. Which is the nearest to q? (a) -0.5 (b) d (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2209219447 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -130.4 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 767.176ng to tonnes.\nAnswer: 0.000000000000767176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 0 - (19 + (22 - -12))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 3:21 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130 and (-80 - (3 + -5))*(-30)\/12?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, e: 3, n: 13}. What is prob of picking 3 n?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217610 is divided by 1061?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 111\/(-74)*(32\/492)\/4*-2.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5820, 2, -65 in decreasing order.\nAnswer: 2, 1, -65, -5820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f + 4. Let m(r) = -4*r**2. What is m(h(s))?\nAnswer: -16*s**2 + 64*s - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 4*h + 3*c - 24, 5*h = -3*c + 33. Suppose 8*f - h = 7*f. What is the remainder when 15 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3574113 - 3310798\nAnswer: -6884911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/9, 1\/2, -3048\/7, -4 in ascending order.\nAnswer: -3048\/7, -4, -2\/9, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7095004 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 - 39*o + 175. Let m be f(7). Solve m = 2*l + 4*h + 2, 4*l - 34*h + 31*h - 7 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i + 17 - 11 + i**2 - 10. Determine g(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84128927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, i: 1, o: 2, g: 4}. Give prob of sequence ogi.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 786160?\nAnswer: -786160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 12. Let w(o) = -o - 19 + 1 + 4 + 14. Determine p(w(d)).\nAnswer: d**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -1925652*p + 2. Let q(b) = -2*b. Determine q(w(m)).\nAnswer: 3851304*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27851158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, p: 2, f: 2, c: 1, t: 4}. What is prob of picking 1 p, 2 t, and 1 f?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -4 - (1 + 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -8.2. Let d = s - -18.8. Let n = -16.9989 + d. Round n to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 27 - 7. Suppose -2*d - 4 = w, -d + 7 = -2*w + h*w. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 3. Let i be m(-2). Let t = -985 - -986. Let p = -6 + 4. Sort i, -6, t, p in descending order.\nAnswer: t, p, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 540, 1071, 1602, 2133?\nAnswer: 2664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxd when three letters picked without replacement from {x: 5, g: 1, d: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -41 divided by -41\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**5 - 236*v**4 + 1096*v**3 + 5144*v**2 - 24900*v + 18900 = 0. What is v?\nAnswer: -63, -5, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/16 and -107\/50?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 915558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2255 + -0.55674. What is s rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 13*n. Let i(a) = 9*a**2 + 5. Let f(j) be the first derivative of -4*j**3\/3 - 2*j - 1. Let v(t) = 5*f(t) + 2*i(t). What is h(v(c))?\nAnswer: -26*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 564676 divided by -7?\nAnswer: -80668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*z - 313*z + 676 - 332*z + 978*z.\nAnswer: 2*z + 676","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0061371 to 4 decimal places.\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -107 + -15 + (9 - (-67 + 31)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/60264 and -107\/120528.\nAnswer: 120528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1091, -2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -140*w - 7907. Let h be f(-63). Calculate the highest common divisor of h and 249.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-17)*v)\/(v*v\/v**(-2\/3))*(v*v*v**(-1)*v)**50)**31 assuming v is positive.\nAnswer: v**(7657\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -52, -136, -276, -472, -724, -1032, -1396?\n\"Answer: -28*g**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -808 and 0.3.\nAnswer: -807.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -3, 1, -42, -4, 187 in descending order.\nAnswer: 187, 4, 1, -2, -3, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27 - 15473?\nAnswer: -15522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-65))\/((-2)\/5). Let n = 489.3 + 3.7. Let w = n + -490. What is the second smallest value in 16, w, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44.7 + 44.6757. Let j = 0.2716 - g. Let h = j + -0.29. Round h to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a gram in milligrams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**5 - 3*d**4 + 4*d**2 - 2*d - 2. Let y(j) = -13*j**5 + 12*j**4 - 16*j**2 + 9*j + 9. Let c(s) = 18*h(s) + 4*y(s). Solve c(v) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*c + 5*c + 3*c - 5*c**4 - 16889*c**3 - 7*c**2 + 16891*c**3 + 2 to p*c**2 + b*c**4 + z + x*c**3 + d*c and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = y + 5*h, -2*h + 7*h - 20 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**2\/3 - 302*v\/3 - 11795\/3 = 0.\nAnswer: -35, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -1272.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 o, and 1 s when three letters picked without replacement from {l: 2, o: 5, s: 3, w: 1, q: 1, r: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bobo when four letters picked without replacement from bovssbsssbobv.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 8. Let p(t) = 3*t**2 + 12*t - 3. Let m be p(-7). Suppose 11*c - c + m = 0. Calculate a(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 16*u - 35*u. Let d(c) = c**3 + 6*c**2 + 10*c + 117. What is d(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 + 1698 + 1\/((-2)\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + k - 6*k)*(-4*k + 2*k + 3*k) + (4*k - 4*k + 10*k)*(0 + 0 - k) - k**2 + 1 - 1.\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 12. Let l = 0 + u. Let x(h) = 50001*h + 8. Let c be x(l). What is c rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327219643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/4)\/((-189)\/108) - (-4)\/(-14). Let y = 0.85 - 1. Let r = y - -0.85. What is the closest to 0 in s, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.28 (b) 0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 11*u**2 + u - 12. Let i be s(11). Sort -3, -16, i in decreasing order.\nAnswer: i, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 961431.8 millilitres in litres?\nAnswer: 961.4318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -25 + 27 - 2\/(-2)*1. Solve 2*i - k - 8 = 0, i - 4*k - h = -3*k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**9\/432 + 23*o**8\/1344 + 25*o**7\/504 + o**6\/16 + 55*o**4\/4 + 172*o. Let n(a) be the third derivative of r(a). Factor n(m).\nAnswer: 5*m*(m + 1)**2*(7*m + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/17 - -28\/51. Let a = 3 + -3.4. Let y = -0.2 - a. What is the closest to w in -3, y, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*z + 164*z = -2*y + 10, 4*z + 5*y = 25 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3490860 divided by -10?\nAnswer: 349086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-21)\/6) - 0. Let l = -1.9 + -3.1. What is the second biggest value in r, l, 1\/6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (3 - 4) - (-1 + 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 73*f = -71*f - 368220, -9*f - 91979 = d. Round d to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(-5) - 2\/((-30)\/(-9))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 819 = -135*a + 2709 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -45 (b) 4 (c) 2\/17 (d) 1\/4 (e) 2.83\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2705214 is divided by 28173?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 94368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l = 2*n - 7*l + 17, 4*l = -4*n - 16 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence etts when four letters picked without replacement from {t: 1, s: 5, e: 2, n: 8}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 2839 in ascending order.\nAnswer: -3, 0, 2839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 s when three letters picked without replacement from sjsssjvjjssvssj.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 14*r**4 + 236*r**3 + 386*r**2 - 60*r = 0.\nAnswer: -15, -2, 0, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -61428.46 to the nearest ten.\nAnswer: -61430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a + 5. Let q be n(0). Suppose 3*f - q*d = 4*f + 17, f + 13 = -4*d. Suppose -46 = -v - 3*x, x - f + 6 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 1. Let y(x) = 2*x - 4. Suppose 3*r + 1 = 7. Let t be (3\/r)\/(1\/(-2)). Determine t*v(i) - y(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 1734*u - 1734*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 + 5 - f + 8*f + 0*f - f**2. Let u(s) = s + 2. Suppose 0 = -2*h, 27 = -4*l - 4*h - 9. Let m be u(l). Calculate y(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -137496*v + 137496*v - 465*v**2 - 3249*v**2 to the form a*v + w*v**2 + b and give w.\nAnswer: -3714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7a98 - -291?\nAnswer: -7807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 71438*b**4*i + b**3*i + 591*i - 67 wrt b?\nAnswer: 285752*b**3*i + 3*b**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16316135*w**4 + 15621803*w.\nAnswer: -195793620*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/14 - 4) + 2\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 10*x**3 - 8*x**2 - 8*x - 17. Let z be j(-7). Let q = 6286 + z. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8903298.\nAnswer: 2, 3, 1483883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 6*p**2 - 17*p + 1. Let t be m(2). Let d(k) = -1. Let v(h) = -4*h - 7. Let y(i) = 2*i + 4. Let c(b) = 2*v(b) + 5*y(b). What is t*c(u) - 5*d(u)?\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*r - 2*r**2 + 12*r)*(-r - r + 4*r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*l, 0*l - 11 = -5*y + 4*l. Suppose -12 = -y*t + 3. Suppose 2*z - 1 = t. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/(t**(-1)\/t)*t)\/t)**(-2\/73)\/(t*(t\/(t*t*t**0))\/t)**(-13))**(-37\/4) assuming t is positive.\nAnswer: t**(35409\/292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -28170 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjzmz. Give prob of sequence zj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 2505455?\nAnswer: 2505450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efffr. What is prob of picking 1 r and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/8 + 9435*z\/8.\nAnswer: z*(z + 9435)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104785 by -95.\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 195*m**2 - 380*m + 21. Calculate p(193).\nAnswer: 1179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 20 (b) 0.5 (c) -1 (d) 0.7308 (e) -4 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -77 + 8?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 147 and 3.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -882 or -877?\nAnswer: -882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**3 - w**2 + 3*w - 4. Let s(l) = -6*l**3 + 2*l**2 - 8*l + 11. Let j(u) = 8*n(u) + 3*s(u). What is the units digit of j(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -10, 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -253 and -0.684368.\nAnswer: -253.684368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/12 and ((-5)\/(-24))\/((-2)\/100).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -443 + 445. Factor -3*d**f - 2*d**2 + 31*d - 4571 - 9867 + 393 + 499*d.\nAnswer: -5*(d - 53)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-91)\/21 - -3)\/(13\/468 + 0).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 1353*u - 1358*u + 67 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-1)*s**(-5\/4)*(s**7*s)\/((s*s\/(s**(1\/4)\/s))\/s)*(s\/(s\/(s*s\/(s**(-1)*s)*s))*s)**(-38)\/(s**(-1)\/s**(-1)) assuming s is positive.\nAnswer: s**(-147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (8 + 2 - 17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 24 - 27 = -p, 4*z - 68 = 2*p. Suppose 13 - z = -2*s. Let r(t) = -t + 1. Calculate r(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**2 + 5*z + 13. Let k(i) = i**3 + 8*i**2 + 14*i + 38. Calculate -8*g(q) + 3*k(q).\nAnswer: 3*q**3 + 2*q + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 877270.6ml in litres?\nAnswer: 877.2706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s + 5. Let z be b(7). Let y = z - -43. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46056 or -46059?\nAnswer: -46056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8597 - 8707. Which is the third smallest value? (a) -2\/9 (b) h (c) -1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528217905 a multiple of 3162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44\/102189 or 0?\nAnswer: -44\/102189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (128\/14)\/2 - 123\/(-287). Solve m*h + 3*h - 32 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-9)*(-1818)\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 less than 0.018?\nAnswer: -10.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3723.5*0.1261.\nAnswer: 469.53335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -22. Let i = x - -13. Let n(l) = l**3 - 5*l**2 - 5*l - 5. Let w be n(i). Which is greater: -2\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87*p + 15 - 37 + 22)*((-p + 2 - 2)*(-37 + 11 - 35) + 3*p + 2*p - 6*p + (-3 + 2 + 3)*(-4 + 2*p + 4)).\nAnswer: -5568*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d*(d*d**(-2\/3))\/d))**(-1\/31))**(-25))**13)**(-26) assuming d is positive.\nAnswer: d**(-16900\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -2*z - 6*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (53 - 77)*114\/(-9). Let d be 21 - (3 - 3 - (-1 - 1)). Calculate the greatest common divisor of t and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1155 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + sqrt(153) + sqrt(17) + sqrt(17) + sqrt(17) + (1 + sqrt(17))**2 + -5 + 5 + sqrt(17) + 2 + -1.\nAnswer: 17 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 260918027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 5*p + 2. Suppose -5*o + 4 = -6. Suppose -5*x + 76 = -2*u, -o*x + 0*u + 19 = 3*u. Calculate the smallest common multiple of d(-6) and x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2590, -5466, -8340, -11212, -14082, -16950, -19816?\n\"Answer: w**2 - 2879*w + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7)**(-1\/2) assuming w is positive.\nAnswer: w**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -111575, -111578, -111581, -111584, -111587?\n\"Answer: -3*c - 111572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 35*f**3 + 6*f**2 + 1112*f - 18. Let u(w) = w**3 - w - 2. Let c(o) = -2*d(o) + 18*u(o). What is the second derivative of c(g) wrt g?\nAnswer: -312*g - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380 + 3180 = -5*l. Find the common denominator of 24\/10*l\/(-63) and 29\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 282.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = -8*g + 70. Let d(x) be the third derivative of 1\/15*x**g + 0*x - 1\/210*x**7 - 10*x**2 + 0*x**6 + 0*x**3 + 0*x**4 + 0. Solve d(y) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.22414 millennia to centuries.\nAnswer: 232.2414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39991691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 10*z - 4 + 0 - 8*z. Let c(w) be the first derivative of -3*w**2 + 11*w - 7. Let d = 0 - 8. Calculate d*k(x) - 3*c(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*d + 320*d - 170*d + 2*d**3.\nAnswer: 2*d**3 - 20*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 105 + -70. Calculate the remainder when c is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 - 28. Suppose a - 2*a + 2*x = -17, -3*x - 57 = -5*a. Is 6\/f - (-997)\/a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -14*g**2 - 12*g - 23. Let l(s) = -5*s**2 - 4*s - 8. Let y(v) = 6*d(v) - 17*l(v). Let j be y(5). Differentiate 2*z - 4 + 6 - j with respect to z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10693?\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40.5 - -41. Let d be 6\/2*4\/6. Let o be 22\/6 - d\/3. What is the closest to 2\/23 in 2\/9, o, w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2906 (base 10) to base 8.\nAnswer: -5532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 0*x + x - 407, 0 = -d - x + 79. What are the prime factors of d?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -436 - -381.9. Let c = w + 49. Let i = -5 - c. What is the closest to i in -1, -0.1, -4\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91\/288 - -3\/32. What is the closest to 0.4 in -1, -3\/2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 87*u - 785. Let r be i(9). Put 1, 1\/4, 3, r in decreasing order.\nAnswer: 3, 1, 1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20805 divided by -1387\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 37. Let w = 19 + x. What is the nearest to -2\/7 in w, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 3 + 3\/4*c**4 - 1\/3*c**3 + 0*c**2 + 0*c. Find the third derivative of a(f) wrt f.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/151 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 12*f**2 - 8816*f - 119690. Give s(748).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47602715581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 448 = -20*i. Calculate the greatest common divisor of 416 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011110 + -10?\nAnswer: -1000100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 4*t - 4*v, -743*t - 5*v - 8 = -740*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6924580700 rounded to the nearest one million?\nAnswer: -6925000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 - 65 + 109*l**2.\nAnswer: 109*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 8 = 0, 2*r + g - 1 = 3*r. Suppose -2*q + b + r = 0, 0 = 5*q - 2*b + 5 - 15. Solve f = -q*f + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21477473.\nAnswer: 199, 107927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*g = w + 91*g - 20, 5*w - 2*g = 35 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5832489 at least -5832520?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 101, 514, 1253, 2360, 3877, 5846, 8309, 11308?\n\"Answer: 7*a**3 + 121*a**2 + a - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/2 + 65\/26. Is 1\/149 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*q**2*u**2 + 9*q**2*u + 12*q**2 - 3*q - 2*u**2 + 37 wrt u.\nAnswer: -28*q**2*u + 9*q**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 142894.\nAnswer: 6430230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9952 by -8.\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + w = 64, 8 = 4*t - 2*t - 4*w. Let i be (t\/20)\/((-2)\/(-10)). Let l = i + 1. What is the remainder when l is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -93 - 323c336?\nAnswer: -323c3c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9, w: 9}. What is prob of picking 4 w?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 - (-3 + 1)) + 2 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -502.67 + -2499191824.\nAnswer: -2499192326.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 33\/5 of a kilogram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(36)\/(sqrt(9) + (sqrt(36) - sqrt(9)))))**2 + 0.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10301 - 10?\nAnswer: -10311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-219*4)\/((-2478)\/(-140) - 18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5887 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmddvdm. Give prob of picking 2 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 11:44 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -648 - 26*y + 648 - y + 0 + 0 + (-2*y + 5 - 5)*(5 - 10 - 23).\nAnswer: 29*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -173922, -174132, -174666, -175686, -177354?\n\"Answer: -27*i**3 - 21*i - 173874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(c - 2*c + 2*c) + (-33*c - 18*c + 12*c)*(-1 + 6 - 3).\nAnswer: -77*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655410017?\nAnswer: 71, 433, 21319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3053*t - 3051*t + 36 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 59, -3\/4 in ascending order.\nAnswer: -6, -3\/4, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7 + 0.2196130895106?\nAnswer: -2.4803869104894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2618 (base 10) to base 15.\nAnswer: b98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 7. Find the third derivative of 0*n**i + n**6 + n**2 + n**3 - n**3 wrt n.\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*w = -2675, -20*s + 877 = -19*s - 3*w. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - -38 - (-7 - -9 - -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-4*2*sqrt(1458))\/(sqrt(729) - (2*(sqrt(729)*-2 - sqrt(729)) + sqrt(729)) - sqrt(729)))**2.\nAnswer: 203\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 0, 0 = -5*t - 2*o + 410 - 65. List the prime factors of t.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r**2 - 884*r + 220 = 0.\nAnswer: 1\/4, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 348786083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 11*i - 88. Let m(c) = -c. Let r(q) = -4*m(q) + u(q). Let v be r(6). Solve -3*n + v = 2*g, n + 2*g = -3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b68 (base 14) in base 7?\nAnswer: -20361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.049 + -0.075. Let d = s - -0.526. What is the third smallest value in -2, -0.4, d, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 27*x + 18. Let b be s(-25). Let i = 70 - b. What is the derivative of 7 - 11*t**2 + 7*t**i - 10*t**2 wrt t?\nAnswer: -28*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a century in years?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 3*t**2 + 4*t. Let f be s(3). Suppose 12 = 4*k - f. Suppose 8*o = 3*o - 5*d + 5, -2*d = k. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2. Let t(i) = -57307617*i. What is d(t(w))?\nAnswer: 3284162966218689*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*o = 60. Suppose 0 = 4*z + o - 2. Let x = z - -13. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 2*g - 8. Let p be n(5). What is the derivative of -10*z**4 - 6*z**2 - 3*z**3 + 6*z**2 + p*z**4 + 49 wrt z?\nAnswer: -12*z**3 - 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99850 times -0.1?\nAnswer: -9985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -90717 - -3721197\/41. Which is greater: w or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, v: 3, l: 3, s: 2}. Give prob of sequence vlv.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -8 + -12 + 19 + 20?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 3.4. Suppose -12 = -4*g + 16. Which is the second biggest value? (a) -1\/3 (b) t (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-15\/7)*q)\/q**(-11))\/(q**(2\/19)\/(q*q**(-17))))**(-12) assuming q is positive.\nAnswer: q**(8376\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and -84.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4264820 = 669*n - 739*n. What is the thousands digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26037481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 517.4 + -522. What is the nearest to 1\/2 in n, 0.06, 2\/13, -0.3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -6020)*(5 + -597 + -8). What is m rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a09 - -687?\nAnswer: -1362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 4*m. Let b = 268 + -264. Give y(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4239762 = 49*s - 4243976 for s.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -181 - -159. Let a be (t\/(-385))\/(2\/10). Let r(x) = -x**2 + 5*x + 7. Let o be r(5). What is the nearest to 0.2 in 2\/13, o, a?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65694*d**2*j**2 - 81040*d**2*j + 10*d*j**2 + 701*d*j + 9*j**5 wrt j?\nAnswer: -131388*d**2 + 20*d + 180*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(4) - (sqrt(576) - (sqrt(576) - -3*sqrt(576)))).\nAnswer: sqrt(17)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.5 - -5. Let s = 3.5 + u. Let r = 4.00065 - s. Round r to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*d - 45*d - 6123 = 81*d + 10797 for d.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 2 + 4 + (0 - -5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 215528570 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s**2 + 7*s - 7. Let j be 1\/(-1*1\/7). Suppose -9*w - 30 = 6*w. Let v(n) = 2*n**2 - 2*n + 2. Determine j*v(m) + w*d(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5619474 divided by -6.\nAnswer: 936579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/6 + 9 - 0. Let q be (-2)\/(-8) + (-30)\/(-8). What is the third derivative of -3*o**3 - q*o**3 - o**3 - y*o**2 wrt o?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - -0.3. Let r = w - 0.2. Let p be (-18)\/15*(33\/9 - 7). Which is the nearest to -1? (a) p (b) r (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-4))\/(6\/12). Let m be 25\/5 + b + -2. Find c, given that 5 - 2*c - 2*c**5 - 4 - 3 + m*c**3 - 4*c**2 + 4 + 2*c**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -14 (b) 152 (c) -2\/3 (d) 1 (e) 0 (f) -1 (g) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(340)\/(sqrt(40)\/sqrt(4)))\/(sqrt(288) + sqrt(288)*1).\nAnswer: 5*sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1 (b) -22.8 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -2*d**6\/15 - 5*d**4\/6 - 8*d**2 + 42*d. Differentiate r(k) with respect to k.\nAnswer: -16*k**3 - 20*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**2 - 11566*p - 4267176 = 0.\nAnswer: -348, 6131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 166557610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -119137, -127619, -136101, -144583?\n\"Answer: -8482*f - 110655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -516336 (base 11) to base 8.\nAnswer: -3121574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + (-1064)\/(-76))\/(4\/(-2)*1\/(-16))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2577*s**2 + 39*s - 2578*s**2 - 40*s + s**3. Let j(o) = -8*o**3 + 3*o**2 + 3*o + 2. Calculate 3*f(g) + j(g).\nAnswer: -5*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -753673 and -178.9.\nAnswer: -753851.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 0*x**2 + 17\/2*x**4 + 17*x + 46 + 0*x**3. Differentiate d(c) with respect to c.\nAnswer: 102*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**3\/3 - 34*g**2\/3 = 0. Calculate g.\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.8 + -1.5. Let h be 38 + (-3 + 2)*3. Let t be (-4)\/(-30) - (-7)\/h. What is the second biggest value in t, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 58571.19 grams?\nAnswer: 58.57119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 118*n - 526 - 654 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*c = -190, 4*x + 4*c - 60 = 120. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -5024.77.\nAnswer: -1004.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r*u**3 + 4*r*u**2 + 6*r*u + 138*u**6 + 4*u**2 wrt u?\nAnswer: -6*r + 16560*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 186135300 divided by 275756\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -110*k + 33*k + 37*k + 38*k. Let w(s) be the third derivative of -s**5\/30 - s**3\/6 - 2*s**2. Give w(z(f)).\nAnswer: -8*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1315 (base 9) to base 12.\nAnswer: -6a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knn when three letters picked without replacement from knknnknn?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -15*t**2 + 7*t + 1. Let c(k) = 22*k**2 - 10*k - 1. What is -7*a(q) - 5*c(q)?\nAnswer: -5*q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**5 - 8088*q**4 - 187836*q**3 + 612006*q**2 - 628167*q + 212082 = 0.\nAnswer: -26, 1, 2719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7067652673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39426247 + -39426249.29999176. Let q = s - -2.3. What is q rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 1631*o + 4165. Calculate s(-3).\nAnswer: -728","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - 2*p + 3. Let d = 70 - 65. Let x = -9 - -17. Suppose -d*k = -k - x. Calculate z(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + (-21)\/(-6))*24\/15. Suppose m = 4*z + 20. Let f = -9 - -16. What is the second smallest value in -4\/5, f, z?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrrpjjuuuju. Give prob of sequence jp.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -147, -3, -23, 11, -1, 5.\nAnswer: -147, -23, -3, -1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3456 is divided by 214?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1795, 0.1, 4.\nAnswer: 0.1, 4, 1795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16703579 a multiple of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1422\/5*q + 1\/5*q**2 + 505521\/5.\nAnswer: (q - 711)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/(-1*(-3)\/(-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*l**3 + 4*l**3 - 7*l**3 + 2*l.\nAnswer: -32*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, b: 6}. What is prob of sequence bb?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 1. Let i(p) = 6*p**3 - 2*p**2 + 0*p**3 - 14*p + 7 + 3. Let x be (-1 - (-14)\/2)*12\/9. Let w(m) = x*k(m) - i(m). Solve w(a) = 0 for a.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/18 - (-50)\/18. Suppose z = -k - 4. Let y(u) = -6*u**2 - 7*u - 7. Let t(o) = 5*o**2 + 6*o + 6. Give k*t(f) - 6*y(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 plus 427529910.2?\nAnswer: 427530331.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h**2 + 44 - 10862*h + 10842*h + 4*h**2. Let j be q(-22). Solve -2*r - 6 = -j*d + d, 0 = r + 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22178597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 26?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*j + 30*j = 20*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -205451266 (base 7) in base 16?\nAnswer: -ba1ec1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -174.9 from -1893746238.\nAnswer: -1893746063.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 16 * 0.019\nAnswer: 0.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i - 2*i + 0*i + (0*i - 4*i + 3*i)*(-3 + 2 + 0) - i + 0*i + 2*i + 0*i + 0*i - 4*i + 0*i - 3*i + i + 0 + 0 - 2*i to the form p + w*i and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166789008.\nAnswer: 2, 3, 23, 50359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*f - 3*x + 10, -4*x + 14 = f. Let r(d) = 141*d**2 - d - 1. Is r(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 267086048 to the power of 1\/2, to the nearest integer?\nAnswer: 16343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-72)\/(90\/10))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 2177, 0 in increasing order.\nAnswer: 0, 3, 5, 2177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**3 - 3*r**2 - 6*r + 12. What is the hundreds digit of g(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 628 = -0*c - 5*c, 4*b - c = 628. Suppose 7*h + 10 = b. Suppose -17*i - 240 = -21*i. What is the remainder when i is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 5*i, -5*t = -14*i + 15*i - 30. Suppose 0 = 4*a - 8, -o + i*o + a - 3734 = 0. List the prime factors of o.\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 13*g**6\/72 + 6*g**3 + 32*g**2. Let y(v) be the first derivative of z(v). Let a(i) = 2*i. Calculate a(y(x)).\nAnswer: 130*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 731 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w**3 - 12*w**3 + 3*w**3)*(41 + 44 + 7).\nAnswer: -276*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, 10.2, -5, -2\/7, 0.071?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*m - 21 = 10, 0 = -2*g - 3*m + 27. Let j = -7 - -17. Suppose -v = -g*v + j. Solve 14 = 2*d + 6, v*h = d - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**6*r)*r*r**(-2\/3))**26*(((((r**(-6)*r)\/r)\/r)\/r)\/r*((r\/(r*r\/(r**5*r)*r)*r)\/r)\/r)\/(r**3*r**2) assuming r is positive.\nAnswer: r**(-475\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 146 - -24017?\nAnswer: 24163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/4 + 0)*16\/(-6). Solve z + 3*z - 16 = v*x, 5*x - 8 = -2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 921200, 3684804, 8290812, 14739224, 23030040, 33163260, 45138884?\nAnswer: 58956912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7428 less than -0.4?\nAnswer: 7427.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2 - 7 = 0. What is the hundreds digit of w*(0 - 168\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 80*z + 8. Does 22 divide f(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 47*w**3 - 19*w**3 + 450 - 232*w**2 + 72*w**3 + 232*w**2 wrt w.\nAnswer: 300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -935, -950, -969, -992, -1019, -1050?\nAnswer: -1085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfi when three letters picked without replacement from sfshcscssicihshh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, u: 1, y: 1, r: 1, c: 1, m: 1}. What is prob of picking 1 m and 1 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1347 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3878426.\nAnswer: 3878426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**5\/10 - a**4\/12 + a**3\/3 - a**2\/2 + a. Let k(d) = -d**3 - 7*d**2 - 8*d + 12. Let f be k(-5). What is w(f)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20016 + 28158. Let d be 7\/(-49) - r\/(-7). Suppose 0 = 4*l - 5391 + d. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/117 and -59\/174044?\nAnswer: 1566396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 287, -0.3, -1\/4, -23\/9, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a hour in milliseconds?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -143290, -143361, -143432, -143503, -143574?\n\"Answer: -71*y - 143219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/11, 1\/74, 15, 0.054, -4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 384?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 2\/13 (c) -2 (d) -14\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29105799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.9 - 5.3. Which is the nearest to 9? (a) 0 (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20074 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1620.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 73.\nAnswer: -511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.309 (c) -4 (d) -13 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -1\/40*m**6 - 3\/20*m**5 - 2*m**2 - 1\/2*m**3 - 3\/8*m**4 + 0*m + 4. Let i(d) be the second derivative of r(d). Factor i(b).\nAnswer: -3*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, g: 11, s: 3, v: 4}. What is prob of picking 3 s?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -2*b + 155. Let d = b + 19. Let h(a) = -4*a + 19. Is 11 a factor of h(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 5, 1\/5, 2\/19, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29597404*d = -29597363*d - 2460 for d.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10653.77 + 10702. Let q = -48 + h. What is q rounded to two decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*c + 5 = 82*c. Solve 4*d = 4*u + 8, -2*u - 21 + 3 = c*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -5.7. Let x = 113\/14 + -60\/7. Which is the third biggest value? (a) q (b) -4 (c) 4 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 - 4*k**2 - 222*k**3 + 4*k**2 - 4*k**2 - 40*k**3 as o*k + j + a*k**3 + n*k**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92154?\nAnswer: 2, 3, 15359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-259 - 4*g**2 + 259)*(-4*g**2 - 2*g**2 + 4*g**2 + 0*g**2 + 3*g**2 - 5*g**2 + (3*g - 4*g + 2*g)*(3*g + 0*g - 2*g) - 5*g**2 + 2*g**2 + g**2).\nAnswer: 20*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, u: 1, z: 3, c: 3}. Give prob of picking 1 q, 1 c, and 1 u.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cyc when three letters picked without replacement from {c: 7, g: 2, w: 6, b: 2, y: 1}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 + 87. Calculate the smallest common multiple of o and 18.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 9 = -4*q, 3*z + 8*q - 3 = 6*q. Let h(m) = 2*m + m - 2*m. What is the lowest common multiple of 7 and h(z)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -6\/5, -206.9, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17403 is divided by 363?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t\/(t\/(t**0*t)))*t)\/((t*t\/(t\/(t\/((t\/((t*t**(-2\/7)*t*t)\/t)*t*t*t)\/t*t)*t))*t)\/t))\/(t**(-2\/3)\/t**(-3\/4)))\/(t**(-8\/11))**34 assuming t is positive.\nAnswer: t**(23959\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -0*t - 2*v + 44, -4*v = -4130*t + 4128*t - 22 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**3 + 17*i**2 - 6*i - 2. Let z(p) = -p**3 + 21*p**2 - 8*p - 3. Let o(q) = -3*t(q) + 2*z(q). Calculate o(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2767 + -0.2767. Which is the closest to w? (a) 8 (b) 6 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -43 in 4, 1, -184, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35.6062276 + -0.4049126. Let w = 1.202365 - u. Let n = -34 - w. Round n to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18745581823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016553 to 4 dps.\nAnswer: -0.0166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18047563 to the power of 1\/2, to the nearest integer?\nAnswer: 4248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 35\/15 + 2\/(-1). Let n(r) be the first derivative of 0*r + 0*r**3 + 0*r**2 + 0*r**5 - 1 + 1\/2*r**4 - c*r**6. Suppose n(g) = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9402082 millennia in years?\nAnswer: 940.2082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.59 + 56.41. Suppose -x - 4*t - 25 = 0, 3*x = -66*t + 61*t - 33. Which is smaller: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/77768)\/((-3)\/(-9)). Let k = -116165995\/116652 + d. Let l = k - -999. Calculate the common denominator of 49\/4 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + sqrt(7) + sqrt(14)\/sqrt(2) + 1.\nAnswer: 4 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-21)\/(-6)*3\/21. Let a = 0.05 - 0.35. Let m = -0.576 + 0.176. Sort h, a, m in ascending order.\nAnswer: m, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(160\/(-24)))\/((-36)\/80)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -3. Let o = -14 + t. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/15 + (-1359)\/(-5). Suppose 2*p - 42 = 5*t, -12*p - t + 105 = -7*p. Let v = u - p. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from ixxiixrrrnnerenxuxx.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (8 - -3) - (7 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 924 divided by 21?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 15 (b) 1\/2 (c) 38 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -162 and 300.\nAnswer: -48600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 155 - 126. Let c = -32586665.0000086 + 32586694. Let y = c - q. Round y to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2144046186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-3))\/((-10)\/(-45)). Let v(t) = -1 + b - 43*t + 45*t. What is v(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7101970 and 38573?\nAnswer: 2269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (155*x**3 - 43*x**4 - 155*x**3)*(-22*x - 13*x + 10*x).\nAnswer: 1075*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 1 = -3. Sort z, -3\/7, 0 in decreasing order.\nAnswer: z, 0, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10482 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 5, 1, 0.2, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**7\/3780 - o**6\/540 - o**5\/180 - o**4\/108 - o**3\/6 - o**2. Let p(j) be the first derivative of l(j). Factor p(a).\nAnswer: -2*(a + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -2) + (191 - 181).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 11*q - 318. Give w(29).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - -1)\/3*4. Suppose 0 = l*t - 7 - 17. Calculate the remainder when 17 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 5. Suppose 0 = 194*m - 981 + 1175. Let q be (-2 + (1 - -3))*1. Put m, w, q, -4 in descending order.\nAnswer: q, m, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -48*((-21)\/(-9) - 3). Let z be 6*(3 + b\/(-12)). Find the third derivative of -9*c**3 + 12*c**3 - 3*c**3 - 2*c**6 - z*c**2 wrt c.\nAnswer: -240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*y + 3*y**5 + 0*y - 15*y**5 + 6*y**2 + 7*y**2 wrt y.\nAnswer: -720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-3)\/(-30)) - 1. Let j = s + 10. Which is greater: -2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 + 4*v - 504 - 5*v**3 - 2*v - 4*v + 507 + 7*v**3 to f + o*v + p*v**2 + y*v**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3163472 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -251847 (base 9) to base 15\nAnswer: -301ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 14*z - 20. Let l be c(-14). Let u be -2 + 4\/(-10) + (-48)\/l. Differentiate -9 + 16*t + u*t + 16 with respect to t.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**4\/24 - 2*q**2. Let p(o) = 3*o - 1. Suppose 2*m = 8 - 6. Determine m*p(w) - 5*n(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1606 and 216956?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/10 + 4\/(-10). Suppose 4*p + 128 = -72. Let s = p - -348\/7. Sort s, h, -2\/5.\nAnswer: -2\/5, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9, -9, 1, 21, 51, 91, 141?\n\"Answer: 5*x**2 - 15*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 14718340 to the nearest one hundred thousand.\nAnswer: 14700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(10))\/sqrt(2)*-2 + ((sqrt(20) + -2)**2 - (sqrt(125) + -1)**2).\nAnswer: -102 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/12 and ((120\/(-27))\/1)\/((-2)\/6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-429)\/(-26) - 17)*(-2 + (3 - 1)). Let s be 2\/(-3) + 14\/3. Solve -s = -2*r + 2*o + 2, q = -r - 5*o - 27 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2)*k)\/(k**(-6)\/k))**(-2) assuming k is positive.\nAnswer: k**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/10 of a century?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -875, -1674, -2339, -2804, -3003, -2870, -2339?\nAnswer: -1344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 19*x. Let z(b) = -8*b**2 + 3125*b + 6. What is z(o(q))?\nAnswer: -2888*q**2 + 59375*q + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 10) to base 3\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k. Let q(r) = -18025900*r**2. Give x(q(h)).\nAnswer: 18025900*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6\/3191 - 6316\/35101. Let k = -2.95 + -0.05. Which is the third smallest value? (a) v (b) k (c) 32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.052717 rounded to 3 decimal places?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4752) - (sqrt(4752)*-2 + sqrt(4752) - sqrt(4752)))\/((-2*sqrt(55))\/sqrt(5)).\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 8 = 4*n. Suppose 4*d - 77 = -3*z, 0 = -z - 5*d + n*d + 24. Suppose -3*g + 2*s = -137, -g + z = 2*s - 16. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1165492890 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-5)*2*(-34617)\/(-198). Let p = c - -223\/5. Find the common denominator of ((-20)\/24)\/((-6)\/(-4)) and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 0) + -4 + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 7*h + 2. Suppose -3*m = -9*m + 24. What is c(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 11*t**2 + 10*t + 1. Let y be s(-10). What is the greatest common factor of 4 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.064 and -0.1.\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*r = -r + 19, 4*h + 4*r = -4. Suppose -68577*d + 250 = -68702*d. Sort -13, h, d.\nAnswer: -13, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11500 by -212.\nAnswer: 2875\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 29400324?\nAnswer: 1\/14700162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5932c (base 13) in base 3?\nAnswer: 22021202121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**2 - 8*r**2 + 2*r - 2*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65 - -46. Let b = -16 - z. Factor 1\/2*a**b + 1\/4 + 0*a**2 - 1\/4*a**4 - 1\/2*a.\nAnswer: -(a - 1)**3*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3860 divided by -1930\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -41 times 0.05\nAnswer: -2.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 68840.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 9 = 5*i - 0, k - 6 = 2*i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzcc when four letters picked without replacement from {c: 2, z: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16511021126 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r**2 - 79893*r + 39951*r + 100*r**3 + 39943*r to the form j*r**3 + v*r**2 + h*r + c and give j.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 0, a + 4*r - 4 = -a. Suppose 4*h + 4*q + 24 = -8, 14 = -3*h + a*q. Suppose -5*v - 9*v - 28 = 0. Is h bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 5 + 0 - 9*g - 4 + 10*g.\nAnswer: g - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**4 + 709*g**3 + 2063*g**2 - 6446650*g?\nAnswer: 24*g**2 + 4254*g + 4126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - k - 276, -4*w = 3*k - 376 + 8. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2726\/7 or -389?\nAnswer: -2726\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 311bb5?\nAnswer: -311bb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -615 and 4?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x = -12*x - 5790. Let s = x - 382. Solve -3*b + 4*w - s = 0, -3*b + 4*w = -8*b + 36 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 16 - 11 - 18*z**3 + 2*z + 32 in the form w*z + g + j*z**2 + b*z**3 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 97038 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 10 = -5*n, 4*n - 1 + 9 = -i. Let t(m) = m**2 + m + 24. Let k be t(i). Suppose -6*y + 2*y = -k. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a. Let x(q) = 2*q. Let c(m) = -10*m. Let g(d) = -3*c(d) - 14*x(d). Give g(t(b)).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/12? (a) 3 (b) -2 (c) 27 (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 175322775 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5564440?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -769\/4 or -192?\nAnswer: -769\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -168, -336, -504, -672, -840, -1008?\n\"Answer: -168*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ma when two letters picked without replacement from mbppbbbabpr?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 1 - 14 = 0. Let g(f) = -29*f**2 + 4*f**2 + f + 6 + 34*f**2. Let j be g(x). Calculate the greatest common divisor of 21 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 3*y + 35, -s + 26 = -3*y + 37. Let a(q) = -2*q**2 + 19*q + 5. Let i(t) = -t**2 + 8*t + 2. Let j(z) = s*a(z) - 9*i(z). What is j(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 5*i - 10. Let c be u(7). Let w(h) = 5*h - 2. Let o be w(c). Let l = o + -7. Calculate the lowest common multiple of 4 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = x - 4*x + 14, 3*x + v = 8. Is 3 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*b + b - 3)*(4*b**4 - 3*b**4 - 3*b**4).\nAnswer: -6*b**5 - 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - 2*w + w)*(-3 + 2 - 2) + (1 - 2 - 6)*(-15 - 6 + 1167*w - 1163*w).\nAnswer: -16*w + 147","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-15))\/(1\/(3 - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4)*(-8)\/(-1). Let q(g) = -g**2 + 3. Let u be q(0). Suppose r*t = -u + 51. Calculate the greatest common divisor of 132 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (9 + -14 - -4) - (0 - -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -9. Suppose 0 - 46*l**2 + 44*l**2 + 4*l**3 + l**m + 10 - 12*l - 1 = 0. What is l?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -9*z**2\/2 + 5*z - 19. Let x(w) = 8*w - 4. Suppose 5*m = -13 + 43. Give m*x(d) + 5*u(d).\nAnswer: 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 7*q**4\/12 - q**3\/2 - q**2 - 69*q. Determine p(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**2 - i - 8. Let b(x) = 4*x**2 + x + 9. Suppose 0 = -o + 6 - 3. Let w(r) = o*q(r) + 2*b(r). Determine w(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 + -45. Which is the second smallest value? (a) -0.2 (b) 3 (c) -4 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.19, -62, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 660818, 1321717, 1982616, 2643515?\n\"Answer: 660899*u - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -52*q + 50. Let l be h(0). What is the highest common factor of 250 and l?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4474541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 311339038.1.\nAnswer: 311339038.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 8*m**2 + 9*m - 4. Let y(a) be the first derivative of -2*a**3\/3 - a**2\/2 + 2*a + 99. Let q(b) = 5*y(b) + z(b). Let q(c) = 0. What is c?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20332253 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-156)\/(-390) - (-23)\/(-45). Put w, 1\/4, 0.4, 1, -0.5 in descending order.\nAnswer: 1, 0.4, 1\/4, w, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of x**3\/12 + 95*x**2 + 36100*x + 709. Solve v(g) = 0 for g.\nAnswer: -380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1016435 (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 3:38 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 241*i*l**2*u - 11*i*l*u + 119*i*u - 61*i + 3*l**2*u - 1 wrt l.\nAnswer: 482*i*l*u - 11*i*u + 6*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. Let s be (((-12)\/(-9))\/(-4))\/((-6)\/252). Suppose s + 13 = 3*o. Solve -g - 2*g + o = w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21.24 - 0.64. Let x = c - 19. Let h = -1.60000074 + x. Round h to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3847562.11 rounded to the nearest ten thousand?\nAnswer: -3850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120870168?\nAnswer: 2, 3, 137, 36761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5840.654 days in milliseconds?\nAnswer: 504632505600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8 - 93\/(-12))\/((-1)\/1212))\/(-14 + 17).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 z when three letters picked without replacement from zzbbbbzzzbzzzzzz?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*j**3 + 381595*j**2 + 1844521*j - 318020.\nAnswer: -(j - 63604)*(j + 5)*(6*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4517.12 + 4517. Put -5, 5\/3, 0, -2\/3, o in descending order.\nAnswer: 5\/3, 0, o, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -1\/5 (b) -1\/3 (c) 1\/7 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3024344 millennia in decades?\nAnswer: 30.24344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367 = 2*c - 379. What is the remainder when 62 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 4*a - a - 3)*(5935*a - 5531895 + 5531895) to x + q*a + o*a**2 and give q.\nAnswer: 11870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0.1. Let u = -5310 - -5310.24. Which is the smallest value? (a) -4 (b) u (c) k (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 5. Let b = -7 + f. What is the nearest to -1 in -5, -2\/9, b?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a**3 + 0*a**3 + 93*a**3.\nAnswer: 108*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -21*h - 27*h + 50*h. Let j(y) = -864*y - 400. Let f(d) = 32*d + 15. Let x(m) = 160*f(m) + 6*j(m). Calculate x(n(q)).\nAnswer: -128*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**3 + 6 + 6 - 4 - 15*t**3.\nAnswer: -14*t**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123 and 2050.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000902 to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1259.15666 to one decimal place.\nAnswer: 1259.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5975215776 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 50.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 440 and 200332?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44102767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-2 + -1)) + (-6 - -12)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110 (base 4) in base 7?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3.9*-49.27261\nAnswer: 192.163179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**4\/24 - 5*t**3\/3 - 14*t**2 - 3*t + 2. Let j(x) be the first derivative of -2*x**3\/3 + 1. Calculate c(j(s)).\nAnswer: -2*s**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1250 and 1466400?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 152820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 100 - 69 + 5*n - 369 - 161.\nAnswer: 5*n - 530","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, h: 1, r: 1}. What is prob of picking 1 r and 2 q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**2\/11 + 4018064*q\/11 + 60270510\/11 = 0?\nAnswer: -2009017, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26*((-3)\/(-6) + 0). Suppose v = -5*h - 2*j, 2*j = -4*h - 1 - 9. Is -2 - 12\/(-1) - h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 31*z**2 + 219*z - 147. Let m be h(-15). Let p = -20 + 32. Calculate the greatest common divisor of m and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1259.1179 and 0.2.\nAnswer: -1258.9179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdc when three letters picked without replacement from {d: 7, c: 4}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1130 - 1129.6. Which is the nearest to 0? (a) -1\/4 (b) 2 (c) 0.9 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 1:12 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1511 - 5?\nAnswer: -1520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -1510?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j - 9*j - j + 0*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) 14 (c) 0 (d) -49 (e) -2 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and 18.\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.0899354 weeks?\nAnswer: 906.548832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 587562.6mg?\nAnswer: 0.0005875626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**4 + 4*a**4 + 2*a**4 + (-3*a**3 + 0*a**3 + 4*a**3)*(653 - 653 - 66*a).\nAnswer: -64*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30278 - -30281. Let v(w) = w**3 - 8*w**2 + 8*w - 9. Determine v(d).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 3)*7\/28 - (-102)\/(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 102 + 90 = 0. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94598 is divided by 15750.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 8*n**3 - n**2 - n + 2. Let b be o(1). Suppose b*h - 94 - 26 = 0. Which is smaller: 76\/5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 342 + -206. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - l. Let o(s) = 61*s**3 - 121*s**2 + 2*s. Let p(d) = -o(d) - 2*q(d). What is the third derivative of p(j) wrt j?\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 808 and 471556577.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/(b\/(b**5*b*b)))\/b*b**(-6\/5))\/(b\/(((b\/((b**(1\/6)*b)\/b))\/b)\/b*b)*b*b)**(-45))**(-5) assuming b is positive.\nAnswer: b**(-1483\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 548.\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 9:04 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09961*1208.\nAnswer: 120.32888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -23*v**6\/24 - v**5\/6 + v**4\/6 + 11*v**3\/6 - 17*v**2. Let t be g(-9). Round t to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 3*t - 2 = 0, -58*l + 61*l = 3*t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 17 - 18 = -4*c, -11 = -c + 2*f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 4:01 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c - c + 2*c + 2*c. Let h(s) = -474*s**2 + 24*s + 96. Let r(o) = 467*o**2 - 22*o - 88. Let i(p) = -11*h(p) - 12*r(p). Determine i(y(j)).\nAnswer: -390*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -32, -139, -318, -569, -892?\n\"Answer: -36*y**2 + y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, m: 6, a: 1, w: 3}. Give prob of picking 1 c, 1 a, and 1 m.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-8 + 3 + (-2 - -4) - (-579 - -665))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4107 + -4102. Which is the third smallest value? (a) 0.2 (b) 0.5 (c) 106 (d) y (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-9)*(6 + 6). Suppose 0 = 5*k - m*k - 2*b + 26, -48 = -4*k + 4*b. Calculate the greatest common factor of 15 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021357879 rounded to five dps?\nAnswer: 0.00214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -191, -193, -197, -203, -211, -221, -233?\n\"Answer: -w**2 + w - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 97*j**3 - 6*j + 3*j + 17*j**3 + 71*j**3 + 18 - 20 wrt j?\nAnswer: 1110*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69097 is divided by 163.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*2\/(-3)*3. Suppose 0 = -4*i + 2*a + 8, i - 4*a = -i + z. Let g = 15 - 16. Put i, -5, g in descending order.\nAnswer: i, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009 take away 1627.3?\nAnswer: -1627.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7\/(35\/(-30)))\/(-2). Suppose 4*d - 20 = 4*n, n + 3*n - 15 = -f*d. Suppose 3*r - 433 = -5*x, -d*x + 4*r = 3*r - 449. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, e: 4, b: 1}. What is prob of picking 2 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*h + r = -443, -3*h = 3*r + 447. Let v = -75 - h. Calculate the smallest common multiple of 27 and v.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75359068?\nAnswer: 2, 73, 409, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 3)*(-2 + 2 - 2*t) + (-1 + 1 + 1)*(-2*t + 0*t + t) + (2 - 2*t - 2)*(-1 + 5 - 5) + 2*t + 2*t - 3*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 1. Suppose -q*f - 3*w - 78 = 0, 0 = -4*f + 3*w + 2*w - 55. Let x = f + 19. Solve 0 = 5*b + 5*l + 26 - 1, 7 = x*b - 5*l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*s = s - 5, -11 = 3*k + 5*s. Let x(j) = -j**3 + 2*j**2 - 2*j + 11. Let i be x(0). Which is smaller: i or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.9 + -2. Let u = -1261\/6 - -210. Let j = u - 19\/30. What is the second smallest value in j, 7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134243340 (base 5) to base 14.\nAnswer: 141c9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e - -267f9?\nAnswer: 26817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - (-3 + 0))*-11. Let b be (y - 0 - 1534005) + (-1 - 5). What is b rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -72*k - 147. Let s be u(-3). What is the highest common factor of s and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -18.999948. What is l rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-91)\/(-65)*5 - -36. Solve 10*u + q = 13 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27.63 - 0.37. Let l = i - -24. What is the closest to l in 0.3, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8307 divided by -3\nAnswer: 2769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-238)\/(-1071))\/((-18)\/(-81))*-6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293 - 164027*u + 293 + 164027*u - 5*u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 5*v - 12 = 0, 0 = -j - 40*v + 38*v - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2287987, -2288074, -2288219, -2288422, -2288683, -2289002, -2289379?\n\"Answer: -29*z**2 - 2287958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 26*m - 229. Let k be p(-7). What is the nearest to -9 in 3, k, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 5*s + 192, -619 = -5*z - s - 325 - 264 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 178.2 + -204.2. Let d = -23.966 + -0.034. Let v = d - f. What is the closest to v in -5, -3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 514, 806, 1294, 1972, 2834, 3874?\n\"Answer: -t**3 + 104*t**2 - 13*t + 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**4\/24 - 5*u**3\/2 + 2*u**2. Let b be p(20). Find the common denominator of ((-13)\/b)\/(54\/(-50) + 1) and 22\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wm when two letters picked without replacement from {m: 4, x: 3, i: 2, w: 7, s: 3}?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a = 6*z - 5, -6*z - 619*a + 615*a - 1 = 9 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 8*n - 32. Suppose -o = o - n. Solve 0 = -o*p + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 245*v + 8861. Give l(32).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**3 + 13*y**2 + 10. Let z(k) = -k**2 + k - 1. Let b(g) = -l(g) - 6*z(g). Let m be b(-5). Let j = m + -66. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-80*i**2 + 2*i + 7980 - 3998 - 3974)*(-3*i + 6*i - 2*i) as o*i**3 + h*i**2 + p*i + l and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**4\/4 + x**3 + 4*x + 4. Let v be n(0). Find the second derivative of -v*o**4 + 164*o - 179*o + o**4 wrt o.\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 (base 7) to base 11\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6681 times -7?\nAnswer: -25.6767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*b + 104*b + 84*b.\nAnswer: 33*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*y + 6 = 0, 0 = -r - r - 2*y - 10. Let c = r + 13. Suppose 77 = 2*t + 3*u, t + 4*t - 175 = -c*u. Solve -3*m + 4*n + n = t, -5*m = 3*n - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -16*o**2 + 39*o - 28. Let l(y) = -15*y**2 + 39*y - 21. Determine 3*b(g) - 4*l(g).\nAnswer: 12*g**2 - 39*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -104 + 1454202?\nAnswer: 1454065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from pprrfrrprrfpf.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156 and 4182?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 9:22 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3742857 litres?\nAnswer: 374.2857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 19*r**3\/2 + 2*r**2 - r + 72. Is l(5) a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6, 31, 74, 135, 214, 311?\n\"Answer: 9*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397985 is divided by 61.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 600338 = 291*s - 715855. What is the remainder when s is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdookokookodooookk. Give prob of picking 1 o and 3 k.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*l + l. Does 8 divide (l\/(-15))\/((-1)\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.1289 + -0.1289. What is the fourth smallest value in m, 4, 0, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-105)\/216 - 6*2\/(-32). What is the third biggest value in y, -4, 2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 3:06 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 16 = b, -3*b - 86 = -8*b + 2*k. Suppose 5*x - 53 = -b. Solve 5*s - x - 8 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 3\/8 (b) 17\/1638 (c) -4\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 5*w + 9. Let j be x(6). Suppose 4*q = 20, 0*h - 4*q = -h - j. Which is smaller: 2 or h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(3 - (-303)\/(-99)). Let v be (m\/(-55))\/(2\/(-10)). What is the third derivative of 0*r**2 + 18*r**6 - v*r**6 - 10*r**2 wrt r?\nAnswer: 1440*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 548186*w**4 + w**2 - 52404*w + 1.\nAnswer: 13156464*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/32 and 59\/16256?\nAnswer: 16256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2 + (-7 - -2364) - 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21999 is divided by 2202.\nAnswer: 2181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5 - 11) + 3)\/(20\/2).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.89, -2, -46, -4, 0, 2\/17 in descending order.\nAnswer: 2\/17, 0, -0.89, -2, -4, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l**2 - 13. Suppose -2*t - 29 + 10 = 3*d, -d + 3*t = -12. What is the least common multiple of n(d) and 40?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.026 (b) 57963 (c) 0.1 (d) -3 (e) 3 (f) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*v = 160 - 23, -2*v = 6. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -131 + 166. Solve 5*u - 5 = -2*n, -2*n + t = -6*n + 5*u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110100111101010011110 + -101?\nAnswer: -100110100111101010100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22109, -88487, -199121, -354011, -553157, -796559?\n\"Answer: -22128*d**2 + 6*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/747 and 2\/(-9) + (-47861)\/13167?\nAnswer: 5229","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27376.5um in millimeters?\nAnswer: 27.3765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spno when four letters picked without replacement from onvnvnpnsnnpnsnvpgon?\nAnswer: 3\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 583168?\nAnswer: 583168.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -182 - -182.1. Let g be (3\/(-6))\/(3\/(-2)). Is g less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, z: 3, a: 5}. Give prob of sequence zagg.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(6)\/sqrt(3)*4 + 3.\nAnswer: 3 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 2 - ((82 + -23 - 23) + -25).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 7) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*r - 2*r. What is the highest common divisor of r and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5752 = -4*u - 3644, -t + 5*u + 4707 = 0. Is 1\/(-4 - t\/(-1172)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.3 and 396596 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*a - 23*a - 31*a - 1140 = 10*a for a.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -810379, -3241574, -7293585, -12966412?\nAnswer: -20260055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7723783.\nAnswer: 7723783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 10*o - 11. Let b be m(9). Sort b, 2, -1 in increasing order.\nAnswer: b, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -27, 0.04, 331, -8, 0.22?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 17*l**2 + 1010*l + 8. Let y(u) = 80*u**2 + 5053*u + 38. Calculate -19*p(f) + 4*y(f).\nAnswer: -3*f**2 + 1022*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 3*o**2 + 18*o - 60. Determine z(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**25\/f)*f\/(f*f*f**(1\/43)*f))\/(f**(1\/3))**(2\/49))**(-43) assuming f is positive.\nAnswer: f**(164579\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 19*o**2 + 20*o + 7. Calculate n(20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21133 (base 4) to base 11.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*j = -2*x + 13, 5*x + 2*j - 17 = 0. Let q(l) = -l - 5. Let w(a) = a + 13. Let h(k) = -1. Let z(f) = 4*h(f) + w(f). Give x*q(n) + 3*z(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/7)\/p**(-3) assuming p is positive.\nAnswer: p**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (2 - (-1)\/(-1)). Suppose -3*h + 4*b - 10 = k, 5*h + 1 = -b - 31. Let z be (h\/20)\/(3\/(-4)). What is the second biggest value in z, -4, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-565*(-1)\/5)\/1.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 31. Suppose 3*h - f = -0 + 1, -18 = h - 4*f. Let x = -6 + 3. Put h, x, m in decreasing order.\nAnswer: h, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - i + 6*i)*(0*i**4 + 3*i**4 - 4*i**4)*(-82 + 51 + 44)*(4 - 7 + 2).\nAnswer: 91*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000301 to five dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*x + 56*x - 334260. Is x a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -6, -0.05, -682, 14, -4?\nAnswer: -682","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 108048492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**6\/80 + 27*c**5\/40 - 51*c**4\/16 + 25*c**3\/4 - 99*c**2\/16 + 13*c + 1. Factor z(a).\nAnswer: -3*(a - 33)*(a - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47 + 24?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 170834017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 96259\/26552 - 1\/3319. Let j = -2\/21155 + -478099\/42310. Calculate the common denominator of o and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(567) - (sqrt(567) - (-3 + sqrt(567) + 3)) - 5*(sqrt(567) - (sqrt(567) + 2)**2)))*-5.\nAnswer: -14250 - 720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 c when three letters picked without replacement from ccpbpcpccp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 373426 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.22 and 806.\nAnswer: -177.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 96, 116, 136, 156?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 12294447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/39560059 and 57\/616?\nAnswer: 316480472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + r**2 + 3*r**2)*(-9*r - r + r).\nAnswer: -54*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**3\/3 + 13*k**2\/2 + 48*k - 6. What is the units digit of v(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008778 to 6 dps.\nAnswer: -0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 1048*p**2 - 7360*p - 500. Calculate h(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120267.\nAnswer: 3, 7, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 81*n. Let m(w) = 8*w**2 - 5*w. Let z(p) = 10*p**2 - 6*p. Let v(h) = 6*m(h) - 5*z(h). What is v(d(u))?\nAnswer: -13122*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 277412941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4510, -4483, -4436, -4369, -4282, -4175?\n\"Answer: 10*t**2 - 3*t - 4517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p. Let m(f) = 564298888*f**2. Calculate m(h(g)).\nAnswer: 2257195552*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28674)\/1768230*(((-162)\/(-15))\/2 + 2\/(-5)).\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - q = 0. Suppose -6*x + 8*x - 18 = q. What is the greatest common factor of 81 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44210*n + 44470*n = -9880 for n.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36374 = 14780*b - 17578*b for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -21*s**3 - 25*s**2 + 5*s. Let m(k) = 26*k**3 + 31*k**2 - 6*k. Let i(v) = -5*m(v) - 6*y(v). Let c(j) = -2*j**3 - 2*j**2. What is 10*c(z) - 4*i(z)?\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5*6.8013\nAnswer: -34.0065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 456, 508, 558, 606, 652?\n\"Answer: -b**2 + 55*b + 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5435 - -2361. Suppose -3*i + w - 24446 = 0. What is i rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 3*g = 8, 3*g = -5*k - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3563 divided by 51929?\nAnswer: -3563\/51929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -7.4 and -3.16 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002 (base 3) to base 12.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 397*i - 3933. What is the units digit of v(34)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6535066*x**4 + 2226*x + 844 wrt x.\nAnswer: 78420792*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.79*0.24.\nAnswer: -0.1896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6752, -6753, -6754, -6755?\nAnswer: -6756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.069027 - 0.279027. Let y be 10\/(-24) + 2\/(-8). Put g, y, -1\/2 in decreasing order.\nAnswer: g, -1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83.5 - -83.8343. Let v = c + -187.2343. Round v to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95 - -104. What is the greatest common factor of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11775 + 3?\nAnswer: 12000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(77))\/sqrt(112)*3.\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -1 - (0 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1226394 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -568 + 567.613. Let d = -0.013 + c. Let q be (-3)\/6 - 9\/(-2). Put -3, 0.1, q, d in ascending order.\nAnswer: -3, d, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 304*j**4 - 11*j**3 + 5*j + 2804.\nAnswer: 3648*j**2 - 66*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 264, 2, -17.6, 2\/11, -2?\nAnswer: 264","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = 21*x + x. Suppose 10*f - 8*f = v - 78, 4*f - 5*v + 144 = x. Which is bigger: -40 or f?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 8*h + 1. Let g(z) = -4*z + 0*z + 5*z + 0*z. Determine -6*g(d) + r(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 205 and 1336165.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 2 (b) 3 (c) 0.092\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 15, 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 736685?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -27417278.\nAnswer: -1\/27417278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*p**3 + 414*p**2 + 104*p.\nAnswer: -2*p*(p - 52)*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 20 = -7*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 3*g + 4. Let x be t(-6). Let w = 24 + x. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 116844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 + -121\/2. Let j(m) be the third derivative of 0 - h*m**3 - 2*m**2 + 0*m - 1\/24*m**4. Give j(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 70*p**2 + 5*p. Let q(h) = 105*h**2 + 7*h. Calculate -5*q(y) + 7*u(y).\nAnswer: -35*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10168 by 2542.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 7, 2, 2.1 in decreasing order.\nAnswer: 7, 2.1, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 30, 790, -5, -4, 0 in decreasing order.\nAnswer: 790, 30, 0, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(322\/2874) - 3. Let j = c - -27670\/483. Let l = -79\/21 - j. What is the common denominator of l and -16\/27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2095, -1822, -1469, -1036, -523?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0351 - -0.2971. Let t = a + -0.2619963. What is t rounded to 7 decimal places?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/45*((-24)\/42 - -1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (0*(2\/(-3))\/((-64)\/(-48)))\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5 + 28*c**4 + 78*c**3 + 76*c**2 + 25*c.\nAnswer: c*(c + 1)**3*(c + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78a76a9 (base 11) to base 3.\nAnswer: -222001110000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 + 15*t**3 + 9*t**2 - 39*t - 30.\nAnswer: -3*(t - 5)*(t - 2)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 - 25. Suppose o + 0*f + 53 = f, -p = o + 2*f. Let k = o - -71. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-19) - 13392\/513 - 1. List the prime factors of 103220\/117 + 6\/q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r - 2. Let f be d(-2). What is the common denominator of (-2)\/(-4) + (-75)\/f and (-6)\/(-5)*7\/(147\/100)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1628859 is divided by 2072?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 237\nAnswer: 1\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1573019799?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (2 + -9)) + 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5 - 20 = -4*b, 3*p = b + 10. What is the hundreds digit of b\/(-15)*3 - -142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26703 and 210519?\nAnswer: 9052317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0284078656 to 4 decimal places.\nAnswer: 0.0284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23905072229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318709851.\nAnswer: 3, 41, 43, 60259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26774515*r - 5 + 13387254*r + 13387264*r.\nAnswer: 3*r - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t. Let r(d) be the first derivative of -5*d**2 + 80. Determine f(r(v)).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b + 3*b. Suppose -2*f + 5*u + 40 - 50 = 0, 3*u - 6 = -2*f. Solve b = -w - f - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1 = 0, 5*u + 2*o = 6*o + 109. Let b = 65 - u. Calculate the greatest common factor of b and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*z + 4. Let p(k) = -k**2 - 15*k - 2. What is the remainder when p(-9) is divided by -5*z\/(-5) - -14?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2862 is divided by 238.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*s + 28*s - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(891) - sqrt(891))*5 + -4 + (sqrt(44) - (sqrt(220)\/sqrt(5))**2).\nAnswer: -43 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -16\/20323 and -0.74 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119000361 is divided by 962?\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18.3 and 901267?\nAnswer: -16493186.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7035 = 860761*b - 860828*b for b.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7 - 7) + -4)\/((-2)\/(-2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8076319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -147 - -182. Suppose 5*k - 4*b = v, -3*k + 0*b - 5*b = -21. Solve 3*i - k + 34 = -5*g, -5*g - 15 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of y**2 - 2*y + 3. Let w be v(3). Solve -w*h - 8 = -5*g, 0*h = 4*g + 3*h - 25 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.421242ug to nanograms.\nAnswer: 7421.242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10322462 (base 7) to base 8.\nAnswer: -3266114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 245.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4913968.5 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.128768 rounded to three dps?\nAnswer: -0.129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/92710 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 10 + 11*x - 4)*(-1 + 13*x - 19*x + 12*x).\nAnswer: 66*x**2 - 5*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 77*l**2 + 14*l - 8. Let y(b) = 76*b**2 + 12*b - 8. Let g(i) = 5*w(i) - 6*y(i). Find the second derivative of g(x) wrt x.\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 17\/5, -7\/3, 39\/4, 2\/23, 3?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((2 + 3)\/15). Suppose 72 = -5*b + f - 58, -5*f = -3*b - 56. Let j = b - -30. Solve 4 = q*o + 2*x, -o = -7*x + j*x - 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**4\/12 + 4*h**3 - 79*h**2\/2 + 6*h - 260. Determine y(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 415 + 413. Let p(x) = 3*x**2 + 6*x + 2. Let o(m) = -16*m**2 - 30*m - 11. What is r*o(d) + 11*p(d)?\nAnswer: d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -306, -753, -1452, -2529, -4110, -6321, -9288?\nAnswer: -13137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224866 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -32*j**2 + 1\/11*j**4 + 31\/11*j**3 + 0 + 320\/11*j = 0?\nAnswer: -40, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46833 is divided by 90?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**4 - 267*m**3 - 2391*m**2 - 1605*m + 4266 = 0.\nAnswer: -79, -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.4*0.02.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifteen quarters of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**4\/5 - 9*a**3\/5 - 6*a**2\/5.\nAnswer: -3*a**2*(a + 1)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -818 = -33*v - 191. What is the remainder when v is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1836 = -94*d + 434 + 456 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - x = -4*m + 14, 3*m + x - 11 = 0. Suppose -2*h = m*h - 235. Let b = 78 - h. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + -11 + -46 + 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -3, 4, 2, -186 in descending order.\nAnswer: 4, 2, 1, -2, -3, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -10136396027210 and -24.\nAnswer: -10136396027234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -4. Let h(c) = c**2 - c + 1. Let f(o) be the second derivative of 1\/3*o**4 + 19*o + 0 + 1\/2*o**2 - 1\/2*o**3. Determine y*h(n) - f(n).\nAnswer: -n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, j: 1, b: 1}. What is prob of sequence jbd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -2. Let t be l\/(-6)*4\/6. Sort t, -4, -3 in increasing order.\nAnswer: -4, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2155 - 2155.0020382. What is p rounded to five dps?\nAnswer: -0.00204","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 2. What are the prime factors of a(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-3))\/1 + (-711)\/27. Suppose 0 = -w + 38 + 8. Let c = n + w. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1177 - -2514. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 + 27 + 19*n**3 - 28 + 109 - 37.\nAnswer: 19*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*w - 16*w - 9. Find the second derivative of 27*b**w - 2*b**2 + 14 + 4 - b + 15 - 13 wrt b.\nAnswer: 162*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 12*x**2. Let r(k) = -24*k**2. Calculate r(s(d)).\nAnswer: -3456*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence otco when four letters picked without replacement from tttocotobocbtbt?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.24245 + -281.75755. Put 2\/3, -0.1, g, -0.07 in descending order.\nAnswer: 2\/3, -0.07, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12830 (b) -5\/6 (c) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 4*j**2 - 2*j. Let i be b(-5). Let t(p) = 3 - 3*p - 4 + 2. Let d be t(-2). What is the greatest common factor of d and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w - 815 = 2*a, -1973*a + 191 = -3*w - 1972*a for w.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 786994102 to the power of 1\/2, to the nearest integer?\nAnswer: 28053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**9\/20160 - y**6\/360 + 2*y**5\/5 - 22*y**2. Let h(g) be the third derivative of l(g). Differentiate h(j) with respect to j.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1829 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -248 by 2.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 0.0622062?\nAnswer: -0.2488248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18576 and 264?\nAnswer: 204336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r - 4. Let n be ((-6)\/(-7))\/((-3)\/(-21)). Let z be j(n). Let h(k) = -z + 6*k + 7*k + 4*k**2 - 14*k - 5*k**2. What is h(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -297833.139283 - -297833. Let n = -0.14 - p. Round n to five dps.\nAnswer: -0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3 + 7 = 0, 3*f + 3*l = -51. Is 14003\/165 + (-2)\/f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y. Let c(g) = 3*g - 11. Let r(k) = k - 4. Let j(f) = 3*c(f) - 8*r(f). Let m(b) = -b**2 - 24*b - 92. Let v be m(-5). Give v*j(q) - 2*z(q).\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.042, 0.1809, 0.017?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 893115728.\nAnswer: 2, 55819733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-119*c + 52*c + 171*c + (0 - 4 + 6)*(-2 + 2 - 2*c))*(-2 + 3 + 3) to the form q*c + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2. Let q = -21462 + 21456. Let n(b) = 4*b**2. Give q*n(g) + 10*s(g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1191673 is divided by 595761.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 491187952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3037\/178111 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1625416086.\nAnswer: 2, 3, 7, 3011, 12853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9243699 is divided by 951.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8bc37 (base 16) to base 11.\nAnswer: 361119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*x + 133*x**2 - 130*x**2 + 6*x to the form d + g*x + u*x**2 and give g.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 5 - 3. Let q(a) = a**2. Give q(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1065 + -389. Let g = y + -964. Let n = 287.9999759 + g. Round n to 6 dps.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15979, -64089, -144331, -256705?\n\"Answer: -16066*d**2 + 88*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*c = 3, 4*o = 2*c + 34 - 12. Solve 0 = y - o*w - 11, -y + 2 = -9*w + 7*w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/12)\/1)\/(-2)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = x - 8, -22 = -5*k + x - 0*x. Let w(p) = 20*p**2 - p. Let t(s) = 21*s**2 - s. What is k*w(d) - 4*t(d)?\nAnswer: 16*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39498 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -t. Suppose t = -3*b + 3*d + 12, -3*b + 16 = -0*b - 5*d. Suppose -3*y - y = -2*m + 16, -3*m = 2*y. Solve -b = -m*j - 12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0024584722 to 5 dps.\nAnswer: 0.00246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 68\/(-7) - 4\/14. Let c be 22\/5 - (-4)\/v. Calculate the highest common factor of c and 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*b**2*i**2*n**2 - 4*b**2*i*n**2 - 9*b**2*n**2 + 15*b*i**2*n**2 + b*i*n**2 + 4*b*i*n wrt i?\nAnswer: -34*b**2*n**2 + 30*b*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/242718641 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3854 and 329?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/5)*u**(3\/20))**(-38) assuming u is positive.\nAnswer: u**(19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + -2*(sqrt(147) + 2 + -2 - (-3*(sqrt(147) + -2) + sqrt(147)))**2)*-2.\nAnswer: -10864 + 2016*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 147514848 divided by -416\nAnswer: -354603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*v = -35*v - 1440. Calculate the least common multiple of 756 and v.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 3*q**2 - 3*q - 1. Let f be v(3). Suppose b - f = -3*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94725523, 189451049, 284176575, 378902101?\nAnswer: 473627627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 4\/(102\/(-28) + 3) + 5432\/776. Let r = 6 - 5.6. Let s = -3\/19 - -1\/247. Which is the closest to s? (a) 1 (b) r (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/11*28*(-561)\/(-2142). Factor 2*p - x - 2\/3*p**2.\nAnswer: -2*(p - 2)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5448443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.433 + 3.103. Sort -5, h, -0.4 in descending order.\nAnswer: h, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12512 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - (sqrt(12) - sqrt(48)\/sqrt(144)))\/sqrt(6).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 38 = 3*p + 2*s, -2*p + 43 = 3*s. Let j = p + -1. Suppose 0 = k - j. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3*(sqrt(684)*-2 + sqrt(684) + sqrt(684) - sqrt(684))**2 + 4).\nAnswer: 10280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (2 + -7)) + 3 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = f - 36. Let g = f + -23. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4876 and 2484.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -4. Suppose 0*a = -10*a + 50. Suppose 0*t - 30 = 2*t + 4*b, -2*t + 4*b = -10. Sort v, a, t in increasing order.\nAnswer: t, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 17*u**2 + 1. Let j be k(1). Let y = -6 + j. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -25*a - 10. Let i(r) = -75*r - 27. Let n(l) = 6*i(l) - 17*k(l). Let m(t) = 6*t - 2. Calculate -9*m(z) - 2*n(z).\nAnswer: -4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/17, 666, -2\/5, 2, 1\/4, 0.3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 9407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*y + 16 = 6*y, 4*i + 4 = y. Let z(k) = -k - 4. Let n be z(-6). Suppose i = n*t - 0*t - 40. Does 20 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 36454.\nAnswer: 7\/18227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 0 - 17*g - 7\/16*g**4 + 3\/80*g**5 - 9\/4*g**3 + 0*g**2. Find w, given that o(w) = 0.\nAnswer: -2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -8*k**2 + 17*k + 49. Let y(o) = -19*o**2 + 34*o + 98. Let d(n) = -7*v(n) + 3*y(n). What is d(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*u - 26 = 0, 4*o + 0*u - 4 = -4*u. Suppose o*p + 4 = 106. Which is the third biggest value? (a) 0.2 (b) -0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gbppggbvgbvgvgg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3760*k - 90. Does 13 divide g(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/12 - 210\/(-252)*996\/(-40).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 6*g**2 + 0*g + 0*g**5 - 1\/96*g**4 + 0 + 1\/480*g**6 + 0*g**3. Factor k(h).\nAnswer: h*(h - 1)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 20 = 4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9822202 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -12 - 0)*(-6)\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r + 6. Let v be g(5). Let d(j) be the first derivative of 2*j**3\/3 - 4*j**2 + 4. Let n(f) = 0*f + 3*f - 4*f. What is v*d(t) - 6*n(t)?\nAnswer: 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44470, -44648, -44812, -44956, -45074, -45160?\nAnswer: -45208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 2*u + 9, -116 = 5*p + 5*u - 136 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**2\/5 - 84751772*x\/5 + 16950354 = 0?\nAnswer: 1, 42375885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 338 + -325.26. Let c = h - 3.74. Which is bigger: c or -0.11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ge when two letters picked without replacement from {k: 2, g: 5, e: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -108, -402, -890, -1572?\n\"Answer: -97*s**2 - 3*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*w**3\/9 + 9262990*w**2\/9 - 6616427*w\/9 - 882190\/3 = 0. Calculate w.\nAnswer: -1323285, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaia. Give prob of picking 1 i and 1 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**3 + 2*z**2 + 2*z. Let f(o) = -o**2 - o. Suppose -2*u - 6 = 2*v - 34, u - 4*v - 4 = 0. Let b = 13 - u. Give b*c(l) + 2*f(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14256349 is divided by 478?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.98 + -0.48. Let k = n - 6.5001013. Round k to six decimal places.\nAnswer: -0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2334 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47650 (base 15) to base 11.\nAnswer: -145a64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37926 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*q + 2*a, a = 6*a. Suppose -5*k = q*d + 33 + 15, -k - d = 10. Let x = k + 19. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 0*z + 2\/5*z**5 + 0*z**2 + 3 + 0*z**4 + 4\/3*z**3. Find the third derivative of n(p) wrt p.\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 228844611?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -65.1 and 0.05775.\nAnswer: -65.04225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5257331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7084 and 120.7.\nAnswer: -855038.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 14*z**2 + 14*z + 6. Let o be c(-8). Let f = o + 493. What is the closest to -0.2 in 2\/19, 8, f?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.53 - 9.47. Let s = 13 + -1. Let q = s + a. Sort q, 5, -0.4.\nAnswer: -0.4, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 385 - 83. Let z = f - 106. Suppose -2*m + 5*h = -5*m + 275, 3*h = 2*m - z. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*p**2 - 20*p**3 - 2 to the form z*p**3 + x + k*p + n*p**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1042 - 676. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m**3 - m**2 - 80*m - 6. Let y(o) = 9*o**3 + 3*o**2 + 158*o + 15. Determine 5*v(g) + 2*y(g).\nAnswer: -2*g**3 + g**2 - 84*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*(319\/11 + 9). Calculate the highest common factor of 20 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -31*u**3 - 83*u**2 + 7*u + 83. Let f(y) = -11*y**3 - 28*y**2 + 2*y + 28. Let n(v) = 8*f(v) - 3*x(v). Find l such that n(l) = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/60*5)\/4.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*s + 1440 = 850 - 7297 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 21*r + 4. Let f be n(21). Suppose -u + 4*t + 644 = t, -f*t - 2552 = -4*u. Suppose -259 = -6*j + u. Does 18 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3132 and 6264.\nAnswer: 6264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 415406.6 to the nearest one thousand.\nAnswer: 415000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = l. Suppose 3*v - 23 + 8 = l. Suppose 3*w = v*w - 10. Is w a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*(6\/15)\/(-1). Suppose d = 2*c, 2*d - 10 = -2*d - r*c. Suppose t = 3*a - 175, -d*a + t + 109 = -6. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103003231 - 1?\nAnswer: -103003232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - b + 3, -2*k = -14*b + 16*b - 6. Factor -2\/9*a**3 - 8\/9*a + k - 8\/9*a**2.\nAnswer: -2*a*(a + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4425 by 295.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102800)\/621940*66\/(-5)?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - d**2 + d. Let v(h) = 69*h**3 - 3*h**2 + 4*h. Calculate v(m) - 3*x(m).\nAnswer: 66*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -26 + 23. Let j be (6\/12)\/(u\/14). What is the common denominator of -19\/8 and (-4)\/(-14) + j\/(784\/290)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/45 + 29\/45. Let l = -3.71 + 3.7. What is the biggest value in -1\/4, l, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -3. Let z(l) = 31*l**2 - 15*l - 6. Let a(h) = -13*h**2 + 7*h + 3. Let j(c) = 7*a(c) + 3*z(c). Calculate j(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 76 in -0.1, 55254, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30689 - 941947*m**2 + 941960*m**2 + 30688.\nAnswer: 13*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 7:29 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (6 - 9)) + (4 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 + 52. Let i = -0.17 + -2.03. Let o = i - w. Which is the second biggest value? (a) 0.5 (b) -1\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 19*r - 6 = 16*r, 0 = -4*r. Let l(i) = -5 - 9*i - b*i + 10*i. What is l(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30909439 is divided by 429.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 43*u + 44*u = -5, -q = 2*u + 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.366467nm to millimeters.\nAnswer: 0.000009366467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*v + 192 = 15*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/20 and -71\/3877048.\nAnswer: 19385240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1\/p**(1\/25))\/(p**(-3)*p)**(2\/17) assuming p is positive.\nAnswer: p**(508\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36272 is divided by 9044?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 62806657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -13787.\nAnswer: -13787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**3 - 208*x**2 - 159*x + 1321. Give m(70).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**39*x\/x**(-9\/11) assuming x is positive.\nAnswer: x**(-398\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15633?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/15678 and 111\/5593562.\nAnswer: 50342058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -241.568 times 0.1?\nAnswer: -24.1568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29511, 29516, 29521?\nAnswer: 29526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2413279873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 98986*m - 5642207. Give s(57).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2028765 + 141069 + 508442 = 62*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a century in decades?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 5*x - 69 + 297, x - 438 = 4*v. Sort -3, v, 4 in decreasing order.\nAnswer: 4, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of o**3 + 758 - 3 + 937 + 108*o + 118 - 757*o wrt o?\nAnswer: 3*o**2 - 649","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/4 of a tonne in kilograms?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 5*x**2 - 5*x + 5. Let k be l(-6). Let q(i) = -46211 - 34*i**3 + 0*i**2 + 46212 - 2*i**2. What is the remainder when q(k) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2984.5 - -2984. What is the closest to 3\/4 in 2\/3, -26, c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43016053 (base 8) in base 11?\nAnswer: -5201841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 4 + 13)*(-2 + 11 + 0)*(5*q**4 + 2*q**4 - q**4).\nAnswer: 1080*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 688, 1387, 2096, 2815, 3544, 4283, 5032?\n\"Answer: 5*k**2 + 684*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-3*(-1*sqrt(200)*-1)**2.\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1341268 and 478?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/17))**8 assuming n is positive.\nAnswer: n**(-16\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 8*v = 19, -3*d - 13 = 9*v - 4*v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1495 and -79\/1110.\nAnswer: 331890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 + 5. Let y(x) = 28*x**2 - 1016*x - 64596. Let d(n) = 16*s(n) + y(n). Factor d(r).\nAnswer: -4*(r + 127)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.07 - 1.07. Which is the second biggest value? (a) i (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*p - 2566503 + 399515 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447718 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18575615017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.021 * 2\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 660, 673, 686, 699, 712, 725?\nAnswer: 738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(13) + sqrt(468) - sqrt(13))*-1 - sqrt(156)\/(sqrt(12)*-2 - sqrt(12)))**2*-4.\nAnswer: -15010\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19152\/784 - (6 - -18)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.02 rounded to 0 dps?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + -8609)*(-18)\/90 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 y when two letters picked without replacement from yhqky?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p - 3. Let n be u(2). Suppose n*i - 355 = -0*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -939 - -1863. List the prime factors of m.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171028366 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89 - 71. Let q = -12 + k. Is 54 a factor of q\/(8\/((-4736)\/(-12)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*b - 20. Let j be (-8)\/(-10)*b\/8. Suppose j*m = -0*m + 658. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44.069 + -44. What is m rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 149, 165, 189, 221, 261, 309, 365?\n\"Answer: 4*h**2 + 4*h + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5 + 1 - v + 1. Let n be p(-5). Let -2*c**3 - 2*c**2 - 2*c**2 + n*c**2 = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3\/7, -0.5, 184.\nAnswer: -0.5, -0.3, 3\/7, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -5, 158, -2 in decreasing order.\nAnswer: 158, 4, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 573850.\nAnswer: 573846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -3. Suppose -b*d + 14 = -4*d. Let k = d - -120. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - -97?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -29ae5 (base 15) in base 2?\nAnswer: -100000101111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 111577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-6)\/g*g\/((g\/(g\/(g*g\/(g*g**6*g)))*g)\/g) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (1*sqrt(5))**2)*5 + 5.\nAnswer: 5*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*j**3 - 9092*j**2 + 580480?\nAnswer: 12*j**2 - 18184*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 2 (c) -42 (d) 0.5 (e) -17 (f) 29 (g) 0\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41293151651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**2*b + a**2*u**2 + 1157*a**2*u - 160*a*b - a - 3290*b*u + 358*b wrt u?\nAnswer: 2*a**2*u + 1157*a**2 - 3290*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2446.\nAnswer: 2, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t. Let b(v) be the first derivative of 5*v**3\/6 - 20*v - 5. Let k(f) be the first derivative of b(f). Determine 11*i(a) - 2*k(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 821 is divided by (182\/13 - 18)*(-206)\/8?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -35 and 411.1.\nAnswer: 376.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxdddxxxvw. What is prob of sequence wd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-480)\/100*(-740)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1171f - -13?\nAnswer: 11732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 10*j**2 - 13*j - 13. Let c = 147 - 158. Let m be x(c). Solve 3*z = 3*d + m, 2*z - d + 2*d = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11114182 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + 3*d + 7*d - 15*d + 5*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-9.7\nAnswer: -2.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 728087 is divided by 4412?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from jhjhhhh.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, v: 2, l: 2}. Give prob of sequence lv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 459479 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4*c = 112, -41 = -3*c - 35. Put k, -5, -6 in increasing order.\nAnswer: k, -6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.07 (b) -2\/17 (c) -0.1 (d) 99696 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*v + 1. What is the smallest common multiple of 18 and (-38)\/(-2) + v + -6?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(0 + (-15)\/(-130)). What is the first derivative of -16 + 9*t**3 + j*t**2 - 26*t**2 wrt t?\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a**4 + 2*a)*(2*a + 2*a - a - a + 0*a + 2*a + (5*a - 4*a + 0*a)*(-4 + 6 - 1) + 0*a + a - 3*a + 3*a + 2*a - 6*a).\nAnswer: 4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -11110100001?\nAnswer: -11110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-40)*106 - (-50)\/(-40). Suppose -61 = u*l - 169. Suppose -17 + 1 = -4*n. What is the remainder when l is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 6:47 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + y + 0*y)*(-3*y + 3*y - 4*y) + 2*y**2 - y**2 + 2*y**2 to the form d*y**2 + h + q*y and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(448) + 5.\nAnswer: 10 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 4:07 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -10. Suppose -2*n = u*c - 60, 5*n - 35 - 38 = -4*c. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -263, -265, -269, -275?\nAnswer: -283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 18 = -2*z, 66 = -0*z - 4*z + 2*d. Let j = 18 + z. Suppose j*g - g = 49800. Round g to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q - 5*q**2 - 66 + 37 + 35. Let a(u) be the second derivative of -15*u**4\/4 + 55*u**3\/6 + 55*u**2\/2 + 21*u - 3. Give -6*a(z) + 55*g(z).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11508139.\nAnswer: 883, 13033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b + 1 - 1)*(-127*b + 252*b - 171*b) as z + a*b + k*b**2 and give k.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5432, -5482, -5564, -5678, -5824, -6002?\nAnswer: -6212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6095*k**3 + 3657*k**2 + 3657*k - 3657. Let b(m) = m**3 + m**2 + m - 1. Determine 3657*b(w) - i(w).\nAnswer: -2438*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + l + 150. Determine h(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6*c - 11*c + c**3 + 3 + 5*c**2 + 2*c. Let l = -7 - -11. What is the least common multiple of l and a(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1618879 (base 10) to base 12\nAnswer: 660a27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrh when three letters picked without replacement from {r: 2, h: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123340*g - 123344*g = q - 19, 2*q = -g + 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 259829 or 259841?\nAnswer: 259829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-one halves of a century?\nAnswer: 24600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/2 + 135*h**2 + 9456*h + 18368.\nAnswer: -(h - 328)*(h + 2)*(h + 56)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*t**2*w**3 - 5*t**2*w**2*y**3 + 47*t**2*w**2*y**2 - 9*w**3*y**3 wrt y.\nAnswer: -30*t**2*w**2 - 54*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 75, -3\/7, 1\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 4. Let r = -23.3 - -23.1. Suppose -p = -4*p - 12. Which is the second smallest value? (a) m (b) r (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.754 rounded to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(1458\/225))\/((-10)\/6).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12939478910 to the nearest 1000000.\nAnswer: -12939000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.89 - 0.89. What is the second biggest value in -1, j, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 115 - 120. List the prime factors of 2 - (-2 + 90)*y.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14308 - 6*v - 5*v - 14409)*(7 - 7 + 2*v) in the form n*v**2 + i*v + z and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**4 - n**4 + n**4)*(n + 5*n - 4*n) - 2*n**2 + n**3 - n**3 - n**5.\nAnswer: 7*n**5 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 690976 divided by 176?\nAnswer: 3926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 70314.21 times -1?\nAnswer: -70314.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -13*d**3 + 10*d + 5. Let s(h) = -9*h**3 + 7*h + 3. Give -5*l(m) + 7*s(m).\nAnswer: 2*m**3 - m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 141135 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 5*t + 2*k - 0*k, -11*t - k = 21 + 42 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) - (sqrt(2592) - sqrt(2592)*2))\/sqrt(6))**2.\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = x + 9. Suppose x*c = c + 110. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5670\/2205)\/(1\/(56\/12))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14904 + 14904.6101. Round b to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 102.33 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/9))**(2\/15)*g**(-3\/4)*g**(-8) assuming g is positive.\nAnswer: g**(-4741\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 5*c**4 - 149645*c**3 + 448665*c**2 + 6734225*c - 26185250 = 0.\nAnswer: -7, 5, 29926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -633 = 6*p - 159. Let s = -44 - p. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - r**2 - 1)*(-3*r**2 + 2*r**2 + 4*r**2) - 719*r**2 + 3*r**4 + 2*r**4 + 686*r**2.\nAnswer: 2*r**4 - 33*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1137*m - 123884. Determine o(-109).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 3 + 3. Suppose 83 = 3*j - 2*t, 2 = -t + y. What is the remainder when j is divided by (-1 - -1) + (18 - 26) + 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*n - 830 = -553*n + 412 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -2*u - 62, 7*b + 4*u = -0*b - 82 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3114676*c**2*g**2 + 720*c**2*p**3 - c**2*p**2 + 13*c**2 + 40*c*g**2*p**3 + 2*c*p**2 - g*p**3 + 13*g*p**2 - 2*p wrt g?\nAnswer: -6229352*c**2 + 80*c*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9, -0.4, 35, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25853 to the power of 1\/2, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 1. Let p(y) = -4*y**2 - y + 5. Give 6*h(k) - p(k).\nAnswer: -2*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 395665 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51.2 - -51.4. What is the closest to -0.0311 in x, -5, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 2*k**2 + 0 + 0 + 2*k**2 + (-6*k - k + 5*k)*(2*k - 4*k + 0*k) + 0*k**2 + 7*k**2 - 4*k**2 in the form n*k**2 + h + t*k and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 - 1. Suppose 2*f = 5*j + 5*f + 2, -j = -f - 6. Let w be (-10)\/j*(12\/4 - 2). Let m(r) = -3*r**2 + 2. Give w*m(t) - 8*h(t).\nAnswer: -t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/38 and 133\/130?\nAnswer: 2470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/75*2\/(-7).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3260 + -466182\/143. Let t = -280\/429 + p. Suppose -2*v - v = 0. Which is greater: v or t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53360 and 12604?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((408*3\/81)\/((-4)\/(-18)))\/6.\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 93595589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*3\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zcghwzhhwz. What is prob of sequence zhgc?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 59, 79, 109, 155, 223?\n\"Answer: k**3 - k**2 + 16*k + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - y + 7 = y, -5*x + y = -16. Let p be 3\/6*(0 + 4). Let l be (0 - p)\/((-30)\/(-15)). Which is the closest to -2\/7? (a) x (b) l (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -339*p**4 - 443*p**4 + 2*p + 1225*p**4 + 948 wrt p.\nAnswer: 1772*p**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + p**2 - p**2 + (0 + 0 - p)*(1 - 1 + 2*p))*(-1 - 2 + 4)*(0*p - 3*p + 4*p)*(-17 + 3 - 9).\nAnswer: 23*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 6)*(3*u - 6*u + 2*u)*(7*u - 6*u + 6*u) as o*u**2 + z + l*u and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (-1)\/((-18)\/1227). Let f = 67 + n. What is the nearest to f in 0.3, 5, 3\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -82462929, -164925859, -247388789, -329851719, -412314649, -494777579?\n\"Answer: -82462930*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 + 60. Let l be 24\/q*(1 - 14\/(-6)). Suppose -15*c + 16*c - l = 0. Calculate the highest common divisor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-36)*12\/(-20).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 533\/8197 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h + 2*h + 3 - 6. Suppose 2*u + 0*t - 3 = 5*t, -4*u + 14 = -2*t. Is l(u) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17949028?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c - 9. Suppose -3*d + 6*d - 5*x + 4 = 0, 5*d + 5*x + 20 = 0. Let b(v) = v + 8. Let g(o) = -8. Let k(h) = d*b(h) - 2*g(h). What is 6*k(r) - 5*u(r)?\nAnswer: 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 8 + 17 = 0. Suppose -x*d + 246 = -d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 125440*w**4 - 15*w**2 + 2341*w - 2?\nAnswer: 3010560*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 28*l**2 - 38*l - 357. Does 56 divide i(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*m + 21 = 0, h + 6*m = 7*m + 3. Solve f + 8 = 2*b, 2*b + 3*f = h*b - 4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52553529 a multiple of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 34542 from 151.1023657.\nAnswer: -34390.8976343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxxxxjjgxg. What is prob of picking 1 x, 2 j, and 1 g?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*y - 30*y - 34*y + 16 + 97*y.\nAnswer: 2*y + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 5*i + 93, -5*k - 3095*i + 6191*i + 11 = -2*k + 3097*i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/54)\/(10\/(-60))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2838, -5776, -8714, -11652?\nAnswer: -14590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -4. Let m = a - -6. Let x = -14 + 25. Calculate the remainder when x is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 - 3*s - 2*s**3 + 0*s)*(29*s**2 + 25 - 52 + 29).\nAnswer: -145*s**5 - 97*s**3 - 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -2. Suppose 0 = -5*u - 4*j + 41, 35 = 3*u + m*j + 3*j. Put u, -5, 3\/5 in increasing order.\nAnswer: -5, 3\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339580 is divided by 46?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 55*k**2*s**2 + 527*k**2 - 6*s**2 wrt s.\nAnswer: 110*k**2*s - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 730267*q**2 + 69*q + 1373.\nAnswer: 1460534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*j - 1212 = 0, -3*j + 74 - 365 = -f. Calculate the remainder when 9295 is divided by f.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ayqayqyakqy. What is prob of picking 3 a and 1 k?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/477*4\/(-10)*40*459\/(-6528)\nAnswer: -3\/106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19621 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36401426.\nAnswer: 2, 18200713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3343 + -bed6?\nAnswer: -8b93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 1. Let u(s) = 2*s - 6. Let a(p) = -d(p) - u(p). Determine a(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/6)\/(17\/(374\/(-4)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (19 - (18 + -26 + -10))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 22*i. Let s(t) = -22*t + 3. Give y(s(w)).\nAnswer: -484*w + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*y - 2*y**4 + 717 - 1429 + 709 to q*y**2 + r + s*y**3 + p*y + c*y**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 10:27 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 19\/(-133) + 72\/14. Suppose 0 = t*m - 10*m + 40. Suppose 3*q - 5*d = 31, -5*d + 16 = 2*q - 13. What is the greatest common divisor of m and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -180 + 132. Calculate the remainder when 87 is divided by (-7)\/(42\/f) + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/1451360 and 85\/564?\nAnswer: 4354080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7\/7)\/((-2)\/(-14)). What is the highest common factor of y and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 38 = 2*q, 4*k - 3*k - 4*q = -8. What is the highest common factor of k and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1948)\/(-6)*(-9)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*a - 93 = a, a + 108 = 5*i. Suppose 0 = -2*q + m - 1 + 49, -i = -q - m. What is the remainder when 91\/2 + 1\/(10\/(-5)) is divided by q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 86 and 54?\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.49931493 to 2 decimal places.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12697 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -9*c + 192. Calculate v(21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -294.39?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 728916.\nAnswer: 2, 3, 19, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c5 - -9?\nAnswer: ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 26\/91 + (-164)\/(-14)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2\/2133 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/16 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11928 + 133 = 5*l. Let w be (-1)\/3 - l\/21. Let h = w - 66. What is the remainder when h is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 271392, 542074, 812756, 1083438, 1354120?\nAnswer: 1624802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -168*i**2 - 742*i. Calculate the remainder when 1670 is divided by z(-4).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15 and 2.451.\nAnswer: 17.451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 10:11 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 96, 353, 762, 1317, 2012?\n\"Answer: -p**3 + 82*p**2 + 18*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011001 + 1110111000000010?\nAnswer: 1110110001101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3472\/5 - -692. Which is the closest to l? (a) 1 (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.16*-0.1.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20513, -38531, -56549, -74567, -92585, -110603?\nAnswer: -128621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.54013 rounded to 1 decimal place?\nAnswer: 129.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32963.\nAnswer: 7, 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-21)*455\/(-6)*(-2)\/55*-11\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -148*d*f**2 + 5189*d + f**2 - 348*f wrt f.\nAnswer: -296*d*f + 2*f - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - (sqrt(700)*1)**2) + sqrt(700))*3.\nAnswer: -2100 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.335 - 0.935. Suppose 6*w = 13 - 1. Put 1\/22, w, d in descending order.\nAnswer: w, d, 1\/22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 479 + -411. What is the highest common factor of j and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7128, -9205, -11282, -13359, -15436?\nAnswer: -17513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**3*j**2*k + 13*d**3*j**2 - 54*d**3*j*k - 2*d**2*j**2 + 4828*j**2 + 2*j*k wrt d?\nAnswer: -12*j**2*k + 78*j**2 - 324*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -855736 by -2072.\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/8*60\/(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 436864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 1791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 564232 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-10) - (-4)\/((-4)\/(-4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -469, 359 in descending order.\nAnswer: 359, 3\/2, -469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 67*l**2 - 107*l - 1561. Calculate o(-68).\nAnswer: 1091","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -281, -18, 0, -14, 73 in decreasing order.\nAnswer: 73, 0, -4, -14, -18, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/12 + (-27)\/(-12). Suppose f + 5*n = 0, n - 1 + p = 0. Suppose f*y - 29 - 36 = 0. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 6. Let g(m) = -l + 2*m**2 + 2. Let n(s) = s + 0*s - 3*s. Calculate n(g(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000242 to 6 decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + (-76 - -75)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -1 - -6 - (31 + -38 + -5)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 + 2088*y + 363312.\nAnswer: 3*(y + 348)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -57, -115, -173?\n\"Answer: -58*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30\/13 or 3.9767?\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - -1 - (-14)\/18. Suppose 0 = m - 2 - 2. Let p(f) = f**2 - 4*f - 1. Let k be p(m). Which is the third biggest value? (a) r (b) k (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 4 = -7*a. Solve -a*x = 5*b - 3, 3*b - 11 - 2 = x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10366162 - 10366139.141018. Let l = x + -22.999. Let v = l - -0.14. What is v rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 3*a**2 + 1\/3*a**3 + 0*a + 0 + 0*a**5 + 1\/10*a**6 + 0*a**4. What is the first derivative of r(b) wrt b?\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102954 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**4 + 4*k**4 - 6*k**4)*(-1 + 1 + 8 + (1 + 0 - 3)*(3 - 3 - 2) - 4 - 8 + 1).\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2448*f**4 - 21*f**2 wrt f?\nAnswer: 58752*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 185, 201, 223, 251?\n\"Answer: 3*d**2 + 7*d + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 70 (c) -18 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**5\/3 + 17518*f**4 + 2*f**3\/3 - 17518*f**2 = 0.\nAnswer: -1, 0, 1, 26277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -51 + 223. Suppose -v = 3*k - 588, 4*v - 344 = -k + 2052. Calculate the remainder when v is divided by r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-30))\/((-8)\/(-20)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -1232?\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 268901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36381 is divided by 1732.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3878483 - -0.293493454.\nAnswer: -0.094354846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -1 + sqrt(44))*-3)**2.\nAnswer: -144*sqrt(11) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -6) + (-9 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149269, -298554, -447815, -597040, -746217, -895334, -1044379, -1193340?\nAnswer: -1342205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 132\/(-9) + -2 + 3\/(-9). Let s(k) = k**2 + 18*k + 17. Let m be s(w). Solve -2*o - o + 15 = m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/21)\/(1508\/1131)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 11:48 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-30))\/((-1)\/5). Suppose 0 = -c - 3*r + 28, -l*c + 4*r + 16 = -0*r. Solve 0 = 4*z - 4*g + c, -3*g = 2*z - 4*z - 11 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 at least -376\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - s = 5*y - 19, 0 = 2*s - 2*y + 6. Suppose w + s*w = 420. Let g = 229 - w. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00345271 rounded to 4 dps?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -9143*w - 26694. What is the units digit of g(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 12. Let i = p + -22. Is i greater than or equal to -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 - 2*a**2 + 0*a**2)*(-a**3 + 19*a**2 - 19*a**2) - a**5 - 1 + 1 + (-2 - 2 + 3)*(2*a**4 - a**5 - 2*a**4) - 2*a**5 - 5*a**2 + 5*a**2.\nAnswer: -5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219053233?\nAnswer: 7, 31293319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 16, -c + 6*c = -3*q - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iuk when three letters picked without replacement from qbiqiirkukbi.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -32*b**2 + 0 - 31\/210*b**7 + 0*b**4 + 11\/3*b**3 + 0*b**6 + 0*b + 0*b**5. What is the derivative of l(z) wrt z?\nAnswer: -124*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**5 - 75942*h**4 + 481054194*h**3 - 5759671416*h**2 - 12962809197*h - 6722007642 = 0. What is h?\nAnswer: -1, 14, 12651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10114*j**3*w - j*w + 126370*w wrt j?\nAnswer: -30342*j**2*w - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6514\/3 + -2170. Let k be (-4)\/(-6)*3\/(-2). Which is the second smallest value? (a) k (b) -2\/11 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*k + 570 = 2 - 906 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5784, 11819, 18110, 24657, 31460, 38519, 45834?\n\"Answer: 128*w**2 + 5651*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 9*f**2 - 10*f - 6. Let d be j(6). Let k = -124\/3 + d. Let h = -39.6 + -21.4. Which is bigger: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 3*f**2 - f - 2. Let s be a(4). Suppose 2*y = y + 3*u + 15, s = -4*y - 2*u. Suppose y*d = -d + 3. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22078211, -44156442, -66234675, -88312910, -110391147?\nAnswer: -132469386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5761\/12, 81, 0.4 in increasing order.\nAnswer: 0.4, 81, 5761\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 7*k**2 - 6*k + 3. Let l be y(-6). Solve -l*q - 2*q + 21 = 3*f, -5*f - 3*q + 19 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -4 - (-7 + 5)) + (-36 - 12) + -19?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -481*c - 80 - 87 + 138 wrt c.\nAnswer: -481","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**3 + 192*p**2 + 434*p + 11178. What is y(-47)?\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y + 1 = -23*y. What is the lowest common multiple of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8774*r - 3 - 2 + 5 + 8775*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (-9 + 8 - -2*1). Suppose 0 = -o + f*p + 101, p - 77 = -o - 6. Let t = 51 + o. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j*j**16))**(-26)*j**13\/(j*j*((j\/((j*j**(-15))\/j))\/j)\/j*j) assuming j is positive.\nAnswer: j**386","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -57*l - 4. Let d(s) = 57*s + 5. Calculate -7*a(v) - 6*d(v).\nAnswer: 57*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 6:28 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnbnbbnbbn. What is prob of picking 3 b and 1 n?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, v: 2, r: 5}. Give prob of sequence vhv.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**3 - 12*q**2 - q + 3. Let u(x) = -9*x**3 - 23*x**2 - 2*x + 7. What is 2*u(t) - 5*w(t)?\nAnswer: 2*t**3 + 14*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 120 and -0.22.\nAnswer: -26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -987.7864 + 981.5. Let c = x + 0.0964. Let f = c + 0.19. Sort f, -2, -3\/2.\nAnswer: f, -2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.035046 * 86\nAnswer: -3.013956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -25*l**4 + 300*l**3 - 300*l**2 + 40*l + 40. Let y(z) = -2*z**4 + 23*z**3 - 23*z**2 + 3*z + 3. Let o(f) = 3*c(f) - 40*y(f). What is j in o(j) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38097 - 36349. What is the greatest common factor of i and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 164*s**2 - 10016*s + 731. Give f(61).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0.2, 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 47. Let t(z) = z. Let o(p) = -3*p**2 - 21. Let k(q) = u*o(q) + t(q). Is k(5) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3212 (base 5) to base 12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38972 + 82957. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 675752?\nAnswer: 2, 7, 11, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*v**4\/7 - 440*v**3\/7 - 3753*v**2\/7 - 10935*v\/7 - 1458 = 0. What is v?\nAnswer: -14, -9, -9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20495 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 35267*-0.0724\nAnswer: -2553.3308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 + -0.47. Let b = 1.3 + l. Let o = b - 0.80000018. What is o rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/(-2)*(-56)\/(-42). What is the least common multiple of (r\/(-4))\/((-10)\/(-8)) and (-2 - -1)*-3 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -942 - -947. Solve -8*g + k*g = 4*n, -2*n = 5*g + 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2867\/1914 + -2\/957. Which is greater: 245 or g?\nAnswer: 245","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-14)\/105 + 2\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 580*s + 544 = 576*s. Is s*(-1 + 33\/(-6)) + 5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 24 (b) 4 (c) 0.24 (d) -2 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -4. Let g(h) = 0 - h + 0 + 4. Let d(t) = -3*t + 7. Let k(s) = 2*s - 4. Let f(n) = -d(n) - 2*k(n). Determine r*f(a) + g(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 12:50 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, n: 7, e: 2, i: 1}. Give prob of picking 2 y.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 3*a**2 - 2*a - 4. Let m(j) = 4*j + 13. Let s be m(-4). Let i be (4 + s + 2 - 0) + 1. What is the units digit of p(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**5\/20 - 2*x**4\/3 - x**3\/6 - 13*x**2\/2 + 54*x. Let m be u(-8). Which is the nearest to 11\/6? (a) -2\/5 (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33657030 or 33657033?\nAnswer: 33657030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - (1*sqrt(500) + 1))**2 + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g**2 - 35*g + 14. Let d(k) = 3*k**2 + 25*k - 10. Let b(n) = -7*d(n) - 5*s(n). Let h(j) = -42*j**2 - 26. Determine b(h(a)).\nAnswer: -1764*a**4 - 2184*a**2 - 676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w**2 + 2*w + 10. Suppose -20 = -3*g + 7*g. Let n be z(g). What is the units digit of (126\/15)\/(15\/n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*(-240)\/8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 50 = -2*y, 0*o + 2*y = -3*o + 72. What is the remainder when 65 is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 30*q**2 - 145*q + 14. Calculate c(-7).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44283, 98, 6\/23.\nAnswer: 6\/23, 98, 44283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ksw when three letters picked without replacement from zkszwss.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3051 - 12137\/4. Calculate the common denominator of t and -143\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 11830.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**4\/24 - 5*x**3\/6 - 4*x**2 - 10*x. Let k(t) be the first derivative of f(t). Determine k(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 7. Let k = 5 - -2. Suppose -k = -a - 2. Suppose -20 = -s + a*s. Give c(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 2935?\nAnswer: -6\/2935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24062 divided by -4?\nAnswer: -12031\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 8*r**2 - 7*r + 2. Let p be w(-7). Suppose 7*v + 23 = 3*v + 5*a, -5*a = -p*v - 19. Calculate the remainder when 3 - v\/(-2)*2 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/(-48) + 17\/15?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*q + 392 + 1319 - 192 for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 489*a**2 - 168*a - 26. Is z(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4604303 take away 0.743412?\nAnswer: 4604302.256588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -11, -2\/813, 4, -2, -10, 2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + m. Let x = 2 + m. What is the first derivative of 0 - 2 - 4*q**x + 1 + 2 wrt q?\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 4*n + 2. Suppose -20*j + 35 = -13*j. Calculate the lowest common multiple of b(5) and j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -654821823.9999979 + 654821851. Let f = -76 - -103. Let b = f - h. Round b to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210592 is divided by 5014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 100344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -6, -12, -28, -60, -114?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*f + 4 = f, 5*a + f - 62 = 0. Solve -11*c = -a*c - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.37 - -21. Let d = 2.38 - 3.55. Let o = d - -1.27. Is t smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 v when four letters picked without replacement from {o: 9, v: 2}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.506\nAnswer: 0.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 0 - 5290\/1150)\/(3\/(-25))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5546012 (base 7) in base 10?\nAnswer: -683951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = r + 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6332442 is divided by 9941?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**8\/5040 + g**7\/252 - g**6\/45 - 17*g**5\/60 + 14*g**2. Let f(k) be the third derivative of q(k). Let f(b) = 0. Calculate b.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2414 + -53315?\nAnswer: -100133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(1125\/10) + (-6)\/(-45)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 2*l - 2*l)*(3*l**3 - 3*l**3 + 2*l**4) + 60*l**5 + 52*l**5 + 121*l**5 + (2 - 3 + 2)*(2*l**2 + 2*l**5 - 2*l**2).\nAnswer: 231*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70 + 101. Let u be (-2)\/((2\/41)\/1). Let d = u + p. Put d, 3, -3 in decreasing order.\nAnswer: 3, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4378015 to the power of 1\/2, to the nearest integer?\nAnswer: 2092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -4 + 1 - (3 + -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 14*g + 89. Let f be p(-6). Let y = 22 - -2. Suppose -f*q - 3 = l - y, 0 = 5*l + q - 9. Solve -3 - l = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) -797 (c) 2 (d) 105 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 276\/161*35\/(-15)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8278948589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(540)*-4)\/(sqrt(125)*2*-1).\nAnswer: -48*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = x - 14, 75 = 5*x + 4*i + i. Let p(t) = -24*t**2 - 2*t + t + 22*t**2 + x - t**3. List the prime factors of p(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 80634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 74\/5 of a tonne?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + m + 31. Let y = 126 - 110. Calculate the remainder when f(0) is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38289.6567 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.713819 micrometers in millimeters?\nAnswer: 0.001713819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**4 + 2900*b**3 - 69595*b**2 - 150750*b = 0. Calculate b.\nAnswer: -603, -2, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 2\/1009 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1452 + 1456. Sort u, 132, -1\/4 in decreasing order.\nAnswer: 132, u, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 6 in decreasing order.\nAnswer: 6, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6129 + 11174. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253351756?\nAnswer: 2, 7, 73, 17707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 0.01884.\nAnswer: -0.07536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 433 = 3*g, -13*j - 132 = -4*g - 1522. Is j at most as big as 425\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/16 - (-218)\/8. Solve -5*u + 40 = 5*t, u = 5*u + 3*t - y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 12:33 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1204.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 3*k + 13 + 24 = 0, 4*k + 6 = -2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 18 - 21. Suppose a - 77 = -16*o. Calculate the least common multiple of o and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 6*b**3 - 41*b**2 - 3*b + 54. Let n be h(7). Solve -n*l = 4*s - 86*l + 4, 22 = 5*s + 4*l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (2 - 5) + -6 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/6 (b) 0.5 (c) -20 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i**2. Let b(x) = -1787131*x. Calculate b(m(u)).\nAnswer: -14297048*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**0*u*u*u**3*u)**(-17) assuming u is positive.\nAnswer: u**(-119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, -0.1, 0.18, 82\/11, 4, -1\/5?\nAnswer: 82\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - -1) + 1 + -3. Suppose 2*r + 2*b - 80 = 0, d*r + 0*r - 4*b - 92 = 0. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 12*z**2 - 3*z. Let i(o) be the second derivative of -17*o**3\/3 + o**2\/2 - 1095*o. Calculate i(p(d)).\nAnswer: -408*d**2 + 102*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2427 - 2495) + 64 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) 2 (c) -2\/9 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*u + 10, 4*u + 2*w + 3*w = 24. Suppose 3*a + 8 = -4*g + 5*a, 4*a = 0. Let v be 48\/30 + 1*g. Which is bigger: v or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m - 3. Let h(o) be the first derivative of o**2\/2 - o - 2. Let b = -5 + 7. Suppose -b*w - 4*f - 4 = 2*w, -w + 3*f = -7. Determine w*p(v) - 3*h(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3204842918 to the nearest integer?\nAnswer: 1474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 190350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5821\/210 - 459\/14. Find the common denominator of -89\/12 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67 (base 9) to base 12.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (129 - -1) + (-5)\/((-15)\/(-9)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, r: 2, w: 4, o: 1, f: 2, h: 2}. Give prob of sequence fowb.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.0342 rounded to one dp?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -693204.\nAnswer: -693204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 12*u**2 - 82*u - 10. Let r be v(7). Calculate the highest common divisor of 96 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - (-432)\/204)\/1. Which is the fourth smallest value? (a) -1 (b) 0.2 (c) 27 (d) 0 (e) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/4 + -1)*4. Suppose -245*j = -241*j - 92. Let x be (j\/69)\/(2\/(-30)). Sort 2, x, f in decreasing order.\nAnswer: 2, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0080869895 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3944 is divided by 1122?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 430 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -29706902039269 plus 1?\nAnswer: -29706902039268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x. Let h(k) = -5*k + 2. Determine h(g(a)).\nAnswer: -5*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75649, -73127, -70607, -68089, -65573, -63059, -60547?\nAnswer: -58037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 - 0)*(-4)\/(-8) - -7. Suppose -n = -5*b + 34, h*b - n = 4*n + 16. Suppose -2642 = -b*c + 2*c - 3*q, -2*c - 3*q = -1055. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28155229 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b**4 - 1683*b**3 + 3744*b**2 - 2487*b + 414 = 0. Calculate b.\nAnswer: 1\/4, 1, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*v**3 + 4*v**3 + 0*v**3)*(386*v - 1373*v - 984*v - 3 + 309*v) to g*v**2 + p*v**4 + a*v**3 + u + s*v and give p.\nAnswer: 1662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2980*o = 2988*o - 48 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/348)\/((55\/(-250))\/11) and -97\/10.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31660*b + 57*b**2 - 4*b**3 - 31660*b to the form c*b**3 + z*b**2 + k*b + x and give z.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4)*(23 - 15)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-12 - (11 + -10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**3\/2 + q**2\/2 - 1455*q. Let n(s) = -7*s - 2. Let k be 1\/5 - 21\/5. Determine k*n(l) - 10*g(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 529357129 to the power of 1\/3, to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1653504077.\nAnswer: 1123, 1472399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2614049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i + 12279 - 12245 = -5*d, d - 2*i = 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 369, 390, 431, 498, 597?\nAnswer: 734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 3*q - 3*r - 17, -4*q + 2*r = 42. Let o be (q\/8)\/((-2)\/10). Suppose 149 = o*p - 36. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/105 - -23\/35. Let p(d) be the second derivative of 1\/20*d**5 - u*d**3 + 1\/3*d**4 + 0 - 8*d - 3*d**2. Give p(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + 5*m**2 - m**2)*(-3 + 3 + m**2) - 2*m**4 + 24*m**2 - 24*m**2.\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3282, 6559, 9832, 13101, 16366, 19627, 22884?\n\"Answer: -2*u**2 + 3283*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-4) + -1)*6. Let y(z) = -4*z**2 - z - 3*z**3 + 5*z**3 - x + 5 - 3*z**3. Determine y(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 40. Let t(l) = -l**3 - 6*l**2 + 10*l + 14. Let j be t(k). What is the common denominator of (0 - -1) + j\/10 and 67\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 1 + (34 + -31 - (-3 + -5)) + -3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -5*b**5\/4 - 559*b**4\/4 - 1993*b**3\/4 + 6331*b**2\/4 - 2211*b\/2 + 162 = 0.\nAnswer: -108, -6, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.1517 - 14113599\nAnswer: -14113599.1517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/6 and -49\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + l**2 + l + 8. Suppose 10 = -2*z, 2*j + 16 = -3*z + 1. Give g(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 11:33 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 + 56.095. Let i = x + -0.075. What is the closest to 0 in -0.3, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6\/(-8))\/((-425)\/(-1122)) and -7\/20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -363 divided by -4\nAnswer: 363\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -17, 3.024 in increasing order.\nAnswer: -17, -0.3, 3.024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8215\/(-10))\/1*-2. Let j = u + -960. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2417, -9675, -21763, -38675, -60405, -86947, -118295, -154443?\nAnswer: -195385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*n**2 + 672848*n + 61984328.\nAnswer: -36*n + 672848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 800 = 723 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 - 7*z + 8. Let p(i) = 2*i**2 - 6*i + 8. Calculate -4*m(a) + 5*p(a).\nAnswer: 2*a**2 - 2*a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a**3 + 216*a**2 + 4*a + 54. Give t(36).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = -2*i + a + 66, -4*i = 3*a - 375. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a - 2. Suppose -3*z = 2*v - 5, 0 = v + z - 4*z + 11. Let q be 0\/3 + (0 - v). What is i(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35367*i - 35367*i + 4 + 2*i**2 - 4.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -6853.067 to the nearest one hundred.\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1\/10 (b) -0.1 (c) 2\/13 (d) -5 (e) -1565\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 860222781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*v + 32320 = 3335. What is the greatest common factor of 34 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-559)\/26)\/(2\/(-12)). Let i = c - 81. Factor -2 + 27*g - 4 - 15*g**2 - i*g.\nAnswer: -3*(g + 1)*(5*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.4 - 5.6. Let c = -53\/2 + 26. What is the biggest value in 1, c, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 5*k = y - 25, -5*k = 4*y + 24 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.1 (c) 0.4 (d) 26 (e) -8\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62617061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38\/53 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 29427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16004626 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by -11312?\nAnswer: -3\/808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.62206 millilitres to litres.\nAnswer: 0.04262206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 195aa5 - -3b?\nAnswer: 195b24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 1. Let r(b) = -2*b**2 - 5*b + 8. Suppose 4*l - 5 = -q, 5*l - q = 4*q - 25. Suppose l = -14*g + 7 - 91. Give g*u(p) - r(p).\nAnswer: 2*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -330, 1, 87532 in descending order.\nAnswer: 87532, 1, -330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5120600, -5120604, -5120608, -5120612?\nAnswer: -5120616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(75) + sqrt(75) + 0 + sqrt(75) + 1 + sqrt(75))**2 + (1 + sqrt(75) + -3 - (-1 + 1 + sqrt(75)))**2)*1 + 2)*2.\nAnswer: -11998 - 400*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -24*0.5\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**4 - 708*l**3 - 61146*l**2 + 410824*l + 25283832 = 0?\nAnswer: -178, -19, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 561, 527, 471, 393?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.3. Let y be (16\/(-24))\/(28\/(-6)). Let n = 0.2 - 2.2. Which is the closest to n? (a) y (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + -1 - (-1 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 936 divided by 118249.\nAnswer: 936\/118249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3 = -z, -b = 4*b - 5*z - 15. Suppose -4*u = 5*m + u, -4*m + 27 = -5*u. Let t(h) = 4*h**3 - 2*h**3 - 6 - h**2 - h**m + h. Determine t(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*p + 38, 8*s + 4*p = 11*s - 77. Let l = 6 + s. What are the prime factors of l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 - 56 + 118 + 69033*r.\nAnswer: 69033*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -2\/47, -17, -0.5 in increasing order.\nAnswer: -17, -4, -1, -0.5, -2\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1188 and -397.2.\nAnswer: 790.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 0 + f**3 + f - 5 + 18 - 5*f**2. Let t be j(5). Find the common denominator of 0 + (-51)\/t + 2 and -44\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(10\/4) + 13. Let t be (-490)\/28*(-8)\/10. Solve -w - t = 5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 11*z - 23. Let w be x(7). Let m(v) = -v**3 + 7*v**2 + v + 4. What is the units digit of m(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -697 - 86. Let t = -516 + p. Let o = t + 364. Is 23 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -10. Suppose s + h + 3 = -c*s, -3*s + 11 = -h. Suppose 0 = -s*b + 4*x + 48, 4*x - 47 = -4*b + 1. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98916793, -197833591, -296750389, -395667187?\nAnswer: -494583985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.87 - 0.37. Which is the third biggest value? (a) -1\/3 (b) 1\/3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6848*f = 6957*f - 13899*f - 8084 for f.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 11151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -18 + 23 + -16?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 789?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -89*h**2 + 2*h. Let p(o) = -20*o + 7*o + 11*o. Determine p(s(w)).\nAnswer: 178*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 4 + (4 - (4 + -1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86418?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 809 divided by -5\nAnswer: -809\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -9 - (11 + -6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.033353 to four decimal places.\nAnswer: 0.0334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jffjfj. Give prob of picking 1 f and 2 j.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*1 + 4708*(-410)\/274208.\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -132 - -204. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(19))**2 + sqrt(19) + (-1*sqrt(114))\/sqrt(6) - sqrt(114)\/(sqrt(12)\/sqrt(32) - sqrt(6)).\nAnswer: 4*sqrt(19)\/3 + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -64040808 divided by 2158?\nAnswer: -29676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4, 4*q + 0*y - 10 = -y. Suppose -4*g + 385 = q*g. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9100)\/13000*(164\/84 + (-1)\/(-3))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (2 + -7 + 24)) + 12 + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2 - 2. Let q(i) = -3*i**3 - 498*i**2 + 3*i + 503. Let p(d) = 5*k(d) - q(d). Factor p(l).\nAnswer: 3*(l - 1)*(l + 1)*(l + 171)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 0. Let o = 1828 - 1825. Put o, t, -4, 4 in descending order.\nAnswer: 4, o, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -6ef6be?\nAnswer: -6ef6c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 0, 81, 4, 9, 5 in descending order.\nAnswer: 81, 29, 9, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3557 - 942*m + 3557)*(-m + m**3 - m**3 - m**3) to the form q*m**3 + p*m + x*m**4 + u + y*m**2 and give x.\nAnswer: 942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 - 269 + 0*i**3 - 167 + 271.\nAnswer: -i**3 - 165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 880081419 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -34, -45, -56?\n\"Answer: -11*w - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 272 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -61 - 63 + 19*r + 126 + 9*r in the form g*r + j and give g.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + sqrt(110)*2*-6 + sqrt(110) - sqrt(110)) + 1*sqrt(110)*-4)\/(5*(sqrt(10) - -6*sqrt(10)*-2)).\nAnswer: 3*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3597 + 3604. Suppose -g - 4*g + 8 = -4*r, 0 = 2*r - 2*g + 2. Suppose 24 = r*c - c. Calculate the remainder when c is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83959 - 3*t**3 + 6*t**3 + 83979 + t**4 + 0*t**3 + t**3 to the form l*t + h*t**3 + k*t**2 + v + c*t**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + -3 + -2 + -1. Solve 1 + 1 = q*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 21888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*3\/(-10))\/(1\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -277388486 and -55.65.\nAnswer: -277388541.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13506*u**2 - 9*u**3 + 13507*u**2 - 1 + 0.\nAnswer: -9*u**3 + u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 985210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 100 = 4132. Suppose 9*w - a - 854 = 4*w, -4*w = 2*a - t. Suppose w = -0*s + 5*s. Calculate the greatest common factor of s and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 7:23 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a + a - 3*a)*(2*a**2 + 4*a**2 + 8*a**2) + 3*a**3 - 4*a**3 + 0*a**3 to the form z*a**2 + j*a**3 + o*a + d and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51369, 102739, 154109?\nAnswer: 205479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*c - 20 = -8, -4*c + 8 = -4*n. Let j(h) be the first derivative of -1\/2*h**2 + 0*h - 5 - 2\/3*h**n. What is the second derivative of j(x) wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9fc (base 16) to base 6.\nAnswer: 15500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56325541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 7*l - 4*l + 2*l. Suppose 12 = -3*j + 7*j. Let o(z) = j - 3 + 0*z - z. What is o(q(g))?\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26f + -60a?\nAnswer: -879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlqqzlt. Give prob of sequence tz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 26*h + 31*h = 27, 7*s + 7*h - 3*h = 17 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0653 * -0.04.\nAnswer: 0.002612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 at least as big as -5959?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/24717*-159*6\/(-4). Let m = 10\/107 - x. Factor -2\/11*u**2 + 6\/11*u - m.\nAnswer: -2*(u - 2)*(u - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o. Let r be g(-1). Let n = r + 4. Let y(v) = -7*v - 1. Does 13 divide y(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 7*k**2 - 5*k + 4. Let g be u(-6). Let d = 2 - g. Suppose -4 = -d*f + 72. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/(-27) + 924\/(-54) and -19\/1138.\nAnswer: 3414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-10) + 21\/15. Put f, 2, -4 in increasing order.\nAnswer: -4, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*2\/(-8))\/(42\/(-420))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*c + 311*c + 243*c + 53*c.\nAnswer: 284*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -1022196566\nAnswer: 1022196562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 22, 5, 1, 2, -1 in descending order.\nAnswer: 22, 5, 2, 1, -1, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (4 - 10) + -1 + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2989119.\nAnswer: 3, 7, 37, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 2 - (-3 + -3 - -12) - -3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70428768738*a**2 - 70428768730*a**2 + 140857537474*a**2.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -1, 1\/2, 6, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(8\/(-60) + 57\/90). Let l(b) = -17873*b + d*b**2 + 17873*b. Let y(w) = -3*w. Give y(l(v)).\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3186987823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -65817 or -4672928\/71?\nAnswer: -4672928\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + 9*z + 3. Let g be l(-7). Let h = g + -22. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -460 + 492 - (-9 - -74).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28614565 a multiple of 851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-445)\/(-35) - (-2)\/7. Let i = b + -8. Solve 0 = 4*n + i - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-105) - 46\/(-120).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1318*g - 12*g**2 - 2792*g + 10*g**2 + 298266 - 302374.\nAnswer: -2*(g + 1)*(g + 2054)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 60 - 121 + 61 - t**2 + 2*t. Let y be l(-2). Solve -3*u + 6*s - 9 = 3*s, u + 5*s - 15 = y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x - 25 = 55 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*n**4 - 3*n**3*o + 70*n**2*o + 3*n**2 wrt n.\nAnswer: -336*n - 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-375)\/300)\/(-3*(-3)\/36).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.01 (b) -0.31 (c) 6 (d) -1 (e) 0.06 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 113290285, 113290287, 113290291, 113290297?\n\"Answer: k**2 - k + 113290285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 674705 and 3680.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 7:28 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1002*d**2 - 63*d - 2010*d**2 + 1013*d**2 as z*d + p + i*d**2 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (76*q**2 - 57*q**2 + 98*q**2)*(3 - 2*q - 4 + 4*q) in the form r*q**3 + j + t*q**2 + f*q and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 49*g**2 - 4. Let o(u) be the second derivative of -u**5\/30 - 27*u**2 + 4*u + 7. Let k(c) be the first derivative of o(c). Give k(a(t)).\nAnswer: -4802*t**4 + 784*t**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m = 15*m + 3. Let g = m + 2. Sort -9, 5, 0, g in ascending order.\nAnswer: -9, 0, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81701.\nAnswer: 81701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 w when three letters picked without replacement from {s: 4, j: 5, w: 1, m: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -25. Let u(w) = 4*w + w**g - 4*w**2 - w**3 + 3 - 2*w**2 - 2*w. Let h(b) = b**2 - 1 + 5*b - 5*b. Calculate 3*h(m) + u(m).\nAnswer: -m**3 - 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -4, 1, 0.4, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*z**5 - 1500*z**4 + 27065*z**3\/4 - 2455*z**2\/4 - 18700*z - 10500 = 0. Calculate z.\nAnswer: -5\/6, 3, 4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**2. Let x(g) = -1264*g**2. What is x(d(i))?\nAnswer: -31600*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 6:36 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from hhheoehoo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47020195.\nAnswer: 5, 2081, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 116423 or 116424?\nAnswer: 116424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 50?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 2. Let k be c(2). Suppose 3*s = p + 5, 3*s + 2 + 5 = 4*p. Sort -2, k, p in decreasing order.\nAnswer: p, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 15*o**2 + 3*o + 27. What is k(-15)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 5:55 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/180)\/((-11)\/462)*(180\/6)\/(-3).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 11162124.\nAnswer: 11162124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 2453471712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -99113, -198236, -297339, -396416, -495461, -594468, -693431?\n\"Answer: g**3 + 4*g**2 - 99142*g + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) 2\/3 (b) -0.1 (c) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 8, 4, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2674094*b**3 + 8762649*b?\nAnswer: 16044564*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1.4 (b) 1\/3 (c) 3198 (d) -1 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 14*u + 23. Let s be l(-18). Let c = -25 + s. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73\/13 + 1307\/117. Determine m so that -2\/9*m**2 + 88\/9*m - 160\/9*m**3 + 8\/3 + i*m**4 = 0.\nAnswer: -2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 3:22 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37257*t**6 + 209*t**5 + 12435707*t**2?\nAnswer: -4470840*t**3 + 12540*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5391*r**4 - 2392*r**4 - 2383*r**4 - 1 - 2*r**4 + 1 - 2*r + 2*r + r**4 + (0*r**4 + 0*r**4 + 2*r**4)*(-5 + 1 + 2) - 4*r**4 + 4*r**4 + 4*r**4.\nAnswer: 615*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-21)*(-7)\/(70\/4)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -10 + -3 + 0 - 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(3\/10)*f))\/f**(-2))\/(f*f\/((f*f**1)\/f))**(8\/9))\/((f**(-1))**45\/(f**(-3)*f*f*f**(-3)\/f*f)) assuming f is positive.\nAnswer: f**(3763\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v**2 - v. Let t be x(1). Let d(c) be the first derivative of c**2\/2 - 6*c + 1. Let b be d(t). What is the biggest value in -2\/3, b, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 31*j**3 + 93*j**2 + 12 - 93*j**2 + 15*j**3 - 27.\nAnswer: -16*j**3 - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2554 + 2553. Put o, 4, 2, 3 in descending order.\nAnswer: 4, 3, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 490, 507, 542, 595, 666, 755, 862?\nAnswer: 987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52 and 280?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/3)\/4 + 62. Let c = f - 16. Let s = -34 + c. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 699189047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3284688 and 8808?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - 2.7. Let c = -274.45 - -1.45. Let o = -277 - c. Which is smaller: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/90948 and -67\/660?\nAnswer: 454740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -357\/96029 or 0?\nAnswer: -357\/96029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 13) + (263 - 252)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1582008 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80 + 76. Let h = 1212 + -3698\/3. Find the common denominator of ((-2)\/n)\/((-105)\/(-810)) and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 12 = 0, 0 = -0*u + u + 5*z + 20. Solve u = 2*f + 1 + 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 19 + -1 + -15 + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -507\/5 - -101. What is the closest to -1 in l, -3.8, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6884*p**2 + 5 + 43*p**3 + p - 6884*p**2 - p.\nAnswer: 43*p**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0, 363 in ascending order.\nAnswer: 0, 13, 363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 374726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 9) + 9 + 6 - 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 57*l - 9. What is n(-3)?\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 48 = -0*s. Suppose 11*o + 75 = s*o. Solve -7*z + 2*z + o = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17*-3*((-22)\/6)\/(29557\/(-10748))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 0*l - 145. What is the remainder when l is divided by 9\/((-45)\/(-68)) + (-12)\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -200, -0.04, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(4 - 0 - 6). Suppose b = 2*d + 9*d - 6*d. Factor 0*y + d + 1\/2*y**5 + 0*y**2 - 1\/2*y**4 + 0*y**3.\nAnswer: y**4*(y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8519, 34060, 76635, 136250, 212911, 306624, 417395?\nAnswer: 545230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.07 + -0.04. Let n = 4.03 - z. Which is the third biggest value? (a) n (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d + 7. Let g(r) = -4*r**3 + r + 1. Let j be g(-1). Suppose 4*h - j*z = -0*h - 20, 3*z + 34 = -4*h. Is x(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 + d**2 - d**2 + (3 + 0 - 1)*(-2*d**2 + d - d) - 2*d**2 + 0*d**2 + d**2 + 4*d**2 - 2*d**2 + 0*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-365*x - 29*x**2 + 365*x)*(5 + 14*x - 17*x - 5) to c + o*x**3 + z*x**2 + d*x and give o.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -6978?\nAnswer: 2791.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40360 is divided by 5045.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -16335 take away 11?\nAnswer: -16346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*u = 2*u + 28, -4*i - 5*u + 27 = 0. Calculate the smallest common multiple of 40 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -25) + (-10 - -44) + -25.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 7*d + 21. Let q = 14 - 23. Let u be g(q). Solve 0 = -5*y + 4*x + u - 25, 2*y + 5*x - 11 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13097*t**3 + 6550*t**3 + 6545*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 - -3.5. Let p = 0.025 + -1.025. What is the biggest value in -3\/5, p, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 3. Let z be d(1). Suppose -5*y = -5*i + 13 - 3, 0 = -z*y. Suppose -14 = -3*r + 4. Solve -2*a - i*p = -r, p = -a - a + 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2211 is divided by 208?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4171.171km to centimeters.\nAnswer: 417117100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*y + 3*n - 8*n + 114, -27*n = -4*y - 25*n + 24 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**2\/n*n*(n\/n**(-5\/4))\/n*(n**(2\/3)\/n)**43*(n**(-5)*n*n*n**(-6))\/(n*n**1)**(-14) assuming n is positive.\nAnswer: n**(95\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*p = -28*p - 200. Let m = p + 246. What are the prime factors of m?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3699 divided by -137?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142 + 11932*f**2 - 144 - 11936*f**2.\nAnswer: -4*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 48 - 32 = 0. Let f be 1\/(-2) - j\/16. Solve -3*u - 2*u - 2*x + 21 = 0, -f*x = -5*u + 29 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + q + 2*q)*(1 + 0*q + 2*q + 1) + 9 - 9 - 3*q**2.\nAnswer: -5*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 158633 or -310?\nAnswer: -310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**3\/2 + 11*s - 12. Let l(j) = 3*j**2 + 37. Calculate l(k(q)).\nAnswer: 27*q**2 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 140955*q**3 - 139*q**2 - 2*q - 124?\nAnswer: 845730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (8 + -5)) + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 404*k - 5750 + 909 - 7 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -10. Suppose -a = -m + 2. Suppose 9 = 4*g + 1. Put 0, a, g in increasing order.\nAnswer: a, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 1 = 4*c, -3*q + 148*c - 25 = 152*c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 2*r + 1 = 0, 8*b + 3*r - 9 = 7*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b**3 - 15*b**3 - 24*b**3 + 2 - 3.\nAnswer: -26*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9.233731 days?\nAnswer: 797794.3584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10091.39 litres in millilitres?\nAnswer: 10091390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5 plus -1.26?\nAnswer: 1.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, -2344, 1, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 298, 1\/47, -1\/6, -3, 0.5, 5 in descending order.\nAnswer: 298, 5, 0.5, 1\/47, -1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/21)\/(5\/15) + -38349. Round i to the nearest 1000.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.01 (b) 0.1 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -190791 + -0.5\nAnswer: -190791.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, 34, 6.4, -4, -0.4 in ascending order.\nAnswer: -4, -3, -0.4, 6.4, 7, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drr when three letters picked without replacement from ollirililoorllliidl.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 9*j + 4. Suppose -2*p - p + 30 = 0. Give u(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (13 - 3)) + 14\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19, 2\/7, -5, -1\/5?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -230141, -230027, -229915, -229805, -229697, -229591?\nAnswer: -229487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llj when three letters picked without replacement from {j: 5, l: 3, g: 1}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -12b8816 (base 12) to base 15\nAnswer: -4d9343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7626*m**2 - 38119*m - 17. Give z(5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6988 * 40.\nAnswer: 279520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -41093\/225 > -184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**3 + 2*o**3 + 0*o**3)*((1 - 1 - 2*o)*(2 - 2 - 2*o) + 1473 - 1473 - 60*o**2).\nAnswer: 112*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, f: 2, j: 3}. Give prob of picking 2 x.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y - 12. Let g(z) = -61*z**2. Give c(g(r)).\nAnswer: 183*r**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l + 5*l + 10*l + 2*l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (-2 + 3) - -24. Let n(b) = 4*b - 5. Let f be n(2). Calculate the highest common factor of l and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-11 - -13) + (-11 - 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1035*g = 32913 - 828 for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3883 and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/6 + 1\/3. Let w(b) = -b - 1. Let g(c) = -6*c**2 + 9*c + 9. Let n(z) = g(z) + 9*w(z). Let y be n(j). Which is smaller: -7 or y?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 c, and 1 h when four letters picked without replacement from {k: 2, q: 1, h: 2, j: 1, c: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*g*l**2 - 58363*g*l + 59979600*g wrt l?\nAnswer: 20*g*l - 58363*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -36580*h + 36286. Give t(1).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-15)*(-10)\/(-8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + i**2 + 3*i - 2. Let x(t) = 2*t**2 - 22*t + 22. Suppose -4*u = 24 - 64. Let y be x(u). Give h(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -310*r**3 - 124*r**2 - 124*r. Let w(k) = 2*k**3 - k**2 - k. Determine 124*w(t) - z(t).\nAnswer: 558*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 6360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/15 + 357\/35. Solve 0 = -3*y + 2*k + 1, 6*k + a = -2*y + 2*k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.78511 micrograms in milligrams?\nAnswer: 0.07078511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131854*o**4 - 2*o**3 - 63*o**2 + 2*o + 671.\nAnswer: 3164496*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 81371.6 to the nearest one thousand.\nAnswer: 81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 18 + 7*s**3 + 93*s + 20*s**4 + 75*s**2 + 7*s**4 - 124*s**3 = 0?\nAnswer: -1\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (10500\/(-40))\/7*(-5)\/((-15)\/(-974))?\nAnswer: 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*j**3 + 2*j**3 + 6*j**3)*(-4*j + 0*j + 2*j)*(-3 - 12 - 7) as p*j**4 + x + d*j**3 + l*j + r*j**2 and give p.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 3, 1, 9\/7, -0.3, 11642, 1\/9?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 588*f + 303 = 2*a - 280*f - 280*f, 5*a - 5*f = -60 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/1183?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2093\/30 - 349\/5. Let y(b) = b**3 - 9*b**2 + 9*b - 7. Let w be (1 - 0) + 8 + -1. Let v be y(w). Is v <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 7. Let l(t) = t**3 + 14*t**2 - 17*t - 21. What is the smallest common multiple of (11\/(-2))\/(2\/(-4)) and l(c)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k - 3. Let p be z(2). Let c be (-114)\/(-10) - 2\/5. Suppose -5*x = -15, 4*d + 0*x - c = 3*x. Solve -4*t + 20 = -p*t, -d*w - 11 = -t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dyddyyydyd. Give prob of picking 2 y and 1 d.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 - -32. Let z be h*((0 - 4) + (-225)\/30). What is the greatest common factor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + -1*(0 + sqrt(1152)) + 1))**2.\nAnswer: -1200*sqrt(2) + 28825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-50)\/75 + 14\/3. Is (-17)\/((n - 8)\/44) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1600 is divided by (((-3)\/(-2))\/(-3))\/((-3)\/(-90))*-3.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 5*z + 4*s, -4 = 11*z + 51*s - 46*s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m**3 - 5*m**2 - 3*m. Let c(d) = 2*d + 59*d**3 + 11*d**2 - 50*d**3 + 5*d. Calculate -6*c(v) - 14*r(v).\nAnswer: 2*v**3 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**3 - 27*j**2\/2 + 48*j. Let o be t(7). Let g be 4\/(-14) - (-2526)\/21. Calculate the greatest common factor of o and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 29*u = -32*u + 75, -105 = -2*j + 3*u. Let r(a) = -a**2 + 23. Let n be (1*(1 + -1))\/(-2). Calculate the remainder when j is divided by r(n).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/2805 and -39\/468820?\nAnswer: 23909820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -100 - -96. What is the biggest value in 4, 0.2, -1\/3, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (60*o + 67*o + 14*o)*(o + o**2 - o + 4*o**2 - 3*o**2 - 4*o**2 + (3*o + 0*o - o)*(-3*o + 0*o + 5*o)) in the form n*o + z*o**3 + h*o**2 + q and give z.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2640561 and 1298451?\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 2*m**2 + m + 4. Let q(d) = -d. Let t be q(-3). Let p = 126 + -81. Calculate the remainder when p is divided by s(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 724547436 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 5*f - 8659 - 13916, v + f - 4511 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 330341 and 570589?\nAnswer: 6276479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l + 0*l)*(-3 + 7 + 2).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3561 or -67664\/19?\nAnswer: -67664\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1053*k - 7419 = 1005 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -119323, -119322, -119321, -119320?\n\"Answer: i - 119324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8970087?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12481397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*l - 99*l + 296. Solve 0 = l*m + 69 - 53 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 7 - 23*a - 36*a - 52*a to g + q*a and give q.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-644)\/28 - 26)*(1\/1)\/1.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -345.3109 times -0.4?\nAnswer: 138.12436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 2238006?\nAnswer: 1\/1119003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81068783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/9)\/((34\/(-255)*5)\/(-6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -87, 7, 1 in descending order.\nAnswer: 7, 4, 1, 0, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 55 - 12*m + 21*m**2 + 6*m - 19*m**2 - 69 - 6*m as n*m**2 + k*m + q and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*b + 2*v - 4, 5*b + 2*v = -3. Let u be b\/(-4)*(1 + -1). Determine c so that c - 3\/2*c**2 + u + 0*c**3 + 1\/2*c**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 - -26. Let v = -676 + 933. Suppose 251*w + 102 = v*w. What is the greatest common factor of w and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1697*-58\nAnswer: 98426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2 = 2*j, -3*j = 4*i + j + 4. Let u(l) = -3*l - 7. Let z be u(-5). Suppose -b - c = 3*b + z, -2*c + 14 = -2*b. Sort 4, b, i in increasing order.\nAnswer: b, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*z**3 - 27*z**3 - 28*z**3 - 115*z**2)*(1 - 5 - 26).\nAnswer: -30*z**3 + 3450*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 271128 and 7662.\nAnswer: 346230456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eenngngennneenn. Give prob of picking 1 e and 2 g.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 10\/(-16))\/((-215)\/1720). Let q(k) be the second derivative of 1\/50*k**5 - 1\/45*k**4 - 1\/225*k**6 + 0 + 0*k**i + 0*k**2 + 7*k. Solve q(l) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 5*u + 236 = 0, 119*s + 126*s - u + 260 = -124*s + 365*s for s.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**3 - s - 31968 + 31892 + 2*s**3 - 3*s**2 + (4 - 4 - s)*(5*s**2 - 3*s**2 - s**2) to the form w*s + k + t*s**2 + m*s**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/3)\/(65*15\/975).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*b**4 - 32556*b**3 - 146616*b**2 - 195536*b - 65184 = 0. What is b?\nAnswer: -2, -1\/2, 4074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/16)*z)\/(z*z**(-8))*(((z\/(z\/z**(-2\/13)))\/z)\/z)\/(z*z**7))**(-19) assuming z is positive.\nAnswer: z**(8265\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 447417 - -200072. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 9*j**2 - 12*j + 19. Let a be m(7). Let s(w) = -a*w**2 + 25*w**2 + 3 - 5 + 32*w**2 + 65*w**2. Let q(o) = -o**2. What is q(s(z))?\nAnswer: -7921*z**4 + 356*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 6:59 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5 - 3 + 0 - 3*r. Let q be k(-7). Solve 3*b - 7*b = -3*d - q, 26 = -d + 5*b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*u + 25*u + 267 = 0. Let q = u + -84. Solve -a = 2*a - 2*l - 1, q*l = 4*a - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, 0.4, -5, 6, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c**3 + 6*c**2 - 3*c - 7. Let y(i) = -2*i**3 + 3*i**2 - 2*i - 3. Let w(g) = 3*o(g) - 7*y(g). Give w(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 527, 1031, 1513, 1973?\n\"Answer: -11*n**2 + 537*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**9*o))\/(o\/((o**(-2\/23)*o)\/o))*(o\/(o**2*o))**(-6\/5) assuming o is positive.\nAnswer: o**(-999\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((1 + 3)\/((-120)\/(-8)))\/(2 - 4). Which is the nearest to -8\/3? (a) k (b) -2 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 799195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by -60\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 1990857?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67*p**3*z**3 + p**3 + p**2 + 459568*p*z**3 + p - 124988103 wrt z.\nAnswer: 201*p**3*z**2 + 1378704*p*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -336 - -336.000002793. What is k rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-5))\/(r\/(r\/(r*r\/(r*r**(-1\/6))*r))))\/(r**(-3\/4)\/r**(-1))*r\/r**(2\/5)*(r\/(r**(-4)\/r))\/r*r*r*((r*r*r**(-1)*r)\/r)\/r*r*r**5 assuming r is positive.\nAnswer: r**(1031\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (101 - 0) + (24 - (-31 + 27 + 28))?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144972506 by -698.\nAnswer: -207697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1407681\/391 + 61868\/23. Let o = 2729\/3 + b. Find the common denominator of o and (-28)\/3*7\/(-8).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m**2 + 63*m - 31. Let p be h(12). Suppose -t + 3*t = 0. Sort -4, -1, t, p in decreasing order.\nAnswer: p, t, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 290152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 4*o - 7*o. Let w be (4 + -1)\/(-6)*o. Suppose 2*k + 2 = -3*z - 4, -5*z = -5*k - w. Sort 3, k, -3 in descending order.\nAnswer: 3, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 9) to base 11\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161, -130, -99, -68, -37, -6?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.13 - -6.87. Let m = 6 - l. What is the biggest value in 3\/7, m, -2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 159302*w + 159306*w = -23, 3*w = -4*m + 16 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -8383, -14, 2\/13, 4, -2 in increasing order.\nAnswer: -8383, -14, -2, 2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k - k**4 + 2*k + (-14*k**4 + 3*k**4 + 3*k**4)*(3 - 2 - 2) to the form b*k**3 + o*k**2 + i*k + v + g*k**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1919*k**3 + 3836*k**2 wrt k?\nAnswer: -11514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 72*l.\nAnswer: -2*l*(l - 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172400*i - l = -172404*i - 5*l + 84, -5*i = -5*l + 55 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1347638 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -73 (b) -0.21 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -683 + 1299. Let v = c + -3094\/5. Calculate the common denominator of 49\/9 and v.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 5*k - 2*p + 88, 0 = 4*k - 4*p - 208. Calculate the remainder when 233 is divided by k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**3\/5 + 12*a**2\/5 - 48*a\/5 - 4. Factor u(r).\nAnswer: -3*(r - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6968*b**2 + 261*b - 126*b - 133*b + 6974*b**2.\nAnswer: 6*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*g - 7 = 0, 12 = -5*d + d - 4*g. Let n be d - (2\/(-7) - 2). What is the nearest to 1\/3 in 1\/2, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**3 - a**2 + 4*a. Let k(y) = -5*y**2 + 4*y**2 + 6*y**3 + 7*y - y**3 - 2*y. Let h be (-4)\/14 - (-46)\/14. Determine h*m(f) - 2*k(f).\nAnswer: 2*f**3 - f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10200100001001 + 21120?\nAnswer: 10200100022121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 7986*c**2 + 4315*c**2 + 7017*c**2 in the form t*c**2 + k*c + u and give t.\nAnswer: 19318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 655227 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 566 and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c - 2. Let q be l(2). Let v be -2*4\/(-16)*q. Let i(t) be the first derivative of -t**2\/2 - t + 5. Give i(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 13. Let a = 2513 - 2522. Let m = z - a. What is the fourth biggest value in 0, 2\/7, 2\/17, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(5\/8))\/((d*d**(-6\/17))\/d))**(-16) assuming d is positive.\nAnswer: d**(-198\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + -1*(1 + (sqrt(1053)*-1 - sqrt(1053)) + -3*(1 + sqrt(1053)))) + -3 + 3)**2.\nAnswer: 90*sqrt(13) + 26326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 113 = -w, -w = 4*w - 15. Let o be 1\/3 + n\/30. Let d = 2.04 + -0.04. Which is the second smallest value? (a) d (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 239.37333 months?\nAnswer: 1.99477775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 69 + 4*u + u - 4*u + 2*u**2 + 15*u - 74 - u**3. Give y(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.25 - -0.05. What is the closest to -2 in -3, -0.4, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 32 = -4*r, 2 = -x - 0*x + r. Suppose 0 = -3*p - 3*y + 30, y = -x*p - 4*y + 34. List the prime factors of (-12)\/(((-30)\/p)\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 975512515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 60033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (1 - (-6 + (10 - 9)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 30*n = -31*n - 16, 0 = 3*j + 5*n + 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - r - 3*r**2. Let j(f) be the third derivative of 0*f - 21*f**2 + 0*f**3 + 0 - 1\/8*f**4. Give j(p(n)).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 60*q**4 - 12*q**2 + 7*q. Let r(c) = -61*c**4 + 13*c**2 - 8*c. Let m(f) = -4*r(f) - 5*v(f). Find the third derivative of m(j) wrt j.\nAnswer: -1344*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**3 + 9*u**2 - 7*u - 1. Determine k(6).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 556, 1003, 1464, 1939?\nAnswer: 2428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyhxgxgvyyyyg. What is prob of sequence xv?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 22716 = -b + 1607, 2*n = 3*b - 72969. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 6 = 2*t - 14, 3*o + 6 = 4*t. Suppose 3*n = p - 14, -p = -t*p + 2*n + 12. Let 4*d**3 - 7*d**2 - d**2 + 4*d**p = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 206464537277233 and 2?\nAnswer: 206464537277231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrhwrhp. Give prob of picking 1 w, 1 r, and 1 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9563 * 11.4.\nAnswer: 109018.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -86543.2 to the nearest 100.\nAnswer: -86500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -3\/2, -2\/11, 0.3, 1\/4.\nAnswer: -3\/2, -2\/11, -1\/6, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2756 and 468?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38310230 is divided by 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-10)*(-10)\/(-78). Let n = -4\/39 + u. Which is the closest to 0.1? (a) 0.2 (b) n (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/2)\/y**(10\/7)*(y\/(y**(-2\/59)\/y*y))\/y*y*y**21*y assuming y is positive.\nAnswer: y**(16607\/826)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 277b?\nAnswer: -277a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-235 - -269) + (-27 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*x + 5*v, x - 3*v + 62 = 63. What is the remainder when 45 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153.44454 months to millennia.\nAnswer: 0.012787045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 + 15)\/(-2 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 51*q**2 + 315*q + 15. Let v(k) = -50*k**2 - 311*k - 14. Let i(m) = -3*v(m) - 4*z(m). Factor i(l).\nAnswer: -3*(l + 6)*(18*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m + 3*m - 57 - 66 - 130 - 121 to h + t*m and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwg when three letters picked without replacement from nlcdgnw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-15) - 0)*-15 + (-14 - -52). Suppose -11 + 42 = h. Are o and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -935*u + 1. Let z(x) = -45*x. Calculate a(z(t)).\nAnswer: 42075*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1023 + -113544?\nAnswer: -115011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 541, 1235, 1923, 2605, 3281?\n\"Answer: -3*k**2 + 703*k - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2. Let n(v) = v + 23. Let i be n(3). Let j(w) = 786 + i*w - 786 + 88*w. Calculate l(j(o)).\nAnswer: -25992*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*h**3 - 31518*h**2 - 85664*h + 27048 = 0. What is h?\nAnswer: -3, 2\/7, 2254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161, -162, -153, -128, -81, -6?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.145 - 233651?\nAnswer: -233650.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.048 (b) -1\/4 (c) -3\/2 (d) 0.3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 49 + 202586*b**3 - 85.\nAnswer: 202586*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/30)\/(1\/267) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 4*t + 2 + 8 = -1, 0*v - 60*t - 48 = v - 5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16354845643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 2*z**2 - 4. Let b = -37 - -31. Let t be (((-4)\/b)\/(-2))\/((-17)\/(-153)). Let n be s(t). Solve c - 6*c = -n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28460 and 3291399.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -146\/777 or 1?\nAnswer: -146\/777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 10 + 3 - 106*q**2.\nAnswer: -106*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*t = -23 - 823. Suppose -5*c = -c - 3*f + 31, -2*c - f - 3 = 0. Put t, 1, c in ascending order.\nAnswer: c, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*q + 23*q + 5. What is the greatest common factor of 5 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0\/(-4))\/((-11)\/((-143)\/(-377)) - -17).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59566 - 11566. Suppose c = -j + 5*j. Round j to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 11:18 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1836)\/(-9)*(95\/10 - 5). Calculate the greatest common divisor of f and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 23, 5, 10, -8 in descending order.\nAnswer: 23, 10, 5, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 15, -0.1, -31, -5, -1\/8.\nAnswer: -31, -5, -1\/8, -0.1, 0.08, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 = -8*o - 35*o - 47. Let l(v) = v**3 + 6*v**2 - 9*v - 8. Calculate l(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/978 and -149\/1464.\nAnswer: 238632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32.4 + 32.5. Let i = 0.06 + 4.94. Which is the smallest value? (a) n (b) i (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.189, -1.9, -4?\nAnswer: 1.189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 >= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/1)\/((-4)\/(-28)). Suppose 3*s - s = -p, -5 = 5*s. Let y = u + p. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 434.257738 + -434.677341263. Let b = j + 0.4196. What is b rounded to seven dps?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -552.4, -0.4, 5.\nAnswer: -552.4, -29, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 4*l**2 - 116*l - 8. Let s(b) = -5*b**3 - 22*b**2 + 586*b + 41. Determine 2*s(h) + 11*t(h).\nAnswer: h**3 - 104*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*o + 3*o - 239, -4*o + 4*g + 196 = 0. Calculate the smallest common multiple of o and 30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67.1458 - 49.145825. Let g = -0.13 - -18.13. Let h = z - g. Round h to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 364911 = 3*t, -4*t + 0*g - g + 486548 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16096018, -32192035, -48288052?\nAnswer: -64384069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/245 bigger than -238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -26)*(-4 - 1). Let p = g + -755\/6. Let l = -4.5 - -5. Which is the second biggest value? (a) l (b) p (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.88 + 4. Let z = 6628.119932 - 6628. Let h = z - b. What is h rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8527465*n - 1899939*n - 799952*n.\nAnswer: -11227356*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*f - f - 2*f - 24*f**2 - f wrt f.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1232, -1817, -2422, -3053, -3716, -4417, -5162, -5957?\nAnswer: -6808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1900 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -0*g - 3*f + 105, 4*g - f - 160 = 0. Calculate the remainder when g is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3723.7 + 3735.7. What is the nearest to 1 in 3, -2\/7, 2, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 185\/36921612 and 61\/710031.\nAnswer: 36921612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (4 - 3 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 3. Suppose s = g + 7 + 8, -g + 2*s - 10 = 0. Determine k(g).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-2) - -2 - -4. Suppose 2*p + p - f*y = 78, 4*p - 105 = 5*y. Calculate the greatest common divisor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-845)\/(-130) + 3\/(12\/(-10)) + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-4 - (3 - (6 - 4)))) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21113231331 (base 4) in base 7?\nAnswer: -26610435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = 10*v - 27. Let l be 63\/v + (-10)\/6. Let n(m) = m**3 + 4*m**2 + 5*m + 6. What is n(l)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -562*v**2 + 8531 - 4263 - 220*v**6 - 170*v**6 - 4269 wrt v.\nAnswer: -46800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2\/7, -14669, -1\/5, -3 in decreasing order.\nAnswer: -1\/5, -2\/7, -0.5, -3, -14669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-360)\/105*14\/(-4). Let n(t) = -t**2 - 7*t - 7. Let x be n(-5). Let s be 2\/x*w\/4. Put -0.5, -2, s in descending order.\nAnswer: s, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i + 13*i - 4*i to f + b*i and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-15)\/2)\/(3\/(-12)). Suppose 2*t + 39 = 6*n - 3*n, n + 5*t - h = 0. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y*((y*y**(-2\/5))\/y)\/y*y)\/y)\/y*y)**(1\/5)*(y**9*y)\/(y\/(y*(y\/(y**(-2\/9)*y))\/y)))**(-1\/11) assuming y is positive.\nAnswer: y**(-2102\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1702 and 2282234?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/16, 4, -3, 3 in descending order.\nAnswer: 4, 3, -1\/16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 0. Let j(h) = -8*h**3 + 2*h**2 - 2*h + 1. Let y be j(1). Let u(g) = -4*g + 12. Let o be u(y). Calculate the greatest common factor of o and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4788*g + 26 - 21 - 5 - 12889*g + (-5 + 1 + 2)*(g + 0*g + g) + 5*g + g - 5*g.\nAnswer: -8104*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2 - x. Let z(w) = -16*w**2 + 5*w. Let f(q) = -5*k(q) - z(q). Let s(h) = 15*h**3 + 6*h**2 + 1. Calculate -6*f(a) + s(a).\nAnswer: 15*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/70)\/((-18)\/168)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (102\/(-18) + 6)\/((-2)\/54). Which is the second biggest value? (a) 0.1 (b) v (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 11 = a, 3*l + 0 = -a - 17 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1522 - 1519 + 2503)*(-s + s - 2*s)*(4 - 4 + 3) to the form a + g*s and give g.\nAnswer: 3228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/33 in 0.2, 8, -41.4, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 - 3876?\nAnswer: -3889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2908225031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.069 + -7.869. Let u = -8 - g. Which is the second biggest value? (a) -7\/4 (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -1 + (6 - 3) + -1 - 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1690477 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8*g**2 - 10 + 7*g**2 - 12 - 16 + 36 - 4*g. Suppose 3*a - 3 + 12 = 0. Give l(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -357, -3269, -11181, -26595, -52013?\n\"Answer: -417*b**3 + 2*b**2 + b + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 3*l - 1. Let p(y) be the second derivative of -y**4\/4 + 5*y**3\/3 - 3*y**2\/2 - 3*y. Let u = -21 + 7. What is u*z(o) + 4*p(o)?\nAnswer: 2*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.81190498 to 4 decimal places.\nAnswer: 2.8119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198\/363 - 200\/286.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*k + 2*j = -16, -5*j + 5 = 0. Let u = k + -11. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-7)*(-411)\/(-1644) + 4\/14?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - (sqrt(88) + sqrt(88)*-5)*2) + sqrt(88)*4*2 + sqrt(88))\/(3*-1*sqrt(392)*-6).\nAnswer: sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 6*w**2 - 3*w + 11. What is the tens digit of b(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 38\/(-57)*((-11)\/2 - -1). Let n(m) = -16*m**3 - 2*m - 7*m**2 + 3*m**2 - 4 + 17*m**k. Let f(z) = z**3 - 3*z**2 - z - 3. Give 4*f(t) - 3*n(t).\nAnswer: t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 345*c**3 - 116*c**3 + 97*c**3.\nAnswer: 326*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.3205178 rounded to 2 decimal places?\nAnswer: -5.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 21*z - 12. What is x(3)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/72 + 581\/360. Factor -p*j + 2\/5*j**2 + 6\/5.\nAnswer: 2*(j - 3)*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 + 7*z + 8. Let g be s(-1). Sort 15, g, -3, 0.\nAnswer: -3, 0, g, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 11:59 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 8:05 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**6\/6 - 81*o**2\/2 + 43. Find the second derivative of v(w) wrt w.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 g when four letters picked without replacement from gttgtgt?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1419070 or -1419067?\nAnswer: -1419067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2 + d**3 - 7*d - d**2 - 4*d**2 + 11 - 4. Determine p(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9365*g**3 + 9367*g**3 + 1190 + 1261 - 2451.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*v - 16*v - 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2322834 to the power of 1\/2, to the nearest integer?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/273 and 16\/11.\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d - 8. Let r be j(-8). Suppose -9*y + 2*y + 336 = r. Let q = y + 182. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + -10011?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -802056, -3208217, -7218482, -12832851, -20051324, -28873901?\n\"Answer: -802052*d**2 - 5*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - (-6)\/4*(-1 + -1). Let h be (2\/12*2)\/(i\/12). Let o be 2\/4*(-4)\/10. Which is the second biggest value? (a) o (b) h (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 9*q**2 - 5*q + 3. Let z(s) = -s**2 + s - 1. Let o = 71 - 69. Suppose o*h = 3*w - 10, -2*w = -0*h + 4*h - 12. Determine h*u(a) + 5*z(a).\nAnswer: 4*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 5, b: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -19. Suppose 20 = 5*c + y. Find the second derivative of -9*f - 3 + 2*f - 5*f**4 + c wrt f.\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a820a2 (base 11) to base 12\nAnswer: -120a731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 96? (a) -90711 (b) 3 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-42))\/(4\/(-18))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-13350)\/25)\/((-6)\/(-4)). Let r = -235 - l. Calculate the smallest common multiple of 55 and r.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 570 and 475?\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -109701, 1, 2\/13, 4\/5, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, w: 3}. Give prob of picking 3 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*j - 58, -2*j - 4*y + 37 - 103 = 0. Let s(w) = 4*w + 6. Let g be s(10). Let x = j + g. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -9 (b) 3\/185 (c) -2\/21 (d) 0.5 (e) 1 (f) -2\/5 (g) 1\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 5*b - 21, 0 = 4*k + 434*b - 431*b - 17 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -45*w**3 - 4029965*w**2 + 4925570*w - 895560 = 0.\nAnswer: -89556, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-3 + -2 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.4386518 milliseconds?\nAnswer: 438.6518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 at least as big as -31718\/1201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 10:55 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 13 - 1. Suppose -k + c - 5 + 0 = 0, -c = 4*k + 15. Sort t, -3, k.\nAnswer: k, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -266 + 260. Let x = -52\/3 - r. Calculate the common denominator of 23\/19 and x.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(((v\/(v*v**(-21)))\/v*v*v)\/v)*v*v*v)\/v)**(2\/49) assuming v is positive.\nAnswer: v**(-34\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 4:58 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 4, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2488*k - 139473. Give o(56).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3089222 and 27278?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -5*z + 55, -l - 4*z + 277 = 251 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c + 9 + c + 2*c - 4*c. Let w(t) = t + 5. Give -6*n(b) + 11*w(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209939 is divided by 5248?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -6. Let u be (-2)\/3*(-3 + d). Let s(y) = y**2 - 6*y + 7. Let b be s(5). Solve u*f = f + b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)*(u*u**5*u*u)\/u)\/((u**(3\/4)*u)\/((u**(-1\/3)*u)\/u)) assuming u is positive.\nAnswer: u**(-13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2148602.27 rounded to the nearest 10000?\nAnswer: -2150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 1 = -15. Let v be (-2 + -1 + p)*28. What is the greatest common divisor of 21 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(68) + sqrt(68) + (sqrt(68) - (sqrt(68) - (sqrt(68) + -2*sqrt(68) - sqrt(68)))*-4 - sqrt(68))))\/((sqrt(196) + sqrt(196)*1 - sqrt(196))*-2).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 2*z + 4. Let l be m(0). Suppose -l*u + 5*w + 4300 = 0, 5*u - w = -6*w + 5330. List the prime factors of u.\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hsfxhjpsp. Give prob of sequence jsx.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c + 3. Let b(n) = -13*n + 2 + 0 + 9*n - 5. Calculate -6*b(w) - 5*z(w).\nAnswer: -w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*i**2 + 27*i**2 - 498 + 32*i**2 - 21*i**2 + 504.\nAnswer: 83*i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -305 - -837. Suppose -655 = -6*a - 2689. Let q = a + s. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(3 - -1) + -6*1. Let c(s) = -s**2 - 7*s. Let h be c(p). Suppose 0 = -4*o - 23 + 3, 5*l - 3*o - 1310 = h. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/112*4\/1*3\/(-4). Put o, 26, -3\/7 in ascending order.\nAnswer: -3\/7, o, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 16\/3*c**3 + 0*c**2 + 40 - 10*c. Differentiate u(q) wrt q.\nAnswer: 32*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -x - 10. Solve 0 = x*m + z + 1 + 3, 13 = -3*m + 2*z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5079 + 485 + 4347 = 205*d + 1301 for d.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-17 - (-9 + 7 - 9)) + 20 + -73.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 2*x = 3*s + 45, -2*s - 3*x - 34 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 966 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-450)\/(-6))\/(33\/88). Suppose -10*q = 10 - k. Suppose g = -0*g - 2, 4 = -x - 4*g. Solve -f = 5*t, 6*t + q = -x*f + 5*t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2853107 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7.6194 times 2.62\nAnswer: 19.962828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -34, -19, 22, 101, 230?\n\"Answer: 2*q**3 + q**2 - 2*q - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 64 = 2*i, -4*c + 76 = 19*i - 24*i for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 8:48 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 769445 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*h + 2*g, -2*h - g - 16 = -5*g. Let l(x) = h*x**2 + 0*x**2 - 3*x**2. Let w(k) = -2*k. Calculate l(w(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 395725 = -2*y - 2*y + 1586049. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 616 - 613. What is the closest to -2 in 0.2, c, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 37*l - 115. Let o be q(3). Let y(k) = 21*k + 105. Let d be y(o). Solve -4*t + 5 = d for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1929 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -89, -122, -179, -266, -389, -554?\nAnswer: -767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 3*m - r + 8, 1 = -m - r. Factor -6*p**2 - 9 + 9 + m*p**3 + 3*p.\nAnswer: 3*p*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3847269 divided by -1282423.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -19?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110697 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 63635 divided by -5785\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67 + 83. Calculate the smallest common multiple of b and 140.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3024220 (base 5) in base 9?\nAnswer: -73704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -136*t - 1339. Let q be y(-10). Solve -28 = 7*h + q for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 12. Suppose -17*a + 88 = -13*a. Let p be 60\/4*(a\/6 - 3). What is the greatest common factor of p and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -410 + 5*a**2 + 204 + 206.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 1965\/353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -162 - 1\/2*l**2 - 18*l = 0. Calculate l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21262 - -21302. Calculate the remainder when 535 is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d**2 + 15*d - 18. Let o(x) = 18*x**2 + 44*x - 53. Let l(t) = -11*c(t) + 4*o(t). Let q(w) = 2*w**2 + 4*w - 5. What is 4*l(n) - 11*q(n)?\nAnswer: 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**2 - 257*g - 64. Let z be y(-64). Solve 2*u + 6 = 0, 2 = l - z*u - 2*u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t - t + 6*t)*(-692*t + 692*t - 128*t**2)*(0 + 2 + 0)*(1 + 2 - 6) + 2*t**3 - 4*t + 3*t + 3*t to p*t**3 + u*t**2 + w*t + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -214369*a**4 + 427812*a**3 - 212518*a**2 - 924*a - 1 = 0. What is a?\nAnswer: -1\/463, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.55871l to millilitres.\nAnswer: 558.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -22762.08 to the nearest 10.\nAnswer: -22760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -0.34, 18?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, u: 2, e: 1, q: 1, m: 1, k: 3}. What is prob of picking 1 a, 1 u, 1 q, and 1 e?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46448 + -46447.9977717. Round f to four dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 792640 divided by 373.\nAnswer: 792640\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5483215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27542321 and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5322912, 10645824, 15968736, 21291648, 26614560, 31937472?\n\"Answer: 5322912*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*a + 163 - 33 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -156906, -156214, -155522, -154830, -154138, -153446?\n\"Answer: 692*m - 157598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/6 - (-1)\/6. Suppose -2*v = x*v + k, 0 = 4*v + 2*k. Suppose w + 2*j - 9 = v, -4*j + 16 = 4*w - j. Calculate the highest common factor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 22*k**2 - 4*k + 7. Let a be l(-22). Suppose -u + 5*u + p - a = 0, 4*p = 5*u - 103. Solve 3*w - c = 1, w + 4*c = u - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 9:42 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 356.5 + -357. Let m = -20 + 19.77. Let w = m - 0.17. What is the third biggest value in 3, w, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.37051ms to microseconds.\nAnswer: 22370.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, w: 1, u: 1, x: 3, p: 6}. What is prob of picking 1 p and 1 x?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1937, -3878, -5817, -7754, -9689?\nAnswer: -11622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (3 + (-4 - (-7 + 6)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 278, 385, 492, 599, 706, 813?\nAnswer: 920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/8*(-12)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/11 - 136*o**3\/11 + 2312*o**2\/11.\nAnswer: 2*o**2*(o - 34)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27935499 is divided by 813.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 2*o**2 - 2*o - 28. Suppose 40 = -15*f - 20. Let t be m(f). Solve -12*c - t = -9*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - 2310?\nAnswer: -2255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -218847 - 0.347377\nAnswer: -218847.347377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*u - 2*u - 20580. Suppose -11*v - 186 + u = 0. What are the prime factors of v?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -98169?\nAnswer: 98165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 231393926?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (81 + -50 - 52) + -24\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/4*v**3 + 15\/2 + 6*v**2 - 57\/4*v = 0. What is v?\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -315 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-10)\/45840*-8). Let a = 0 + 2. Suppose q = a*i - 469. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7722 - 7722 - 39*i**2 - 76*i**2 + 9*i + 114*i**2.\nAnswer: -i**2 + 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53 by -74.\nAnswer: -53\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13037.\nAnswer: 13037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-9)\/36 + (-292)\/384 and -81\/40.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1\/4, -5 in increasing order.\nAnswer: -5, -1\/4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12078 (base 9) to base 14.\nAnswer: 2d3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnkn when four letters picked without replacement from {n: 7, k: 3}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -7 + 739*m + 16 + 225*m. Is s(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75391146?\nAnswer: 2, 3, 997, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/66738 and 113\/18?\nAnswer: 200214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 5) in base 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*p + 4. Let k = -2 + p. Let 2 + t**k - 2 = 0. What is t?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 6, 0, 2\/227?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v + 55 = -25. Suppose a + 2*p - 26305 = -2*p, -2*a = -v*p - 52622. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/14*(-2)\/12*(-138)\/207?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 61*h**2 - 87*h - 49. What is the ten thousands digit of w(-58)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, y: 5}. What is prob of picking 2 y?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25279 + -25279.08. Which is the closest to -1? (a) 28 (b) -0.3 (c) i (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmmiukirj. Give prob of picking 1 u, 1 k, 1 j, and 1 r.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3300966124.\nAnswer: 2, 825241531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/11 (b) 33 (c) 7\/5 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o**4 + 116*o**3 - 1084*o**2 + 2076*o - 576 = 0. What is o?\nAnswer: -16, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 596736, 596735, 596734?\n\"Answer: -o + 596737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(176))\/sqrt(3).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5553 - -5569. What is the remainder when 1023 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -231019 (b) 1\/3 (c) -5 (d) 1\/28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 517332 - 4?\nAnswer: 517326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 222453054352 - -4?\nAnswer: 222453054400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20408 - 5935. What is the ten thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 - 8*w - 4. Let q be l(6). Suppose j = -4*j - q. Let n = -2 + 0. Sort n, j, 0.4 in descending order.\nAnswer: 0.4, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 y when three letters picked without replacement from ooooyoyomooyooo?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -263 minus -0.2858?\nAnswer: -262.7142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 122*f**4 - 2*f**3 - 44*f**2 - 56038*f wrt f.\nAnswer: 1464*f**2 - 12*f - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x - 8. Let s(n) = -n - 3*n - 8*n + 6*n - n**2 - 3. Let w be s(-3). Give d(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 879\/(69\/(-17) + 4). Let g = b - -418335\/28. Let d = -163 - -1951\/12. Calculate the common denominator of g and d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24 - 32 - -15 - (-6)\/(-2). Solve -2*d = -o + 4, -12*o + 13*o = f*d + 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -48, -5 in descending order.\nAnswer: 4, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8215754 is divided by 7375?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - 2*f - 13. Let m be o(4). Let s(w) = -5 + m - w - 11. Let c(l) = 1. Give 5*c(a) + s(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/433 or -1?\nAnswer: 6\/433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (64\/(-80))\/(4\/50). Put -3, 0, -2, f in increasing order.\nAnswer: f, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 - 48*v + 1 - 6 - 54*v + 6 - 475*v**3 + 100*v to the form t*v**2 + s*v**3 + o + c*v and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3\/10, -2, 6, -1, 5, 1\/16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.043 - 6.057. Let r = y - -3.1. Sort 5, r, 1, -0.08 in decreasing order.\nAnswer: 5, 1, -0.08, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/19, 109, -6, -1\/9, 4, 0.11?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1696390561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 1 + -4 + 7 + 1. Let k = g + -93\/13. Let t = -2.5 + 2. Which is the nearest to 1? (a) k (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**3\/6 + 3*k**2\/2 - 2*k. What is the units digit of j(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105137 times -486?\nAnswer: -51096582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-28) - 38\/(-14). Let s(z) = 2*z**3 - 91*z**2 + 44*z + 78. Let h be s(45). What is the highest common divisor of l and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2521.636t?\nAnswer: 2521636000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34578 + 83*n**3 - 34518 - 8*n**3 wrt n.\nAnswer: 225*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6751 - 6758. Which is the third smallest value? (a) -5 (b) h (c) -4 (d) -4\/9 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.72 and -0.63685?\nAnswer: 2.369082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15311*o**2 + 7339 wrt o?\nAnswer: -30622*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -3*p**8\/280 + 9*p**5\/40 + 2*p**3\/3 + 11. Let q(k) be the third derivative of c(k). Find the second derivative of q(u) wrt u.\nAnswer: -216*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 2*r**2 + 7*r + 3. Is m(-5) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150 and 800?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(176)*4)**2.\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 1. Suppose -i = -s + 1. Let m(c) = 3 + 1 + 2 + s*c**2 - 5. Determine m(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 - 2*v**2 + 3*v**2)*(-31*v - 254 + 254) - 5*v + 5*v - 3*v**3 + (-2*v**3 + v**3 - v**3)*(5 - 2 - 2) - 6*v**3 - 6*v**3 + 10*v**3.\nAnswer: 55*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 4*s - 5*t, 0 = -3*s + 4*t + 16 + 12. Calculate the smallest common multiple of 38 and s.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11183321?\nAnswer: 47, 277, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 758 is divided by 191.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 2*m**5\/5 + 7*m**4\/3 + 4*m**3\/3 - 6*m**2 + 38*m - 19. Let i(l) be the first derivative of g(l). Factor i(d).\nAnswer: 4*(d + 1)*(d + 3)*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -4. Let g(u) = u**2 - 7*u. Let b(j) = 2*j. Determine w*g(m) + 7*b(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17738?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -403*h**2 + 830*h**2 - 3 - 398*h**2.\nAnswer: 29*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -12171.36.\nAnswer: -6085.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 4*d + 10. Let w be t(-6). Let o be w - -4 - (-3 - -3). Factor -6*s - 6*s**2 + 5*s**o + 4*s**2.\nAnswer: 3*s*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p = -12*p - o - 14616, -4*o = 4. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 11:56 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1061475 is divided by 828.\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 69*b - 8743. Calculate a(125).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -859*d**4 + 62 wrt d.\nAnswer: -3436*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3*v - 69, 4*s + 3*v - 7*v - 236 = 0. Is 158\/1 + s\/(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14692.9 - 14693. What is the nearest to m in 0.3, -1, -737?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4489097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2. Let g(w) = -w**3 - 2*w**2 + 2. Let m(c) = g(c) + 3*i(c). Let h be m(-5). Let u = h + -1. Sort -2, u, -3 in descending order.\nAnswer: u, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**2 - 3*s + 2. Let l be y(3). Suppose 0 = 2*g + 7 - l. Solve -g = 3*w + 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**4\/24 - 11*l**3\/6 + 22*l**2 - 3*l. Let h(p) be the first derivative of w(p). Give h(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000058878 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -18865*b - 660283. What is n(-35)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0098066009 rounded to 5 dps?\nAnswer: 0.00981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/6*1*-1. Let b = 17 + -11. Let o(y) = y**3 - 4*y**2 - 11*y - 3. Let k be o(b). Solve t = -3*l - 0*l - k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 603731322 divided by -801\nAnswer: -753722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 35*i + 13. Let c(k) = 18*k + 7. Let b(g) = 5*c(g) - 3*z(g). What are the prime factors of b(-2)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3098863.5 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t - 20*t - 3*l = -4, 0 = 2*t - 2*l + 2. Is t greater than -6\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvgjvzzzvvrrrvjzgqzz. What is prob of picking 1 j and 1 v?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 154533160 to the power of 1\/2, to the nearest integer?\nAnswer: 12431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 20186.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 2*u + 64, -5*u + 65 = 4*w - 165. Is w a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -17.00000032. Round s to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/29 in 0, -2, -50?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qql when three letters picked without replacement from {l: 5, q: 11}.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/64*(-2)\/(-4)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 80 + 2. Suppose -3*d + m = -153, 2*d + 3*m + 0*m = 113. Calculate the greatest common divisor of d and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - 3 + 3)*(23192 - 23192 - 30331*a) to s*a**2 + f*a + b and give s.\nAnswer: -30331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p + 0 - 1 + 68*p.\nAnswer: 72*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/1066 or 0?\nAnswer: 5\/1066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431 = -10*o + 411 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11201 divided by -11201\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(-4*o + 6*o + 6*o) + (2 + 0 + 0)*(-2*o + o + 0*o) + 0*o + 2*o - 4*o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358 = -131*t - 780 - 1019 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2600*i**3 + 2*i**2 - 5*i - 2. Let w(t) = -2592*t**3 + 3*t**2 - 7*t - 3. Calculate 3*j(n) - 2*w(n).\nAnswer: -2616*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -22.4829+-1.4364\nAnswer: -23.9193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 59*k**3 + 7*k**2 - k - 1. Let c(a) = -296*a**3 - 36*a**2 + 5*a + 6. Calculate -2*c(j) - 11*n(j).\nAnswer: -57*j**3 - 5*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 488929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrxxrccrggcurxcxrcc. Give prob of sequence gxr.\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -36, -97, -182, -285, -400?\n\"Answer: a**3 - 18*a**2 - 14*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**3\/24 - 11*m**2 - 968*m - 863. Factor j(f).\nAnswer: -(f + 88)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/14673168 and -83\/1893312.\nAnswer: 58692672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1701, -6806, -15315, -27228, -42545, -61266?\n\"Answer: -1702*b**2 + b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -32806096 divided by 4\nAnswer: -8201524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 5. Let i = m + 3. Let h be ((-32)\/20)\/((-1)\/i). What is the highest common factor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*d**5 + 5*d**3 - 3*d - 12 wrt d?\nAnswer: -1020*d**3 + 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 12 = 3*w. What is the greatest common factor of 6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45242681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 10:12 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 7*a - 10. Suppose 40 = -3*d - 4*l - 52, -5*d - 157 = 3*l. Let r be (3 - d\/(-12))\/(3\/(-45)). Determine f(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ld when two letters picked without replacement from dlz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) -197803 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1597\/10 - 160. Which is greater: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43088?\nAnswer: 2, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -17180062 and -17180062 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**3\/4 + 11*f**2\/2 - 38*f - 16 = 0. What is f?\nAnswer: -8, -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 3. Suppose w - 722 = 5*i. Calculate the common denominator of -2*(-111)\/i*-4 and 21\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*z**2 - 4*z**5 - 19*z**2 + ((6 - 3 - 4)*(0*z + 0*z + 2*z) - 5*z + 4*z - 4*z)*(z**2 - z**2 - z**4).\nAnswer: 3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*q - 174 - 56 + 30 = 0. Solve q*i + 6 + 2 = 2*o, 0 = -o + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**2 - 20 + 31 + 5*x - 11 - 2*x**2 to c*x + r*x**2 + j and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*n**2 - 344*n**3 + 1 + n + 48*n**2 - 186*n**2 + 40*n**2 + 49*n**2 as k + q*n**2 + t*n + g*n**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8778 and 2226.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -4 - 4 - 6) + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + 101. Let v = -136 + c. Let a be (v\/5)\/(-1) + (-6)\/(-15). Solve -7 + a = 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4071*f = 4090*f - 12236. What is the least common multiple of f and 168?\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**3 - 681*c**2 + 35181*c + 280665 = 0.\nAnswer: -7, 99, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/(-8) + -7)\/(((-132601)\/1162)\/(-19) + -6)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*a**2 + 72*a**2 + 48*a**2.\nAnswer: 100*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 z when two letters picked without replacement from blazgzm?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iirhhhzrrzuzhvv. What is prob of picking 2 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 68934505 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -884*j**2 + 42*j - 41. Determine x(1).\nAnswer: -883","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*c**3*q**2 + 315085*c**3*q - 2*c**3 + 334*c**2*q**2 + 22*c**2*q - 2*c*q**2 + 2684*q wrt c.\nAnswer: -192*q**2 + 1890510*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*f + 15 = 0, 3*f - 25 = 2*z - 2*f. Let x = z + 6. What is the greatest common divisor of x and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 7, 0.9, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 40 = 4*t, 3*t - 31*x + 36*x - 34 = 0. Suppose -5*v - 3 = -33. Put t, 3, v in ascending order.\nAnswer: t, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**3\/6 + 10*g. Suppose -2*t + 5 - 15 = 0. Let x(d) = -3*d. Calculate t*f(s) + 2*x(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*c + 14*c**2 - 14*c**2 + 2*c**3 to t*c + y + s*c**2 + u*c**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - o + 16. Let h = 2007 - 2007. Calculate r(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1245 - -1244.9341. What is g rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**3 - r**3 + 0*r**3 + 11*r**2.\nAnswer: 5*r**3 + 11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**3 + 2*j**2 + 2*j + 7. Suppose 3*z - 5206 + 5212 = 0. Give o(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/10*-17*23\/2346.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -7, -20, -37, -58, -83, -112?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l. Let v = -11 + 13. Let z(g) = -3*g**v - g**2 + 6*g**2. Calculate b(z(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83219 is divided by 41476.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 663 + -598. Calculate the remainder when 193 is divided by y.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*y - 32, 5*y = 4*f + 34 + 1. Suppose 36*v = 3274 + 3206. Suppose 2*m + 4*n - v = 0, y*m = 5*m + 2*n - 180. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1355430?\nAnswer: 2, 3, 5, 45181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(-4)\/(-66) - (-1956544)\/(-213180) - -9. Which is greater: l or 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6754*c. Let v(l) = -7*l. Give v(d(j)).\nAnswer: 47278*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -32.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -20 (b) -123\/5 (c) 4\/5 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1048570\/345*(-6)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -241.4, 2\/11, 1\/15 in ascending order.\nAnswer: -241.4, 1\/15, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(315)\/sqrt(5))\/((sqrt(90) + 1*sqrt(90))\/sqrt(10)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vuuuhhhhvhhvhvupuh. What is prob of sequence vhuv?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o. Let d be n(-3). Let j be (-4)\/((-12)\/15) + -1 - -9. Let m(z) = 13 + z**2 + z - j*z + 2*z - 4. Give m(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-927)\/824)\/(48\/320).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3655, -3661, -3671, -3685, -3703, -3725?\n\"Answer: -2*u**2 - 3653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -92\/311, -241?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 23.91. Which is smaller: d or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 10*l. Let a(p) = -83902*p + 2. Give a(t(w)).\nAnswer: -839020*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*u**2*x**2 - 594*u**2 + 76*u*x**4 + x**2 wrt x.\nAnswer: -4*u**2*x + 304*u*x**3 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 23096*x - 44444393. Let t(g) = 18*g**2 - 369537*g - 711110283. Let b(u) = 33*l(u) - 2*t(u). Factor b(m).\nAnswer: -3*(m + 3849)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 840 and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 42\/17 in 2\/7, -67, -1\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 0)*4\/(-3). Let u = x - 0. Suppose -4*y = -4*l, 12 - u = y + l. Calculate the remainder when 10 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.118 less than -1122654?\nAnswer: -1122653.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -583*m - 4660 + 2316 = 6802 + 2514 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -3) + (13 - 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 4*h = 3*g - 14, 3*g = h + 10. Suppose -5*r - 2*d = -2915, 3*r - 3*d = 8*r - 2915. Does 4 divide r\/22 + h\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1353*r = -1362*r + 9. What is the smallest value in 142\/11, r, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122613 and 6315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 311031, 307294, 303559, 299826, 296095?\nAnswer: 292366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7203\/8 - 79257\/88. Is -615 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238.105008 milliseconds in days?\nAnswer: 0.000002755845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = n + n. Let a(q) be the first derivative of n*q + q**2 + 1\/3*q**3 + 3. Find z such that a(z) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by -9?\nAnswer: -37\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + 85*y**4 + y**3 - 87*y**4 + 0*y**3 to g*y**4 + l + v*y**2 + s*y**3 + u*y and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -3) + (3 - (2 + -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*m = -2*m - 15, -5*m = 15. Let u = k + 4. Let i be (-1)\/(-2) - 9\/(-6). Solve -10 = -i*x - u*g, -1 = x - g + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 68 = -12. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f + 1. Let a be r(3). Suppose a*c + 9 + 3 = 0. Let p(k) = k - 3*k**2 + 2 + 2*k**2 + 0. Calculate p(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332.4575 meters to kilometers.\nAnswer: 0.3324575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 244\/6 + 14\/(-21). Suppose -29*p + 33*p = t. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 + 2*l - 1. Let m(j) = 9*j**2 - 4*j - 1. Let r(t) = -13*t**2 + 6*t + 1. Let n(c) = 3*m(c) + 2*r(c). Let o = -3 + 2. Give o*k(x) - n(x).\nAnswer: x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 89450597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 51355, -5, 2.\nAnswer: -10, -5, 2, 51355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.8834kg to grams.\nAnswer: 64883.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 12*u**3 + 46*u**2 + 24*u + 6. Let x(o) = -4*o**3 - 15*o**2 - 8*o - 2. Let b(n) = 5*q(n) + 16*x(n). Factor b(c).\nAnswer: -2*(c + 1)**2*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4822776 and 6552?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4710452 divided by 1\nAnswer: 4710452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 35 - 813*o**3 - 2003*o**3 + 2*o + 20 in the form q*o + j*o**3 + l*o**2 + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6682, -10408, -14136, -17866, -21598?\n\"Answer: -j**2 - 3723*j - 2958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 157664?\nAnswer: 472992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 - 4 + 1 + 1 - g + 1. Let d be f(2). Suppose 0*s = -5*a - 5*s + 60, d*a - s = 30. Solve -3*t + 2*q + a = 0, 4 = -q + 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 14) in base 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(47\/(611\/(-39)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.44 - -2.04. Let v = -11 - 2. Which is the third biggest value? (a) q (b) v (c) -1\/3 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*i + 3*i - 12, 3*n - 2*n - i = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/19, 142, 14, 0.7, 0?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(144)*-2 - sqrt(144))\/sqrt(9) - sqrt(160)\/sqrt(90))\/(sqrt(32)\/(sqrt(20)\/(sqrt(15)\/sqrt(3)))).\nAnswer: -10*sqrt(2)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3010, 0.2, -5, 0.01, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -56 - 6?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/110 and -33\/25?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-599)\/47920*(-6 - 2\/((-2)\/2)).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16366?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -597\/190 - -54\/19. Let d be 602\/(-90) + (-2)\/(-9). Let t = -26\/5 + d. Calculate the common denominator of g and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b**2 - 3*b**2 - b**2. Let y(s) = -8*s**2. Determine q(y(d)).\nAnswer: 64*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l**3 + 18*l**3 + 15*l**3.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-246)\/287)\/(16\/72)?\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 16\/(-44))*274\/(-548)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a = -56*a + 378 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197, -486, -775?\nAnswer: -1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2 - 2*i**2 - 4034*i**4 + 4032*i**4 + 4*i**2 + 3*i**3 to the form y + a*i**3 + m*i + g*i**2 + u*i**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 8 = -10*x. What is the hundreds digit of (112 + x)*(13 - 12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nine tenths of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1200.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (82 - 6)*1*15\/2. What is the highest common factor of o and 228?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1339 divided by 5658\nAnswer: -1339\/5658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/(-336))\/((-120)\/(-576))*-7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 94 + 491. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/14*20\/(-3). Let r = 3 + p. Let o = 12 + r. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2685 and 39584060.\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8070, 28646, 84514, 193320, 372710, 640330, 1013826, 1510844?\nAnswer: 2149030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2*u + 2*u - 14, 5*k = 3*u + 15. Let l(w) = 0 + 28*w**2 + 6*w - 1 + w**3 - 35*w**2. Let t be l(k). What is t rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - -2)\/(96\/72). Solve -d*g = -9*g + 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 832 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*r = 238 - 232, 2*c - 3*r = 13. Solve 13 = -5*d + c*j, 5 = -2*d - 2*j - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4608 - 0.1163539?\nAnswer: -4608.1163539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 93 = 27. Suppose 11*r - 240 = 7*r. Let l = r - x. Sort l, -4, -2, -1.\nAnswer: -4, -2, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*d = -12 - 11, -4*d - 4 = 4*n. Solve -5*a + 3*z = 25, -a + 2*z + 3 = n*z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -5.2, 52, -6\/335?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**3 + 2*c**2 - 24*c - 8. Determine k(-5).\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(-8) + (-3)\/6. Let k be 30\/12 - (-2)\/(-4). Let x be ((-11)\/k - -4)*(-2)\/(-3). Is x not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 290*z**2 - 163*z**2 + 310*z**2 + 2*z + 144*z**2. Is w(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 2*a - 1. Let y be l(3). Suppose 3*w - 4*g + 43 = 0, 0*w - 2*w - 5*g - 67 = 0. Let h = y - w. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g - 23*g = 0. Suppose g = u - 2*u + 39. Let f be (-2)\/3 + (-1309)\/(-33). Calculate the greatest common factor of f and u.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7570878*b**3*q**2*x**2 - 151*b**2*q**2*x + b**2*q**2 - 30*b*q**2*x - b*q - 2*q**2*x**2 wrt b?\nAnswer: -45425268*q**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18758, -37841, -57234, -76931, -96926, -117213?\nAnswer: -137786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 58. Let x be z(0). Let r = x + -55. Suppose -287 = -r*p - 4*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -145.82 - -145.82. Put -668, -5, t, 4, 1\/2 in decreasing order.\nAnswer: 4, 1\/2, t, -5, -668","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 20 = -k, 6 = i + 3*k + 1. Differentiate -7 - i + 4*d**2 - 4*d**2 - 6*d**3 with respect to d.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09*-1190.\nAnswer: -107.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 0.03 (c) 12 (d) 3\/5 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(325)*-4*-6*-3 - (-2 + (sqrt(325) + 1 + sqrt(325) + -4)*6))**2.\nAnswer: -16800*sqrt(13) + 2293600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 274 + -132. Let j = f - 143. Is j at most -1\/99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 63, 54137, 21 in ascending order.\nAnswer: 21, 63, 54137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.5, -7\/13, -0.3, -2\/9, 3?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 8 - (70 + -69 - (-3 - 1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 223104*m*n**2 - 5*m - n**2 - 1412385*n wrt m?\nAnswer: 223104*n**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 983244 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5*s - 2. Let z(c) = -c - 38. Let f be z(0). Let p = -36 - f. Let h(w) = -p*w - 7*w - 3 + 2*w + w. Calculate -4*h(o) + 5*y(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide ((10 - 11) + 4\/(-3))*-16434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 14 = -5*i, 2*f - 10 = 3*i + 4*f. Let t = i - -9. Suppose 0 = -2*o + y, -4*o + y + 8 = t*y. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9425?\nAnswer: 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**3 + 2*u**2 - 3. Let s(v) = 4*v**3 - 2*v**2 + 2. Suppose 2*y = -2156 + 2150. Give y*s(f) - 2*k(f).\nAnswer: -6*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eddliiw. What is prob of sequence ed?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -128.454023 rounded to 2 decimal places?\nAnswer: -128.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17.5 + 17.4. What is the closest to p in 7, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-65)\/(-20) - 1\/4. Determine x so that 4*x**4 - 8*x + 2 - 12*x**2 - n + 1 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*i**3*w**3 + 958*i**3*w + 5*i**3 + 2*i**2*w**3 - 4750*i**2 + 343 wrt i.\nAnswer: -174*w**3 + 5748*w + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/19 or 0.1?\nAnswer: -20\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 - 13. What is the remainder when v is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -2*i - 60. Find the second derivative of -2*c - i*c**3 + 4*c - 9*c - c**3 wrt c.\nAnswer: -66*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(248\/(-8370)) + (-400)\/(-25)\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12619?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -26 - -14 - (-1 - 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -373500062 or -373500063?\nAnswer: -373500063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 2*g - 9*g)*(157 + 213 + 299).\nAnswer: -6690*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31684117, -31684114, -31684111, -31684108?\nAnswer: -31684105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/5604764 and -137\/77724.\nAnswer: 50442876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u = 101. Let f be (((-28)\/(-8))\/(-7))\/((-10)\/(-8860)). Let j = f - -478. What is the remainder when u is divided by j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -5 (b) -2\/9 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 227 = -207. Let r(j) = -2*j - 2. Let m be r(-3). Solve k*h - m*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 - 35. Solve -40*a + p = 228 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2*-1*(-169)\/26 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 463*s + 464. Give x(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -684805*t**3 - 3*t + 112928?\nAnswer: -4108830*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -70, -121, -172, -223, -274, -325?\n\"Answer: -51*o - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1129, 3611, 8027, 14605, 23573, 35159, 49591, 67097?\n\"Answer: 38*f**3 + 739*f**2 - f + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -238*z**2 - 17*z - 12. Give g(-1).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 190132?\nAnswer: -3\/95066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2 = -2*b, -5*k + 4 = -3*b + 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 3*d = 11*y - 102, 4*y - 438 = 3*d. Let f = 120 - y. What are the prime factors of (-2)\/(f\/(-78))*18?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfztt. What is prob of picking 1 f and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 313.7 - -33.5. Let y = 350 - u. Round y to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) - 5*sqrt(196))\/(sqrt(24)\/(sqrt(108) - sqrt(12))).\nAnswer: -68*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -8*w**2 - 15*w**2 + 6*w**2 - 8*w**2 + 10 - 24*w - w**3. Calculate the remainder when 25 is divided by i(-24).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39512 - -1580373\/40. What is the common denominator of (156\/32)\/(-3)*2 and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 40. Let t(f) = 4*f**2 + f - 2. Let s be t(p). Let l be 3 - (1 - -4 - s). Which is the second smallest value? (a) 2\/5 (b) l (c) 6\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236316834?\nAnswer: 2, 3, 13, 1009901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-1 + 0)*2*960\/640. Put l, -2, 74, 0 in decreasing order.\nAnswer: 74, 0, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/2 - (-75)\/650*13\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -42\/41 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110449, -220894, -331339, -441784, -552229, -662674?\nAnswer: -773119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - c + 6445 = 1277, 4*c = 4*m - 6864. Suppose 47*r - m = 1663. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**3 - 64*q**2 + 522*q + 20333. What is l(-29)?\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (2\/4)\/((-100)\/(-2200))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/7 and 50\/13.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 48957056429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 145 = -34*b. Put -4, -15, -3, b in increasing order.\nAnswer: -15, b, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from {c: 1, k: 1, h: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17433c (base 13) to base 6.\nAnswer: 20235450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75*u**4 + 1812*u**3 + 14688*u**2 + 40704*u + 6144.\nAnswer: 3*(u + 8)**3*(25*u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 11. Let d = 44 - y. Calculate the remainder when d is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 263105 and 121705.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (9 - 4) + -4 - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 16 + 47. Let t = h + -10. Solve 4*n = -a - t, a - 3 = 2*n - 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6c - -75d1?\nAnswer: 765d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 60965373 to the power of 1\/2, to the nearest integer?\nAnswer: 7808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 4*a - 4. Let u = -1425 + 1426. Let g(c) = c - 1. Let h = -6 - -2. Calculate h*g(t) + u*w(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*d - 1830 = 137*d. Solve 113*t - 128*t - d = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3444214 - -102?\nAnswer: -3444112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.922 + -3.922. What is the biggest value in w, -5, -0.2, 0.5, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9818 - 43*z - 2*z**2 - 5*z**3 + 9818)*(12*z - 15*z - 9*z) to x*z + c + k*z**3 + s*z**2 + a*z**4 and give s.\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414716 is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 4*w**2 - 2*w - 4. Calculate l(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/sqrt(3)*5 + sqrt(34) - (sqrt(2176)*1 + sqrt(2176)))\/(sqrt(4)\/(-2*-3*sqrt(2) - sqrt(2))*3).\nAnswer: -50*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9187.941ug to grams.\nAnswer: 0.009187941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1) + (8 + -4 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -37*x**4\/3 + 267*x**2\/2 + 20*x + 4. What is the derivative of o(h) wrt h?\nAnswer: -296*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16838, 33697, 50566, 67451, 84358?\nAnswer: 101293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24048 = -304*c - 30*c. What is the remainder when 499 is divided by c?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 7*m = -9. What is the highest common factor of 12 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6216 is divided by 41?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -81*i. Let f(l) = -36935*l. Let j(m) = 913*a(m) - 2*f(m). Let v(q) = 2*q. What is v(j(t))?\nAnswer: -166*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c**3 + 0*c**3 + 3*c**3)*(5692 - 2262 + 3*c - 2500).\nAnswer: -9*c**4 - 2790*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - n - 2. Let a be i(2). Suppose b - 3*b + 22 = 0. What is the remainder when 2 + 38\/a*2 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/1045170 and 29\/77.\nAnswer: 11496870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.07, -3, 1\/3, -2754?\nAnswer: -2754","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2*(18 + 1408\/(-77))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*r + 250 = -34*r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.07925 kilograms in tonnes?\nAnswer: 0.05007925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1176)\/(-43365)*((-8)\/(-36)*-3)\/(4\/15)\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37887)\/126290 - 346\/(-220)?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -4) + 0 + -2 - 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010111 + 110111101?\nAnswer: 1000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1870, 1874, 1880, 1888, 1898?\n\"Answer: i**2 + i + 1868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 40*h + 5. What is the lowest common multiple of 25 and m(1)?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43879, -87855, -131837, -175825, -219819, -263819, -307825?\nAnswer: -351837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2165 is divided by 217?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 33*d**2 + 40*d - 19*d - 22*d to y + s*d + b*d**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5407919 is divided by 96.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**14\/h)\/h)\/(((h*h\/((h\/((h**0\/h)\/h)*h)\/h)*h*h)\/h)\/h*h)*(h*h**3*h)\/(h\/((h\/(h*h\/(h*h*h**(2\/33))))\/h)) assuming h is positive.\nAnswer: h**(530\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*282\/47.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -77450, -77448, -77446?\n\"Answer: 2*j - 77452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4166 - -0.3266. Which is the third smallest value? (a) -1\/3 (b) -0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l*y**4 - 8*l*y**3 + 16*l*y**2 - l*y + l + 29*y**4 - 16*y**3 + 312125*y**2 + 1 wrt y?\nAnswer: 48*l*y - 48*l + 696*y - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14224*z**4 + 4124*z.\nAnswer: 170688*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 1 = -5*z + 6*z, 6589*z - 22 = 6575*z - 2*f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 154 and 20704222.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*j = 626, 3*j + 289 = 2*t - 337. Calculate the remainder when t is divided by 53.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = 12 - 39. Solve -d - 14 + t = 5*r, -d + 9 = -5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a + 18. Let c be f(-9). Solve c*j - 2*j + 20 = 3*w, 12 = -j + 4*w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242*l**2\/7 + 486*l\/7 - 4\/7 = 0. Calculate l.\nAnswer: 1\/121, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + 43. Suppose 3*q = -9, z - q + 37 = a*z. Suppose -3*w = -z - 29. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (37 + 62 + 46)*(24*i + 418 - 418) as o + x*i and give x.\nAnswer: 3480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/231 and 13\/21501354?\nAnswer: 236514894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 535 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10965 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 190260 (base 10) to base 11\nAnswer: 11aa44","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/4)\/((-2)\/(-4)). Suppose -4*p - j*g = -3313586 + 273611, g = -4*p + 3039995. What is p rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18589, 18588, 18587, 18586, 18585, 18584?\nAnswer: 18583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 150*p - 1649. Give n(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/8118 and -59\/820638.\nAnswer: 370107738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 62*b*s*x**2 - 4*b*s*x + 2*b - 38*x**2 wrt s.\nAnswer: 62*b*x**2 - 4*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4645 - -106833\/23. Let v = -1 - -0.5. Put b, -0.8, 0, v in decreasing order.\nAnswer: 0, b, v, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193 + 198 = 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 106 = h - 5*h, 104 = 3*c + 5*h. Let i be (-92)\/(-5) - (-6)\/10. Calculate the greatest common divisor of i and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 minus 1496?\nAnswer: -1495.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/17 (b) -84 (c) 4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8882, 17755, 26626, 35495, 44362, 53227?\nAnswer: 62090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 47 = -27 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 1083.2?\nAnswer: 433.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1113, 1103, 1087, 1065, 1037, 1003?\nAnswer: 963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 - p**2 + 4*p**2 - p**2 - 6*p**2 + 6*p**2 + (-1 + 1 + p)*(-2*p + 3 - 3) in the form n + b*p**2 + w*p and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*q - 10 = -58*q - 2*g, 3*q - 2 = -2*g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*o**3 + 133*o**2 - 133*o**2 - o**5 + (2*o**5 + o**5 - 6*o**5)*(2 + 1 - 4).\nAnswer: 2*o**5 + 2*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102 and 238?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 357293.1ug to grams.\nAnswer: 0.3572931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*q + 5*q + 0*q)*(2*q - 2*q - q) + 6 - 6 - 3*q**2 + q**2 - 6*q**2 + 18*q**2 + 3*q)*(q - 2 - q + 11*q).\nAnswer: 88*q**3 + 17*q**2 - 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86 - -141. What are the prime factors of p?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = 2*z. Suppose -5 = 2*f + z. Let u = -1 - f. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a millennium in years?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (152*q + 69*q + 306*q)*(-6*q**2 + 2*q + 4 + 9*q**2 - 6).\nAnswer: 1581*q**3 + 1054*q**2 - 1054*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, 80, -1, 3, -129 in increasing order.\nAnswer: -129, -1, 3, 77, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (5\/50*-5)\/(4\/(-6))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17 + 13)\/((-2)\/(-6)). Let x be 8\/w*-3 + 2. Suppose 7*o = x*o + u + 193, 4*u = -3*o + 203. Calculate the greatest common divisor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/2 (b) -0.1444 (c) -2 (d) 5 (e) -3 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9970319*r - 4985165*r - 4985163*r.\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times -17557\nAnswer: 1580.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/3 + 170*o**2\/3 - 76*o - 251256.\nAnswer: (o - 58)*(o + 114)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 95, 3, -7, 2\/3, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -20. Let y = -35681 + 35671. Which is the third biggest value? (a) -2 (b) j (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 18, 13.\nAnswer: 3, 13, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 74, 141, 212, 287?\n\"Answer: 2*j**2 + 61*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -976*q - 3305*q**2 + 1653*q**2 + 1653*q**2 - 366*q**3 - 961*q**3 wrt q?\nAnswer: -7962*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 + 9*d - 3. Let t be ((-304)\/40 - -6)\/((-2)\/5). Let h(p) = p**2 + 4*p - 1. Calculate t*v(y) - 9*h(y).\nAnswer: -y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*x - 110 = 70*x. What is the lowest common multiple of x and 36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/12 and -5\/288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 0*w**3 + 5*w - 4 - 5*w**2 + 5*w**3 + w**3. Let b(t) = -5*t**3 + 4*t**2 - 4*t + 4. Let d(u) = 5*b(u) + 4*i(u). Differentiate d(r) wrt r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 0.1, 0.2921?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -2*z - 15. Let y be (-93)\/(-33) + 2\/z. Find the third derivative of -j**2 + y*j**2 - 2*j**5 + 0*j**5 wrt j.\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**3 + 108520*k**2 - 732551972*k - 47328872704 = 0.\nAnswer: -64, 13597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c**3 - 3*c**2 + 6*c + 10. Let n be m(-5). Suppose 6*r = 9*r - n. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 6 + 10. Let z(n) = 2*n**2 - 4*n + 1. Is z(o) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + -3 + (7 - 5). Suppose 0 = -4*f + 2*v + 484, -10*v - 480 = -r*f - 6*v. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13558*l**2\/9 - 8609332*l\/9 - 1270\/9 = 0. What is l?\nAnswer: -635, -1\/6779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)\/(t**(1\/4)\/t))\/(t\/(t*t\/t**(-1\/2))*t*t\/(t**3*t)*t) assuming t is positive.\nAnswer: t**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w - 9. Let n(q) = -4*q + 4. Calculate -11*n(m) - 6*z(m).\nAnswer: 2*m + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17723065 and 2690.\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 3*h**2\/2 + 6*h - 28. Give x(-9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - p + 470, -4*p + 893 = 3*l - 512. Calculate the greatest common factor of l and 380.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 6\/7 (c) -1.4 (d) -2665 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/14708 at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - m + m)*(-3*m**2 + 5*m**2 - m**2) + 4*m**3 + 3*m**2 - 3*m**2 + 31 - 10*m**3 - 31.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.234047 decades?\nAnswer: 12.34047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**4*a\/(a**(-1\/3)\/a))**41\/((a**(-5)*a*a\/(a*a**7))\/(a**(-3)*a**(1\/5))) assuming a is positive.\nAnswer: a**(-287\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-99)\/(-660) - (-41)\/27\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3007.\nAnswer: 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*((-190)\/425)\/19)\/(1*-1)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*s**5 - 93*s**4 - 5967*s**3 + 9*s**2 - 13119*s + 8 wrt s?\nAnswer: 480*s**2 - 2232*s - 35802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*l**2*p**2*u**3 + l**2*p**2*u + 2*l**2*p + 20*l*p**2*u**3 - 4*l*p*u**2 - 17*u**2 wrt u.\nAnswer: 36*l**2*p**2 + 120*l*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1295\/9 - -2503\/90. Let w = 170 - x. Find the common denominator of w and (1\/(-8))\/(35\/1876).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140.73878 rounded to one dp?\nAnswer: 140.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 - 1)*(-3 + 1 + 0) - 2 + 3 + 1 + 0 - 1 - 1 + 6 - 13 + 4)*(-1290*l - 859*l - 2 + 2776*l - 1284*l).\nAnswer: 3285*l + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/102073 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*x**2 - 83*x**2 + 80*x**2.\nAnswer: -35*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**4 + 19*m**3 - 4*m**2. Let x(c) = c**4 + 6*c**3 - c**2. Suppose 1273 - 1238 = 5*u. Let h(t) = u*x(t) - 2*a(t). What is p in h(p) = 0?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*2\/15)\/(-6)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -14. Let i = -4 + s. What is the closest to 0.1 in -0.3, -4, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 0.116?\nAnswer: 0.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/3, 8, 0.1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 4*y + 6. Let o be (1 + -2)\/(1\/(-8)). Suppose 4*x + 30 = 2*j, -o = 3*j - 23. Calculate the least common multiple of k(x) and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98165635.\nAnswer: 5, 19633127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 203567920 to the nearest 100000.\nAnswer: 203600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 9072781.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -n - 138 + 13, 4*n + 73 = g. Find the third derivative of -g*c - 91*c**4 - 1 - 55*c + 6*c**2 + 116*c wrt c.\nAnswer: -2184*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24946866.\nAnswer: 2, 3, 7, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -47*t**2 + 9*t + 4. Let u(w) = -46*w**2 + 7*w + 6. What is -5*u(x) + 4*v(x)?\nAnswer: 42*x**2 + x - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**16*c)*c)\/c**(-3))\/(c**(-7)\/c**3))**42 assuming c is positive.\nAnswer: c**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/23, 1, 5\/3, -2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 60895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*f**2 - 2*f + 38*f**2 - 14*f**2 - 11*f**2 as x*f + r + o*f**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 932 is divided by 155.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -15. Sort g, -4, 1 in descending order.\nAnswer: g, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 58*w**2 - 6547*w + 26175. Calculate l(4).\nAnswer: 915","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2021042 + -1?\nAnswer: -2021043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - (-12 + 0 - 3). Let a = -8 + s. Suppose p + a*i - 205 + 36 = 0, 865 = 5*p + 5*i. Calculate the greatest common divisor of p and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 10:40 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*u + 116*u = 276 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 85538 divided by -57?\nAnswer: -4502\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - m**2 - 4)*(-3*m - 4*m - 6*m) + 5*m**3 - 4*m**2 + 4*m**2.\nAnswer: 18*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -409075 and -409075 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*3 - (-9 - -7). Suppose 803 + 852 = a*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 6092?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, n: 6, w: 7}. Give prob of picking 2 m.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 9*h**3 + 49*h**2 - 59*h + 8. Suppose -a + 1 + 3 = 0. Let u = a + -1. What is the smallest common multiple of u and p(1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -79*a**3 + 33690*a**2 + 7068797 wrt a.\nAnswer: -237*a**2 + 67380*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 - 3 - 2*r**3 + 3 to the form b*r**2 + m*r + j + q*r**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1815875137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 - n - 2. Let v(m) be the third derivative of -m**5\/60 - 5*m**4\/24 + m**3\/6 + 15*m**2. Let w be v(-6). What are the prime factors of f(w)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1528 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.09, 0.13, -1\/5, -0.4322 in decreasing order.\nAnswer: 1, 0.13, 0.09, -1\/5, -0.4322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1641)\/(-15) - 2\/5. Suppose 5*x = v + 46. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13360 and 36740?\nAnswer: 146960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/1720 and -107\/2580?\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2. Suppose -6 + z = -3*x. Let g(d) = d**2 - 2*d. Let u(m) = 2*m. Let y(r) = -3*g(r) - 2*u(r). Calculate y(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4868681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3557739267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 291, 2693, 5095, 7497, 9899, 12301?\nAnswer: 14703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (212*g**2 - 151*g**2 - 455*g**2)*(5*g + 3*g + g)*(3*g**2 - 2*g**2 - 2*g**2).\nAnswer: 3546*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -7*v**3 - v**2 + 3*v + 1. Suppose z - j = -4, 0*j - 2*j + 4 = 0. Is i(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 4629126.\nAnswer: -462912.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 7 + -11 - 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1296, 2581, 3870, 5163?\nAnswer: 6460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4689\/4 + -1186. Calculate the common denominator of j and 93\/424.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 times 0.2\nAnswer: -20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 9*j**2 + 12*j - 3. Let p be n(10). Suppose -2*y = -2*i + 48, y - 23 = -2*i - 2*y. Which is greater: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 13. Suppose -5*t = w - 12, -19 = w - t - 7. Let m = w + v. Sort -3, -2, m.\nAnswer: -3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 2308044?\nAnswer: 23080440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 3, r: 5, j: 3, z: 1}. What is prob of picking 1 r and 1 g?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/29 (b) -1 (c) -2\/5 (d) 354\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15394 - 15966. Sort 2\/15, 0, b in increasing order.\nAnswer: b, 0, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 31 + 17. Suppose 3*f = -4*z + 42, 3*z - 15 = -2*f + d. What is the least common multiple of f and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 2*r - 2*o + 20, 0 = 5*r - 2*o - 7. Solve r*k + c = -14, -c + 0*c - 10 = 2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12588450 divided by -175?\nAnswer: 71934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43.013 + -43. Round c to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 1\/2*t**2 - 1\/3*t**3 + 0 - 9*t. Let f(g) = g**2. Give f(w(b)).\nAnswer: 4*b**2 - 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5 + 1 = 0. Let l be (127\/(-1))\/(-1) - p. Suppose -2*j + l = 3*j - 5*o, -j + 3*o = -19. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29 + 145*y**2 + y**4 - 36*y**2 - 2*y**3 - 129 + 5*y wrt y.\nAnswer: 12*y**2 - 12*y + 218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11575 or 104174\/9?\nAnswer: 104174\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/11 - (18 - -1 - 17).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 6*r + 4 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 4449657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 200 (base 5) to base 7\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7244 - -7249. What is the closest to 1\/27 in 0.4, t, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-37)*i*i*i**3*i*i**5)\/(i**(7\/6)\/((i*i**5*i*i)\/i**(-3))) assuming i is positive.\nAnswer: i**(-97\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 209 + -7d3de?\nAnswer: -7d1d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 12767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96 + -10. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.88097 millennia in decades?\nAnswer: 7788.097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*v**3 + (0 + 0 - 3*v)*(-4*v**2 + 3*v**2 - v**2) + 3*v**3 + 0*v**3 - 4*v**3 + (-6*v**3 + 0*v**3 + 7*v**3)*(4 - 2 + 0).\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1383198?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*g. Let v be (g - -3) + 1\/1. Suppose 0 = 2*m + 2*h - 10, m + 3*h = v - 1. Let c(y) = y**3 - 7*y**2 + 5*y + 3. Calculate c(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 + -60. Let p be (-6)\/4*(-4 + 2). Is p - (x*3 - 2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -184.406 - -0.406. Let b = 71 + l. Let a = b + 112.99862. What is a rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 520 and 2680.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2357 (b) 31.1 (c) 19 (d) 0 (e) -1\/3 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117460 by -20.\nAnswer: 5873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/((-2)\/3 + (-8700)\/612 + 15). Solve -3*p + 5 = -2*v, -z*v + 22*v = -4*p - 24 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -4, 12, 0.01, -422 in ascending order.\nAnswer: -422, -4, -3\/7, 0.01, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 divided by -51.\nAnswer: -41\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13 + 330\/(-36) + (-5)\/(-30). Which is the third biggest value? (a) -4 (b) -0.5 (c) -2068 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h. Let w(n) = -194648*n**2. Give w(x(b)).\nAnswer: -3114368*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 2*r + 8. Calculate b(-7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkav when four letters picked without replacement from aaakvpgpayvg?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5122 and 3152?\nAnswer: 40976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.35 + 0.05. Let s = -3259 + 13031\/4. Which is the nearest to 2\/5? (a) i (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 + 1 + -2 + 0. Let p be (14 + -13)\/(1\/4). Suppose k = -2*k + p*f - x, -k = -f + 2. Solve k = 5*i - 10 - 10, -5*v - 8 = -2*i for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 2*b**2 + 4*b - 3. Let r be w(3). What is the closest to r in -2\/11, -5\/4, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/(sqrt(16)\/sqrt(4))*-4*-4)\/((1*sqrt(432))\/sqrt(12)*-1).\nAnswer: -16*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1)\/((-3)\/(-90)*-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*i + 35*i + 1456. Let t = -3272\/9 - i. Which is the closest to 0.1? (a) -0.2 (b) t (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**2 - 18732*y - 4527423 = 0. Calculate y.\nAnswer: -233, 6477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 22654 (b) 7 (c) -18 (d) -2\/11 (e) -0.2 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**3 - 5441*g**2 - 7403840*g - 7398400 = 0?\nAnswer: -2720, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3128?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.14 - 0.3. Let x = 0.264 + 0.096. Let p = x + w. What is the closest to -1 in -5, 0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18246 = -4*x + 122. Suppose 4*j - y - 471 = -x, 5150 = -5*j + y. Find the common denominator of j\/270 + (-4)\/5 and -5\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25.94338l?\nAnswer: 25943.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -109828*s**2 - 43*s. Let k(i) = 2*i. Give t(k(p)).\nAnswer: -439312*p**2 - 86*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 48, 19, 1.\nAnswer: 0, 1, 3, 19, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -122\/7, -3.2, -0.7418?\nAnswer: -122\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 19 + (-67 - -55)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 32380100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 933856 - -4?\nAnswer: 93385a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1451\/33970 + 3\/790. Let b = m + 29\/301. What is the closest to 0.1 in 2\/9, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) 2\/7 (c) -0.2 (d) -427.3 (e) -343 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 210617*s + 421228. Give x(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dp when two letters picked without replacement from {d: 3, p: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*d - 164 = -9*k, -4*k + 164 = -2*d. Calculate the greatest common divisor of 820 and k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j - 106 = -430 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60 - -93. Let r = 47 - 38. What is the remainder when j is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87090698.82999918 - 87090698. Let y = p - 0.83. What is y rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 499*d - 319*d - 333*d - 2448 = 0 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/18 and -29\/2392.\nAnswer: 21528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 109*t**3 + t**2 - t - 1. What is k(1)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 615191?\nAnswer: 101, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -2. Let s = 165 + -166. What is the smallest value in -3, n, s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3*x - 6*x - 68673, -2*x = 4. Let b = h - -18667. What is b rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(8\/7)\/y)**(-2\/37)*y**(-1\/7)*y*y*y*y**24 assuming y is positive.\nAnswer: y**(6954\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, z: 14}. What is prob of sequence qq?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*s + 4*s - 1 = 0, 2*y + 4*s = -16. Suppose 0 = y*f - 7*f. What is f rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416741.3 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 291061 a multiple of 702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -122.057 rounded to the nearest integer?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-3\/17)*r)\/((r**5*r)\/r*r)*r**7*r*r**(-6)\/r*r assuming r is positive.\nAnswer: r**(-37\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*h = -38470, 3*q + 10630 = 5*h + 33696. List the prime factors of q.\nAnswer: 2, 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, -12, 0.1, 2, -4, 5 in increasing order.\nAnswer: -76, -12, -4, 0.1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 6:59 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22509 and 10701?\nAnswer: 652761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-6)*138\/(-4). Let w = t + -40. What is the third derivative of 4*b**w - 15*b**6 + 10*b**6 + 9*b**6 + 10*b**2 wrt b?\nAnswer: 960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 15 = 8*m + 3*r, 5*m - 7 = r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t**2 + 12*t + 2*t**4 - 5 - 14*t**3 - 2*t**2 + 4 + 6*t**3 + 10*t**3 to the form z*t + j*t**3 + g*t**2 + u + h*t**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7853 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2734*u. Let q(c) = 1536*c**2. Determine p(q(i)).\nAnswer: -4199424*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4263 and 27579?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w - 10. Let p be g(6). Is (-4)\/((p\/58)\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13747 - -69?\nAnswer: 13805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + 7. Let j = -6 + l. Let z be ((-2)\/7)\/(j\/7). What is the biggest value in z, -3, -0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -265 + 268. Suppose -114 = -c*t + 279. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 10:31 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -117?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.99999969 - -17. What is w rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.390763 kilometers to nanometers.\nAnswer: 8390763000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 + (74 - 15) + 6 + 0 + 8 + 1.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**5 + 1690*t**4 - 347256*t**3 - 4270184*t**2 + 51681856*t - 83531904 = 0.\nAnswer: -19, 2, 6, 428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4985 take away 18.017565?\nAnswer: -5003.017565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2986207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 94437 and 134883?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2 - 4*f - 12 = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 4*m**4 + 1 - 17*m**4 - m**4 - 8*m**4 + (2*m - 2*m - m)*(-4*m**3 + 4*m**3 + 2*m**3).\nAnswer: -32*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaahahaaaaaaaha. Give prob of picking 3 h.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110 - 11011110101000?\nAnswer: -11011101111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -27. Solve 4*u + 5 = 3*x - 14, -5*x = u - f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + i + 388723 - 388752 = 0, 0 = 5*o - 2*i + 33 + 14 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -182*f + 5. Let z(l) = 381*l - 11. Let n(v) = 13*j(v) + 6*z(v). Let b(r) = 8*r. Give b(n(u)).\nAnswer: -640*u - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000292888 to seven decimal places.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -4*t + i + 53, -i = 4*t - 43. Let v = t - -19. What is the remainder when v is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shnlllnlhennlssls. Give prob of sequence ss.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -30 + 26 + (-8)\/(-2). Solve -2*x + p*h = -2*h - 16, -x + 13 = -2*h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 35039, 37647, 40253, 42857?\n\"Answer: -v**2 + 2611*v + 32429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -999*i + 997*i + 3 - 2 + 59*i**2 wrt i?\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 18*d - 1. Let y be k(-18). Which is bigger: -1.3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(130) + (sqrt(130) - (sqrt(130) - sqrt(130)*-2))))\/((sqrt(300)\/sqrt(5))\/sqrt(6))*1)**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4959 and 66?\nAnswer: 109098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1102?\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 90*y**4 - 8*y**2 - 72*y**4 - 2 + 10*y**2 + 12*y in the form n*y**2 + i*y**4 + p + g*y**3 + j*y and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2456 (base 12) in base 7?\nAnswer: 14643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/3 (b) 45.2 (c) 133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(2160))\/((sqrt(3000) - sqrt(3000)*2)\/sqrt(10)).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-16))\/((-2)\/(-24)). Suppose f + 26 = 5*d, 0 = -o*d + 4*d - 2*f + 8. Suppose -d*n - 3*s + 174 = 0, 3*n + 3*s = 4*s + 110. Does 13 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/65703 and 5\/67040952.\nAnswer: 737450472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -283473*b + 1133769. Give x(4).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16496, 32756, 49018, 65282?\n\"Answer: s**2 + 16257*s + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 66 = 3*n, -4*n - 2*x = 39 - 127. Calculate the smallest common multiple of n and 5.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = r, -2*r + 14 = -0*j + 4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -26.2.\nAnswer: -26.2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.3 (b) 3 (c) -9 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -92431685 and -9.\nAnswer: -92431694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8673731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 4 + (2 - 4). Let g(b) = u*b**2 - b - b**2 + 20 - 2*b**2. What is the tens digit of g(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1785 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(128)*1 + 4*(sqrt(128) + -1 + sqrt(128)))**2 + -2*2*(0 + sqrt(288))**2.\nAnswer: -1008*sqrt(2) + 9265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 23*i**2 - 765*i - 16694. What is l(-15)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 605887.\nAnswer: 605887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -1481028499.\nAnswer: -1481028498.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1049908 + 1821489. Suppose -l = -n - 3821581. Round n to the nearest 100000.\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -409 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 4, 0, -3 in decreasing order.\nAnswer: 4, 0, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 4, y + 2*w - 231 = 184. What is the greatest common factor of 548 and y?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 488 = 5*l, 5*l + 6 = 1. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 27\nAnswer: -10\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -15. Let m = -23\/38 - -2\/19. What is the nearest to m in 0.5, b, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59 by -4823.\nAnswer: -59\/4823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 57015 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*w - 20 = 0, s + 2*w = 3*w + 2. Suppose -4*n = n - 3*a + 5, s*a - 23 = n. Which is smaller: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -11091, 34, 0.1.\nAnswer: -11091, -1\/7, 0.1, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**3*h*k + 43*f**3*k**2 + f**3*k + f**2*k**2 - 3*f*h - 9*h*k**2 wrt f.\nAnswer: -6*h*k + 258*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 2*t + 56812. Let a = -284183\/20 - t. Let c = -23249\/260 - -1102\/13. Find the common denominator of c and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*s - 2*s = 64. Find the first derivative of -47*p**s - 95 - 22 - 8 + 13 wrt p.\nAnswer: -94*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 20*t - 21. What is g(22)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**2*k*x - 1653*g**2*k + 19*g**2*x - 84*g*k - 573*g*x - g + 2*k*x wrt g?\nAnswer: 4*k*x - 3306*k + 38*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - 181dcb6?\nAnswer: -181dcbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3300.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -4, -8\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-8) + (-585)\/(-364)*21. What is the greatest common factor of 80 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 10. Let u(p) be the first derivative of -p**4\/4 + 4*p**3\/3 - p**2 - 106. Calculate u(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21922, 77670, 170584, 300664, 467910?\nAnswer: 672322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 54 - 14. Suppose i - 8 = -3*p, -3*i - l = p - 40. Let t be 6\/33 + 42\/i. Round t to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499 - 499 + 12*v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6114299 is divided by 890?\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-17) + 4\/(2176\/72). Which is the closest to -2? (a) r (b) -2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -723, -6298, -21565, -51366, -100543, -173938, -276393?\n\"Answer: -807*q**3 - 4*q**2 + 86*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**4\/4 + 41*i**3\/3 + 121*i**2\/2 + 32*i - 1. What are the prime factors of d(-37)?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-3))\/(133\/76).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5106 = 18*s + 402. Let p = -294 - s. Let x(h) = h**2 + 20. Calculate the smallest common multiple of p and x(0).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26.8 + 14.8. What is the closest to z in -0.3, 1\/6, -4, -0.09?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 762.2107 + -762. Round m to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 974 + 248*n - 226*n - 981. Determine i(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 24\/3 + -1. Suppose -v*z + 4*z - 5*y + 19 = 0, -2*z + y - 1 = 0. Suppose -4*s = -z - 19. Calculate the remainder when s is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 - 53. Let d = -3 - -1. What is the second biggest value in 1\/2, d, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 12*u**2 + 22*u + 21. Let p be d(-10). Suppose 0 = -k - x + p, 1 = 2*k + x - 4. Which is the nearest to -0.1? (a) k (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 87*a. Let v be h(1). Let l(n) = 3*n**2 - 8*n + 26. Let c be l(6). Is c less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/10 of a week?\nAnswer: 11088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4544, 9079, 13614, 18149?\n\"Answer: 4535*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 175, 255, 335, 415?\nAnswer: 495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of 1\/10*i**6 + 0*i**2 + 0 - 20*i + 1\/84*i**7 + 1\/2*i**4 + 13\/40*i**5 + 1\/3*i**3. Factor a(r).\nAnswer: r*(r + 1)**2*(r + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 0 + 2\/3*i**3 + 5\/12*i**4 + 1\/20*i**5 + i**2 + 5*i. Calculate k(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 5. Let t be h(5). Let n = 144 - 148. What is the nearest to 1 in 0.5, t, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 - 61. Suppose 0 = r*i - 141 - 19. Is (-2)\/(i\/(-12)) + (-2002)\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*a - 3*a = 0. Let j be (-13 - a) + (6 - (-56)\/(-7)). Is (-6)\/j*-194*(-30)\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, x: 4, i: 2}. Give prob of sequence ixx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 695?\nAnswer: 4865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + (45 + -24 - -31).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 17 = -47. Let v be (-10)\/r - (-24)\/(-63). Let k = v + 31\/14. Which is the second smallest value? (a) k (b) 0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 + -13330103?\nAnswer: -13330002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 66135055 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -14*w + 36. Solve 4 = -w*n + 10*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -679292 (base 13) in base 6?\nAnswer: -124244535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 7:06 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23 and 1.43?\nAnswer: 32.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24799178 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20845 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -954*g. Let i(h) = 13455*h**2 - 22. Determine l(i(x)).\nAnswer: -12836070*x**2 + 20988","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/((-2)\/2 - -98). Let v(b) = -639 + 39*b + 1269 + 38*b**2 - 629 - b**3. Let c be v(39). Is p greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -70 + 66 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 957 + -2395. Let n = m - -4008. Suppose n = i + 667. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -8. Let i = -5.2 - -5. What is the smallest value in t, i, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(-5*sqrt(4)\/sqrt(2) + sqrt(2) - sqrt(2)).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30376667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**3 + 13*q**2 - q - 4. Let k(p) = -5*p**3 - 14*p**2 + 4. Let t(z) = 6*g(z) + 5*k(z). Calculate the remainder when 6 is divided by t(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 572.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/12, 415736, 1, 4?\nAnswer: 415736","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**11\/(a\/a**26) assuming a is positive.\nAnswer: a**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79645797 - -47245797. Round r to the nearest one million.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/9 + 1034*h**2\/9 + 22385*h\/9 + 122452\/9.\nAnswer: (h + 11)**2*(h + 1012)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + p + 4)*(-1 + 1 - 1 + (0 + 4 - 2)*(-6 + 3 + 4)) in the form d*p + q and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -124 + 267. Suppose 3*a - 184 = w. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1929 and 71\/11467905.\nAnswer: 11467905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -26*i**6\/3 + i**4\/24 + 7*i**3\/6 + 74*i**2 - 6*i. Find the second derivative of f(h) wrt h.\nAnswer: -6240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 2*m - 4*m - 14. Let q be u(-6). Let i be 1\/(((-52)\/12 - -2) + 2). Sort q, -4, i, 2 in increasing order.\nAnswer: -4, i, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-402*w - 1032*w + 22 + 805*w)*(0 + 0 + 2*w**2) as m*w**2 + y*w**3 + c*w + v and give m.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, m: 2, i: 3, z: 6, w: 6}. What is prob of picking 1 m and 1 w?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*p + 2*o + 63, -20 = 4*o. Calculate the remainder when 21 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.563896336 rounded to three decimal places?\nAnswer: 0.564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 396 or 395?\nAnswer: 396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 23*o**2 + 22*o - 25. Let k be x(22). Let b = 62 + k. What are the prime factors of b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 281539194?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + 0 - (-40 + 26 - (-10 + 9) - -13)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5557222*l*y**3 - 128231915*l + 10*y**3 with respect to y.\nAnswer: 16671666*l*y**2 + 30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352021999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*x + 5 = 0, 544*g - 2 = 548*g - 2*x. Is g smaller than -11\/92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -232 + 235. Let m = -8 + 13. Let p = 9 - m. What is the nearest to p in 1\/10, r, -2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-6))*x)\/x**(2\/5))\/(x\/x**(-1))**18 assuming x is positive.\nAnswer: x**(-147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((1 - (-12)\/(-10))*1). Solve 2*y - 12 = -0*y + 5*w, 5*y + b*w = -40 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-13) + (-2)\/2*438634\/(-17654).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -258106*q**5 + 784*q**4 + 2*q**2 - 7233*q + 466*q**4 + 258108*q**5 wrt q.\nAnswer: 40*q**3 + 15000*q**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 44979\/1218 - 2\/(-28). Sort i, -4, 1.\nAnswer: -4, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 3:19 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 2 = d. Suppose 7*m - d = 4*m + q, 5 = m - q. What is the second derivative of -35*o + m*o**4 + 37*o - 8*o**4 wrt o?\nAnswer: -72*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 + 52. Let h be ((-1)\/((-5)\/2))\/(t\/(-110)). Let j = -21 - -21.1. Which is smaller: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -116 - -108. Let x be t\/(-52) + ((-1575)\/65)\/(-5). Solve -x*l = 5, 5*l + 0 = -2*n - 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97220446 * 1\nAnswer: 97220446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 24 = -2*j, -y = 3*j + 2*y - 6. Let s be 4\/3*(-21)\/2. Let q be (8\/20)\/(s\/(-10)). Put j, -9, q in descending order.\nAnswer: q, j, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -17, 17?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7\/15 + -1\/3. Let h = 0.71 + -1.11. Which is the third biggest value? (a) h (b) t (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 10*s**2 + 3. Let d be q(10). Solve d = -5*k + 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25137 or 25135?\nAnswer: 25137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 7*v**3 - 83*v**2 - 15*v + 24. Determine s(12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 4:44 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9992312 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2131 (base 6) in base 7?\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/7 + 30833036*q\/7 - 237669027244324\/7.\nAnswer: -(q - 15416518)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 11*x + 77. Let o be p(-7). Suppose 0 = 2*l - 8 - o. Solve 2*h - 4*t + l = 6*h, -4*h + 4*t - 36 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(78))\/sqrt(6) + 0 + (2 + sqrt(13)*-2 - -2*(sqrt(78)\/sqrt(6))**2).\nAnswer: -8*sqrt(13) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4 + 20 = 0. Let b be 1*(-1)\/3 + 6472\/m. Suppose -4*k = -33 - b. What is the remainder when k is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 409*c - 415. What is g(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**3 + 41*q**2 - q - 15. Let z be a(20). Let j = z - 363. Solve n + 9 = -j*m, 2*n - 18 = 5*m - 0*m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012739877 rounded to 4 dps?\nAnswer: 0.0127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9451585 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79484, 156687, 233890, 311093, 388296?\nAnswer: 465499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6294223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 605 and 537724.\nAnswer: 2688620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 885.\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (29\/(-58))\/((2*-1)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 4353138751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (-10 - (-7 + -3) - -20)) + 2?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126937 is divided by 2264.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 4*q - 6. Let n be x(-5). Suppose 5*c = 5*v - 105, -3*v - 4*c = -c - n. List the prime factors of v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-6)\/(-6)*(-2142)\/476?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -22*x - 153. Let w be t(-7). Let o(g) = -2*g**3 - 2*g**2 - 6*g. Let y(v) = -v**2 - v. Calculate w*o(b) - 3*y(b).\nAnswer: -2*b**3 + b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -95810 divided by -19162?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -b8 (base 13) in base 6?\nAnswer: -411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 7:35 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l + 7*l + 12*l = -15*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/3 + 1479*d**2 - 1635392*d - 34560988\/3.\nAnswer: -(d - 2222)**2*(d + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27962 - -1565975\/56. Find the common denominator of a and -81\/364.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k - 5. Let h be q(2). Suppose -5*f - 170 = -2*r - 2*r, 0 = 2*r - h*f - 80. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 8*d + 3*d - 70 = 0, -2*d + 35 = y. Does 2 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.023 times 163\nAnswer: 3.749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6 - 2 + 21*i**2 - 2*i + 2*i - 5. Let d(g) = -3*g**2. Give d(a(j)).\nAnswer: -1323*j**4 + 126*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-3) - -3*3. Suppose -5*c + 2*m + 2*m = 0, 0 = 2*c + 5*m. Suppose c = 5*z - r. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-5) + 1 + 22\/(-5). What is the common denominator of j\/(-42)*14\/8 and (-2 - -1) + (-102)\/(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -36*z**2. Let h be 5*6\/180 + 11\/6. Let m(s) = -7*s**h - 20*s + 20*s. Determine m(l(o)).\nAnswer: -9072*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-3\/37)*v**(-11\/3))**(-8\/11))**25)**(-20) assuming v is positive.\nAnswer: v**(-1664000\/1221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 5*g + 15, -s - 2*g + 18 = -0*g. Solve 2*w + m = 4*w + 4, 5*m - s = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 8*l**2 + 16*l - 208. Let w be u(-9). Calculate the greatest common divisor of 74 and w.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifteen quarters of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*m**2*r**2 - 64*m**2*x - 32*m*r - 8*r**2 + x wrt m?\nAnswer: 8*r**2 - 128*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 - 348*h**2 + 15810*h - 57800.\nAnswer: 2*(h - 85)**2*(h - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + h + 1. Let m(b) be the third derivative of b**6\/120 + b**4\/8 + b**3\/6 + 22*b**2. Give -3*c(q) + m(q).\nAnswer: -2*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 82 = -86 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (713 - 585 + 395 + 989 + 731)*(-2*s**2 - 6*s**2 + 4*s**2) in the form t*s**2 + c*s + l and give t.\nAnswer: -8972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1 + 1 - 3*w + 6*w. Let c(o) = o. Give z(c(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-4)*2*(-73219)\/8614.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110101011001111111 (base 2) to base 14.\nAnswer: 154b03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -5. Let b be -2*(1 + (-14 - -12)). What is the nearest to b in -2\/11, r, 7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 91, 3.\nAnswer: -28, 3, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003286 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2176 and 306.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -818*y**4 + 813.\nAnswer: -3272*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 455312 to the nearest integer?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 38 = -5*s, -s - 4*s + 45 = 5*u. Let q be 2\/s - (-49)\/28. Suppose -i + 0 = -q. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 89867*l + 141875?\nAnswer: 89867","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j. Let q(w) be the first derivative of -w**2\/2 + 17. What is q(o(x))?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(512) + sqrt(800)))**2.\nAnswer: 23328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 + 123 + (6 - 32).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 424 (base 5) to base 12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13289)\/(-12330) + 50\/(-180). What is o in -3\/5*o**3 + 1\/5*o**5 - 2\/5*o**4 + d*o**2 + 0 + 4\/5*o = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21642?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 131*f**2 - f. Suppose 20 = 2*y + 2*y - 2*w, -15 = -3*y + 4*w. Suppose -2*q - 7 = 5*o + q, o = q + y. What are the prime factors of v(o)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4349451, 8698766, 13048081?\n\"Answer: 4349315*w + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/5064 and (-28)\/(196\/3) - 41288\/(-97482)?\nAnswer: 55704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 564.9361 centuries?\nAnswer: 5649.361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -108367.1 rounded to the nearest 100?\nAnswer: -108400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1820136675?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 108*h + 3570. Determine r(-33).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -221+-1063\nAnswer: -1284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -2613118?\nAnswer: -2613122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -5. Suppose 0 = -2*d + 3*n + n + 46, -5*d - 2*n + 79 = p. What is y in 16*y**2 + 1 - y + 1 - d*y**2 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 g when four letters picked without replacement from gzgzzggg?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 9*v + 3. Let f(y) = -26*y - 8. Let r(h) = -5*f(h) - 14*k(h). Suppose -134 = 53*u + 25 + 53. Calculate r(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2\/8 + 18983*r\/8 + 9491\/4 = 0. What is r?\nAnswer: -18982, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44\/7 - -213\/35. What is the second biggest value in 2\/3, 5, -4\/57, q?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/8)\/w*w*w**(1\/8)*(w**(1\/2))**2 assuming w is positive.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1013231 (base 5) to base 3.\nAnswer: 211220012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + d. Let s be (2\/2)\/(41\/(-2)). Let x = 47\/123 + s. Which is greater: d or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 129122, 139796, 150470?\n\"Answer: 10674*c + 118448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3820 + 2111. Suppose -10*o = -19*o + z. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*w + 2*t + 10, 3 = -t. Calculate the remainder when w\/(-14) + (-1692)\/(-42) is divided by 14\/1*3\/2.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -243478 (base 9) to base 10.\nAnswer: -146924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1123632 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(46 + -43 + (4 - 2)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1416988164 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128654 is divided by 4516.\nAnswer: 2206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 i when four letters picked without replacement from {p: 3, n: 1, f: 1, i: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 11*t**2 + 8*t - 6. Let s(o) = 12*o**2 + 5*o + 1. Let m(u) = -u**2 - 1. Let n(v) = 5*m(v) + s(v). What is 8*n(g) - 5*z(g)?\nAnswer: g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -15*g - 4. Let o be n(-3). Let i be (-3)\/6 - o\/(-2). Suppose 0 = -4*z + 4*v - 2*v - 10, 4*v = 2*z + i. Solve -2*j = k + 4 - z, -3*j - 9 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/48)\/(((-15)\/110)\/(-3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - g - 4*d + 172, -3*g - 3*d = -177. Let b = g + -44. Solve -x - b = -6*j + 2*j, 2*j - 10 = -3*x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 518 divide 455690816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, i: 1, w: 2, z: 1}. What is prob of picking 2 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104558 = 324*j - 6590254. What are the prime factors of j?\nAnswer: 20663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -3. Let y = -3 + 5. Let o = y - 1.9. Is o > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76874 - 844358\/11. Let q = l - 114. Factor q*d**3 - 4\/11*d + 0 - 2\/11*d**2.\nAnswer: 2*d*(d - 2)*(d + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014197219 rounded to 5 decimal places?\nAnswer: 0.0142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 3*s**2 - s + 11. Let u = -8 + 7. Let q(x) = -2*x - 1. Let w be q(u). What is l(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/1584 and (399\/945)\/((-384)\/(-60))?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7342766 and -7342766 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*a = -140*a - 20. Suppose 8*s - 4*s - 2*q - 742 = 0, a*q = -3*s + 562. What is the least common multiple of s and 18?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -17, 1\/44419 in descending order.\nAnswer: 13, 1\/44419, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055545841 to the power of 1\/2, to the nearest integer?\nAnswer: 32489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.49 + -0.79. Let a be (-1 - (-2)\/4)\/1. Sort a, l, -1 in ascending order.\nAnswer: -1, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120 - 837\/7. Which is the third smallest value? (a) -2 (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -13 - (97 + -100)) + -6 + 1 - 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + n + 2*n + (-55*n - 159*n + 32*n)*(2 + 0 - 4).\nAnswer: 367*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 16*o - 5. Determine i(-11).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 139*s - 75*s - 495*s**4 - 269*s**4 - 41*s - 2*s**2 - 54*s wrt s?\nAnswer: -18336*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = -3*g - 2057. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 288864 and 1076160?\nAnswer: 54884160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 132, 125, 116?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 6*p**2 - 2*p + 9. Let m be r(6). Which is the nearest to m? (a) 3 (b) -2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 5:02 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 10*m**3 + 3*m**2 + 3*m. Let r(x) = -50*x**3 - 14*x**2 - 14*x. Determine -14*p(s) - 3*r(s).\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 2. Let n = 18.3 + -0.7. Let r = n + -18. Which is the biggest value? (a) 5 (b) r (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 + 51*x + 250. What is j(28)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n. Let z(b) = 17*b. Give z(y(a)).\nAnswer: 34*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 53358495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2. Calculate the remainder when u(-5) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2104987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3164939?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35388 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1046 - -2?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**4\/15 + 23282*v**3\/15 + 22720702*v**2\/5 + 2358025838*v\/15 + 2289887012\/15 = 0?\nAnswer: -5803, -34, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1466 + 1462. Put -0.4, 0.2, b, -14\/9 in decreasing order.\nAnswer: 0.2, -0.4, -14\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x. Let n(q) = 1839*q. Determine g(n(h)).\nAnswer: -5517*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 384 and 821904?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2\/9 - 4775852*c\/9 + 9551696\/9 = 0. Calculate c.\nAnswer: 2, 2387924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u - 3. Let j be (-2 - 0 - -1)*-5. Let a be x(j). Is -2 + a - 59\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 3*j**2 - 3*j + 3. Let p be w(-2). Let u(d) = 2*d**2 + 2*d + 5. Let s(m) = 2*m**2 + 2*m + 6. Give p*s(o) - 6*u(o).\nAnswer: -2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 - 444*y**2 + 139566*y + 1143920.\nAnswer: -2*(y - 181)*(y + 8)*(y + 395)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 6*y**2 + 10*y - 5. Let d = -264 + 474. Suppose 4*p = 11*p - d. What is the remainder when p is divided by t(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38790*i**2 + 37669*i**2 - 76467*i**2.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**6*q**(-1))**6 assuming q is positive.\nAnswer: q**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 7*j + 312. What is the remainder when j is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*l + 476, 0 = -0*l + 2*l + 3*m - 311. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -2*w**5\/15 - 6*w**2. Let t(o) be the second derivative of o**3\/6 - o. Determine g(t(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/20? (a) 0.82 (b) 2 (c) 1\/2 (d) -1\/100 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10*(-2)\/4 + -1. Suppose 4*z - 22 = n, 4*z + g*n = -0*z + 32. Solve 1 = -3*c + 4*k + k, -z = -3*k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21820854*d**3*h + 3*d**3 - 62732553*h wrt d?\nAnswer: -65462562*d**2*h + 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3002665460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**2 - 716*m + 2139*m - 712*m - 711*m.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phvpcvevhpvhcppvpv. Give prob of picking 1 e and 1 p.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**5 + 15*g**4 - 170*g**3 + 260*g**2 + 120*g - 320.\nAnswer: 5*(g - 2)**3*(g + 1)*(g + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1226*a**3*h + 30*a**3 - 7*a**2 wrt h.\nAnswer: 1226*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2686*s + 6 = 2683*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 5915\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138838 greater than or equal to 1138899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/4477214 and -10\/579?\nAnswer: 13431642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**3*w + 142182467*g**2 + 836*g*w + 599*g + 85*w wrt g.\nAnswer: -6*g*w + 284364934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 + 36*h**3 + 87*h**2 + 54*h.\nAnswer: 3*h*(h + 1)*(h + 2)*(h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 470960 and 41440.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4711233 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*b + b**3 + b**3 + 203*b - 1 - 1 - 33*b**3 to the form r + j*b + v*b**2 + c*b**3 and give c.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 10:41 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8436\/36)\/19*-1*4\/((-24)\/(-18))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 143*n**2 + 28*n + 60. Is y(-2) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/11, 3, 11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 29, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1259 = -220*r + 1381 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-2))\/((-1)\/12). List the prime factors of h\/(-5)*(-265)\/(-2).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39610*f**4 - 39610*f**4 + 320*f**5 + (f**4 + 2 - 2)*(3*f + f - 6*f) + 29*f**3 - 2*f**5 - 29*f**3.\nAnswer: 316*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (33 - (2 - (0 + -3)))) + -22 + 23?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 - (10 + 1 + -13 + 11).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 321688 and 321689 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/1365 - -8464\/1365. Calculate the common denominator of q and 2\/3 - 16*116\/624.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + sqrt(275) + -2)**2 - (sqrt(66)\/(sqrt(9)\/sqrt(3)) - sqrt(22))\/((sqrt(48)\/sqrt(2))\/sqrt(12)).\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11808, -94100, -317428, -752310, -1469264, -2538808?\nAnswer: -4031460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 58069.41 millennia in decades?\nAnswer: 5806941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-20)\/v*v*v**(-20)\/v)**(-4\/7) assuming v is positive.\nAnswer: v**(164\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6.27873t?\nAnswer: 6278730000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c - 3. Let x(s) = -35*s - 14. Let d(j) = -11*w(j) + 2*x(j). What is the first derivative of d(k) wrt k?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 26 = 4*c, 0*p = 2*p - 4. Is 8 + -6 - c*30 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-9 + 14 - -17)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 1:15 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 13 + 0)*(l**3 + 0*l + 0*l) - l**3 - 9*l + 9*l.\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2) + 7 + (-19 - (51 - 67)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s*s**11*s))\/s*s*s\/(s*((s**2*s)\/s)\/s))**(-3\/4)*s**(1\/5)\/s**(-7)*(s**(-1\/3))**(1\/29) assuming s is positive.\nAnswer: s**(15389\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 6:13 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -385711.5 to the nearest 1000.\nAnswer: -386000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 15648.\nAnswer: 15648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -208 - -191.7. Let z = -53.7 + v. Let j = z - -73.3. Round j to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 m when two letters picked without replacement from rgeymyhr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12429951547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -228 + 396. Is 42 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100220 + -131023?\nAnswer: -30203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.18 - -0.22. Let g = 0.3 - m. What is the third smallest value in 0.1, 7, g?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*z + 127*z = -10, 4*t - 10426 = 2*z. Is 2610 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1791260615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*y - 5123 - 1090 = 0, x = -2*y + 2073. Let z = x - -512. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 5*x + 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*q = 104906, 4*y = -8*q + 13*q + 209812. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 6*p - 100. Suppose 0 = -2*i + p + 5. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6439 divided by -5\nAnswer: 6439\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1584) + sqrt(1584) + (sqrt(1584) - (sqrt(1584) - (sqrt(1584) - -1*sqrt(1584)))) + sqrt(1584) + -5)**2 + (4*(0 + sqrt(11) + -3))**2 + 5).\nAnswer: -1392*sqrt(11) + 79900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 281 - 276. Solve j*i + 9 + 1 = 0, 2*p = 2*i + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1209828972 times 0.5?\nAnswer: -604914486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 68 - 65 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2100*c + 972. Let m(r) = -700*r - 364. Give 3*d(u) + 8*m(u).\nAnswer: 700*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11389 is divided by 1898.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2149109 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = f - 22, -3*f + 3*y + 8 = -5*f. Let c be 2\/((-12)\/5 + f). Let a be 176\/(-10)*1*c. What is the greatest common factor of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 3*y + 0*y)*(-4 + 4 + 3*y) + y**2 + 2*y**2 - 2*y**2 + 98*y - 3*y**2 - 102*y + 136*y**2 + 0 + y**2 + 0.\nAnswer: 138*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*m = 2984, -5*m - 7 = 3. Suppose -3*h = -2*k + z, -4*k - 3*h + 2*h + 1178 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 3 - (9 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 33*w. Let r(f) = -1 - 2 + 4 + 671*f + 0 - 718*f. Determine u(r(g)).\nAnswer: -1551*g + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 12*v**3 - 17*v**2 + 17. Let n be (-20)\/(-25)*5 + -38. Let s(t) = -2*t**3 + 3*t**2 - 3. Give n*s(y) - 6*c(y).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -667 + l - 455 - 2*l - 64 + 107 in the form z*l + q and give q.\nAnswer: -1079","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -370*t + 375. What is n(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*g**4 - 2*g**4 - 107*g**4 + 11*g**4 + g**2 + 1 as l*g + q*g**3 + o*g**4 + p + k*g**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.552 + -0.542. Which is the biggest value? (a) 3 (b) 8 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - p = -295. Suppose -2*i = -15 - p. Suppose -4*k + 23 = -i. Calculate the remainder when 74 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 17*i - 14. Let c be (2\/6*6)\/(4\/30). Let d be l(c). What is the greatest common factor of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73 - 78. Which is the closest to 0.1? (a) -1 (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -3*a**3\/2 + 4*a**2 + 7*a. Is 15 a factor of l(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*l = -312*l - 7 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*i**3 + 3*c**3*i**2*w - 3*c**3*i*w - 2*c*i**3*w - 2*i**4*w - 8*i**2*w + 2*i**2 wrt i?\nAnswer: 6*c**3 - 12*c*w - 48*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 957 - 147?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(405) + sqrt(405)*3 - sqrt(405)) + -4 + (-3*(-3 + sqrt(405)) - sqrt(405)) + sqrt(405) - -3*sqrt(405)*2*2*2))**2.\nAnswer: 4320*sqrt(5) + 233380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4167.901 + 4170. Let i = 0.05 + -2.15. Let p = k + i. What is p rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6*c - 119 = 4*a, 74 = 3*c - 5*a. Suppose 3*k - 28 - c = 0. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -2. Let n = 179\/36 + -19\/4. Suppose -n*r**4 + 2\/9*r**2 + 0 + p*r + 2\/9*r**5 - 2\/9*r**3 = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a century in months?\nAnswer: 7440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*h - h + 4*h)*(125*h - 131*h - 628*h - 383*h) in the form k*h + n*h**2 + c and give n.\nAnswer: 1017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5625 = -x - 9737, -4*v + 4*x = -20464. Calculate the smallest common multiple of 423 and v.\nAnswer: 46107","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 4:40 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2) + 71\/2. Let y = -34 + w. Calculate the greatest common factor of 14 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011233 (base 5) in base 12?\nAnswer: -9623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2654843?\nAnswer: 349, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*h - 50 = -14, -2*h = r - 15. Let s(y) = y - 3. Let z be s(r). Let f = 20 - z. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 9*f**2 + 10*f + 3. Let c be k(10). Let s(z) = 2*z. Let b(w) = w. Let p(d) = c*b(d) - s(d). Give p(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5700*p*q - 6643*p - 2*q wrt q.\nAnswer: 5700*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y - 13*y - 30 = 0. Suppose -y*o - 2*o + 195 = 0. Calculate the remainder when o is divided by 44\/3 + (-4)\/6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q - 7. Let k be j(-5). Suppose 5*g = k*g + 4. What is the second derivative of r - r**2 + r**4 + r**g wrt r?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34021828 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 146? (a) 0.1 (b) 2\/43 (c) 0.5 (d) -8 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -71 + 73 - (-5 + 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.3526 - 3.3726. Suppose 3 = f + 6. Which is the nearest to 1? (a) f (b) -2\/9 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/200 and 97\/480.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -8*k. Let z(q) = 5*q - 12. Let t be z(5). Let v(x) = -t + 13 - x. Calculate v(n(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302*v**4 - 18*v**3 + 888*v**2 - 568*v = 0. Calculate v.\nAnswer: -2, 0, 142\/151, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 2 + 22. Suppose p = -4*f - 0. Which is the smallest value? (a) -4 (b) 1\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27*t**2*v**2 - 39578*t**2 - 10357463*v**2 wrt t.\nAnswer: -54*t*v**2 - 79156*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1728)*-1)\/(-2*sqrt(900) + sqrt(900)))**2 - (sqrt(432) - (sqrt(432)*1)**2 - (sqrt(75) + sqrt(75)*-3)**2).\nAnswer: -12*sqrt(3) + 18348\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -12, -2\/13, 66, 6\/5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -6*g. Let z(q) = 17*q - 2. Let w(i) = 1003*i - 119. Let o(c) = -2*w(c) + 119*z(c). What is o(m(a))?\nAnswer: -102*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 1. Let g = 0.08 + 1.92. Let w = g - 2.5. Which is the nearest to 0.1? (a) o (b) w (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5010213, 5010214, 5010215, 5010216, 5010217?\n\"Answer: d + 5010212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -4. Let s = p - -6. What is the second derivative of -3*f + 0*f**4 + s*f + f**4 wrt f?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 7 = 2*q + s, 2*s = -5*q - 22. Let u(a) = -a - 2. Let l be u(q). Suppose -k - l*k = -9. Calculate the greatest common divisor of k and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 40*h**2 + 8*h - 60. Is i(-15) a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 8*v - 7. Let t be w(-7). Suppose t*g + 33 = g. List the prime factors of g.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 13. Let m(a) = 2*a - 8*a + 3 + 0*a. Let g(k) = -7*k + 4. Give c*g(h) - 6*m(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*u + 10. Let q be (5\/(-20))\/(2\/(-112)*2). Let k(i) = 14 - 4*i - 11 - q. Let z(j) = j + 1. Calculate u*k(m) + 6*z(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1664 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10859, 48661, 111665, 199871, 313279, 451889, 615701?\n\"Answer: 12601*x**2 - x - 1741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**3 + 1480*g**2 + 995*g - 3458. Give l(494).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2645329?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11524 - -2?\nAnswer: -11522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 equal to 118549\/6217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*q**3 - 53571*q + 53571*q.\nAnswer: -26*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 7. Let q be b(3). Let j = -114 - -114. Suppose -4*o = -2*o. Solve o = -x - j + q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-5)*l*l*l\/(l*l\/(l**(2\/5)*l*l*l*l))*l*l**(1\/4)\/((l\/l**6)\/l*l) assuming l is positive.\nAnswer: l**(133\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - 1001100001110000010?\nAnswer: -1001100001110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 20*c + 18. Give m(10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 262118441 or -0.3?\nAnswer: 262118441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.354 from 0.05.\nAnswer: -1.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22 (b) 4 (c) 446 (d) 113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/(-27)*-22*(-2)\/(7\/(56\/(-16)))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 = -5*w + 168. Let g be (-1)\/(-3) - w\/3. Let u = -16 - g. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (115 + -113)\/(27\/(-29) - -1). Solve 18*n - k*n = 44 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 5*v**2 - 5*v + 7. Let r be n(-6). Let c be (-30)\/4*10\/15. Let f(o) = 3*o**2 - 4*o - 1. Let t(h) = h**2 - h. Calculate c*t(d) + r*f(d).\nAnswer: -2*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - ((-3)\/1 - 0). Let j = 29 + -27. Is k less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 2*v. Let w be z(3). Suppose -4*l + 72 = -4. Solve -4*o + 2*j + l = -3*j, -w = j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 2:28 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 3:46 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/21 + 8*z\/21.\nAnswer: -2*z*(z - 4)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1797 is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 18. Let j = 12.2 + l. Which is the fourth biggest value? (a) j (b) -5 (c) 4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44352097705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**2 - 176*g - 368 = 0.\nAnswer: -2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (146*a**3 - 756*a + 756*a)*(-8*a - 3*a + 0*a) in the form g*a**3 + h*a**2 + y*a**4 + n + k*a and give y.\nAnswer: -1606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*m = -12*m - 22*m - 1701 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 74*s - 77*s. Let y(v) = 0 + s + 0*v - 2*v + v. Determine y(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 5:35 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8625769 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 11971670 divided by -1.\nAnswer: -11971670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0672 - 82271.\nAnswer: -82271.0672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4162)\/(11 + -13) + (-1 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 23*a + 8*a**3 - 25*a.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -55. Let b = -56 - l. What is the smallest value in -5, b, -4, -1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105000524 divided by 783586?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 271*b - 20595. Determine v(76).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363 + 363 + 9*r**2.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264098 is divided by 10156?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 5*a**2 + a. Let c be p(-5). Suppose -164 = -6*l - 188. Sort l, c, 3 in decreasing order.\nAnswer: 3, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 - -38 - 8 - (6 + 5 + (-5 - 5))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*o + 2*d - 72 = 0, -4*d - 10 = -o. Calculate the remainder when 21670 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**4 + 14024*w**3 + 194028*w**2 - 5325048*w - 11314080 = 0.\nAnswer: -3492, -27, -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 > 3188.285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/7 - 86413*m**2\/7 + 1867363200*m\/7 - 24261120000\/7.\nAnswer: (m - 43200)**2*(m - 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(180)*1 - (sqrt(180) + (sqrt(180) + -5 + 1)**2).\nAnswer: -196 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119, 62, 355, 754, 1253, 1846?\nAnswer: 2527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 15*k**2 + 3*k**2 - 10 + 16.\nAnswer: -12*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1201 + -4?\nAnswer: 1153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -4\/9, -90, 4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h - 2*j = -24, -5*j = -4*h + 75. Let l be (-12)\/(-15) + (-72)\/h + 5. Solve -16 = 3*x - l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3836 < -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ag when two letters picked without replacement from ggggggggggggggggga?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/40 (b) -5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 1 - 13*y - 7 + 5*y. Let t be n(-6). Suppose t = -v + 2*v. Calculate the remainder when v is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.883597 and 116.\nAnswer: 118.883597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.26 * 2.\nAnswer: -10.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121100012 (base 4) to base 10.\nAnswer: -103430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*(-2)\/(-208) + ((-3876)\/39)\/(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 4 - (2 - 2)) + -136 + 130.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16074, 16102, 16116, 16110, 16078, 16014, 15912?\n\"Answer: -i**3 - i**2 + 38*i + 16038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 168722*k - 5399066. Calculate y(32).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 589*f - 35 = 587*f - 5*t, -3*t = -3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 10:05 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*b + 31. Let l be 1 + -2*(-6)\/4*b. Solve -4 - 16 = l*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/12)\/(793\/(-39))?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1*15\/25)\/(-3))\/1\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/5)\/(1*(-3)\/15). Let j be 2*((s - -1) + 0). Solve 2*b = 2*y, -2*b - 3 = j*y - 15 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 2*m = 20, 5*m = -108*z + 111*z + 92 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*n - 4*b + 19 = 113*n, 4*n = -5*b + 24. Let o be (-34)\/9 - (-10)\/(-45). Sort o, 8, n, -3.\nAnswer: o, -3, n, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2490, -2491, -2492?\nAnswer: -2493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*2\/(-28)*-7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13273 (base 13) in base 4?\nAnswer: -20230000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56 + 61 - (-2 - -15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 10 - 56*j - 13\/2*j**4 + 0*j**2 + 0*j**3. What is the derivative of z(s) wrt s?\nAnswer: -78*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 954921 divided by -33.\nAnswer: -28937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -1, 0.05, 1 in descending order.\nAnswer: 10, 1, 0.05, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 4) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4693*v + 5366*v + 252*v + 505440 = 2535*v for v.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1482970 to the power of 1\/2, to the nearest integer?\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 7*w**2 - 6*w + 9. Let d be (2\/7)\/(24\/504). Let i be k(d). Suppose 6*m + 972 = i*m. What is m rounded to the nearest ten?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 6\/5, -55, 0.2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*x + 271 = 4*x, -86 = -j + 4*x. Calculate the lowest common multiple of 14 and j.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 2 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10097853?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7*o**2 - 136*o - 1092. What is the remainder when 2228 is divided by b(-7)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v = 972 - 44. What is the greatest common divisor of 12238 and v?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777713.\nAnswer: 733, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*h + 6 - 67*h + 153*h + 141*h**2 as p*h**2 + x*h + s and give p.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + 0 + sqrt(180) - -1*sqrt(180)*-6)*4)**2.\nAnswer: -15360*sqrt(5) + 1152256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 3:51 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2133397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 8*a. Let u(q) = 67856*q. What is y(u(t))?\nAnswer: 542848*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 240615 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/(-4))\/(-24))\/(15\/40).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l + 4, 4*q + 5*l - 30 = 0. Let d(f) = -f**2 + 6*f - 2. Let u be d(q). Suppose -7*x + u*h + 86 = -2*x, 4*h + 40 = 2*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/20 + 2\/(-2). Let m = -11.344 - -11.244. What is the closest to 10 in m, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1244\/12440)\/((-1)\/10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1536889, -1536877, -1536865?\n\"Answer: 12*h - 1536901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -1324*n - 66. Let l be g(-34). What is l rounded to the nearest 1000?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8165, 16333, 24505, 32681, 40861, 49045?\nAnswer: 57233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 561.2? (a) 5 (b) 14 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 33795540 to the nearest 100000.\nAnswer: 33800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 3:47 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 966.161 millilitres?\nAnswer: 0.966161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 3*y + 4. Determine z(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**3 + 6*n**3 - 4*n**3 + (2*n**2 + 4*n**2 - 3*n**2)*(-1 + 1 + 2*n) as t*n**3 + x*n + u*n**2 + q and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p + 3. Let a be x(0). Let i be 2 - (2 - (-1 - -3) - a). Suppose -b = 0, y + y - 12 = i*b. Solve w - 5*n = -20, w + 3*n + 14 = y*n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*q**2 - 206*q + 397*q - 230*q in the form z + o*q + r*q**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9920, -18846, -27770, -36692, -45612, -54530?\nAnswer: -63446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 2*z = -5*m + 50, 3*m = -2*z + 30 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3784393.\nAnswer: 47, 73, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - y - 4 + 11)*(1 + 2*y - 1 + (2 - 5 + 2)*(-5 - y + 5) - 4*y + 5*y + 0*y)*(-7 - 38 - 4).\nAnswer: 196*y**2 + 2548*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -7. Let l be (-3)\/(-1) - (2 - n). Solve l = -4*m - 4*o - 12, 5*m - 3*o - o = -15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ynnnynyyyyy. Give prob of sequence nyyy.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2412*w - 2217*w - 1365 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - 0.1. Put 2, -2\/11, q in decreasing order.\nAnswer: 2, q, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/104443842 and 161\/66?\nAnswer: 1148882262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5787 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -118a776 (base 13) in base 10?\nAnswer: -5449840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 62, 466, 864, 1256, 1642, 2022, 2396?\n\"Answer: -3*z**2 + 413*z - 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 46718*d - 2. Let b(v) = 3*v - 282. What is b(z(y))?\nAnswer: 140154*y - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1584)\/(-112))\/(-9)*-7. Solve 3*d + 24 = 6*v - n*v, d + 6 = -v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 163.127 - 158.6. Round n to one decimal place.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 17*j - 31*j - 2*j.\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/(-4) - (-6)\/(-12). Let m = -2 + h. Determine j, given that -j - j + 0*j**3 + j**3 + j**m = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*o**4 + 15*o**4 - 5*o**4 + (4 - 4 - 2)*(1 - o**4 - 1) + 2*o**4 + 3*o - 3*o + 10*o**4 - 9*o**3 + 9*o**3.\nAnswer: 42*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-30)\/(-9))\/5 + (-532)\/6. Let s = k + 91. Suppose d + 2 = 0, -2*h - s*d + 414 = -26. Does 39 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382*x + 667*x = -471*x + 756 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - -3. Let i(m) = m - 2. Let p(k) = 3*k + 35. Let r be p(-7). Let n be i(r). Calculate the greatest common factor of n and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -145 in -1, 0.334, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 16 = -1. Let v(a) = 17*a - 2. Let j be v(p). Suppose 0 = 2*y - z - 32, -j = -y - 4*y + z. What is the remainder when 32 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 760 = -2*i. List the prime factors of i.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 8 = -u, 27 + 11 = -5*u - 4*i. Let n = 25 + u. Let s = 131 + -126. What is the remainder when n is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3174271*p**3*s - 2*p**3 + 2*p**2*s + 11*p*s + 2*p - 403654*s wrt p?\nAnswer: 19045626*p*s - 12*p + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15\/2468 - -92745\/32084. Find the common denominator of -83\/1274 and t.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-702)\/(-2340) + (22\/10 - (-1 - -1))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 3 (c) -1\/3 (d) -1\/5 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 725537210 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 33. Calculate the highest common divisor of 6 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 4*z**2 - 1501*z + 61. Determine v(-37).\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**4 - 42*f**3 + 198*f**2 + 242*f = 0?\nAnswer: -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 37*b. Let y(z) be the second derivative of z**3\/3 - 61*z**2\/2 + 3836*z. What is w(y(d))?\nAnswer: 74*d - 2257","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 12518939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-123*t - 168*t + 130 + 292*t)*(-3*t + 0*t + 5*t).\nAnswer: 2*t**2 + 260*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.011*-2587\nAnswer: -28.457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/3, -1, 1, 563, 1\/3, -0.2 in descending order.\nAnswer: 563, 1, 1\/3, -0.2, -1, -8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -56 and -4?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -66 + 7*w - 3*w + 69 - 2*w - 3*w + 9*w**2. Let d(i) = 1. What is 2*d(o) - k(o)?\nAnswer: -9*o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (1 - -9)*95*9\/75 and 4?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -29876 = -29884?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4723544953 - -8016277242. Let c = -3292732319.00000018 + h. Let m = c - -30. Round m to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.3 (c) 1\/11 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.63864 less than 7.104?\nAnswer: 7.74264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/((k\/(k**5\/k))\/k)*k*k*k*k)\/(k\/(k\/((k**(-3\/5)\/k*k)\/k))))\/(k**(-15)*k**(-11)) assuming k is positive.\nAnswer: k**(188\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 1, -59.\nAnswer: -59, -50, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide (68\/(-28) + -1)*119\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 310.8 - 311. Which is smaller: 71 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (-2)\/(-2)*-32. Suppose -4*u + l = -18. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -16*v**5 + 30*v**4 - 52*v**3 + 36*v**2 - 4*v. Let l(s) = -s**5 - 2*s**4 + s**3 + s**2. Let a(g) = 6*l(g) - z(g). Let a(d) = 0. Calculate d.\nAnswer: 0, 1\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-1)*(-1 - -1). Let u(k) be the second derivative of k + 1\/6*k**4 + 1\/3*k**3 + n + 0*k**2. Find the second derivative of u(s) wrt s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -17 - -17)\/(1 + 486\/(-483)). Solve 109 = 45*p - v for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*t + 49*t + 28. Let r be ((-1032)\/21)\/t + 6\/(-21). Solve -2*y - r = 4*i, -10 = -5*y - i - i for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2206*a + 37477 - 37477)*(1 - 1 - 1)*(-2 + 1 - 2).\nAnswer: -6618*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2 = -2*r, -2*c - 3*c + 2*r = 2. Suppose 78000 = -c*v - v. Let z be ((-80)\/(-6))\/(2\/v). Round z to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0*u + 1. Solve -3*b - 13 = -u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11254236671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 403 - 412. Let f be (9 + -10)*c\/6*2. Sort f, -2, -27, -5 in decreasing order.\nAnswer: f, -2, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uppg when four letters picked without replacement from {g: 4, l: 6, p: 3, u: 4}.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 8*b - 3. Let h be (-1 - 4)*8\/(-20). What is the remainder when l(h) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 41 - 3*u + 10 - 9.\nAnswer: -2*u + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -686 - -463. Let q = w + 232. Let m be (-575)\/(-70) + (-2)\/(-7). Which is greater: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10924 by -12.\nAnswer: -2731\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 302262 and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/3 (b) -0.2 (c) -6\/13 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjhjwjhjjwjjtjjjjhj. Give prob of picking 1 h, 1 w, and 2 j.\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15*((-99)\/440)\/(-1). Let g(r) be the third derivative of -x*r**4 + 0*r**3 - 9*r**2 + 27\/20*r**5 + 0 + 0*r - 9\/40*r**6 + 1\/70*r**7. Factor g(h).\nAnswer: 3*h*(h - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p**4\/13 + 61910*p**3\/13 + 119799714*p**2\/13 + 89799490*p\/13 - 29938322\/13 = 0 for p.\nAnswer: -3869, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*z - 5*g - 7, -z - 4*g = 11. Let f(y) = -y**2 + 7*y + 10. Let w = -28 + 36. Let c be f(w). Which is smaller: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 725 - 2387*i - 163 + 2389*i to the form y*i + q and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m**(-2)*m)\/m*m)**(-16\/3))**6 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 9*h**2 - 10*h. Let u(y) = 3*y + 1. Let r be 3\/(-4) + (-27)\/12. Let x be u(r). Let n be q(x). What is the greatest common factor of 48 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.3 in 1\/3, 0.26, 2\/15, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/55 - (-28)\/(-55).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -8*k + 1 - 3\/2*k**3 + 1\/2*k**2. Calculate z(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w. Let b be ((-7)\/28)\/((-1)\/68). Suppose -11 - b = -4*v. Let m(g) = -4*g + 0*g + v*g. Give p(m(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 - -219. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 3059. Let i(q) = -3*q - 12149. Determine -9*c(p) - 2*i(p).\nAnswer: -3*p - 3233","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -442, -1089, -1738, -2389, -3042, -3697, -4354?\nAnswer: -5013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4496, -6\/11, 305 in decreasing order.\nAnswer: 305, -1\/4496, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1879330021.\nAnswer: 53, 1637, 21661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4094052 is divided by 604?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(3) + -1)**2 + ((-2*1*sqrt(3))**2 - sqrt(3)) + ((sqrt(300) + 1)*2)**2)*1.\nAnswer: 67*sqrt(3) + 1255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -7*t**2 + t. Suppose 3*y - 4 = 2. Suppose 0*h + 2 = -y*h. Give g(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -121736 - -2?\nAnswer: -121734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 4*a**2 + 3*a. Let h be t(5). Suppose 3*x + 0*y + 5*y = h, 2*y = -8. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2102220 (base 4) to base 13.\nAnswer: -436b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**2\/2 - 8*x - 1. Let z = 2 + 5. Let q be u(z). Sort 4, 0, q.\nAnswer: q, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 182, 1, -1, -5 in decreasing order.\nAnswer: 182, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 100 = m, 11*m + 79 = 12*m - 2*u. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.38 (b) 0.087 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 - 14. Suppose 186*a - 188*a = -2126. Let v = -950 + a. Calculate the remainder when v is divided by g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29735642.\nAnswer: 2, 23, 37, 17471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 6348?\nAnswer: 634b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 220 and 88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - i + 2. Let h be w(2). Let f(m) = -m + 10. Let j be f(7). Sort h, 4, j in descending order.\nAnswer: 4, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 240 = 2*n. Calculate the common denominator of 0 + 1 - (-13)\/8 and -3 + 2\/(n\/(-275)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 13*v - 19. Let z be x(-14). Let u = z + 6. Suppose 3*l = -w + 20, w + u = 3*l - 9. Solve 5*c - 35 = -5*a, -w*c + 30 = 3*a + a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - (sqrt(385)*-2)\/sqrt(7))\/(-2*sqrt(20)).\nAnswer: -3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545128 is divided by 272431.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2. Let w(o) = 3*o + 2*o - 8*o + 6*o. Give w(m(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12211000210201 - 1?\nAnswer: -12211000210202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 28. Solve m = -5*i + 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1924*o + 1097*o + 976*o)*(-o**3 - o**3 + o**3).\nAnswer: -149*o**4 + 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 0.3, -7, -2, 3.44.\nAnswer: -7, -2, -0.04, 0.3, 3.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265 = -111*b + 376*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2687*j**2*q**2 - j**2*q - 3*j + q**4 + 4*q wrt q.\nAnswer: -5374*j**2 + 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 84*a**2 + 262*a + 98. Give l(-87).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*o + 2*o + 17, n - 23 = -4*o. Let k = -32 + 43. Calculate the remainder when k is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 201549?\nAnswer: 201550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 12:06 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -6.4. Let r = 749.22 - 750. Let m = r - -0.91. What is the third biggest value in -2, -1, m, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 35*p**2 + 96*p + 121. Calculate the remainder when b(32) is divided by 43.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-12))\/((-254)\/(-1016))\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*m + 5. Suppose 0 = 5*i + l - 79, m*i + 34 = 5*i - 2*l. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 981 is divided by 123?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -6460 smaller than 933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1 = 6. Let z(m) = 23*m - 5. Let y(c) = -197486*c + 3 - 197474*c + 394949*c. Determine u*y(o) - 3*z(o).\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjjjjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9144 is divided by 1306.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 13, d: 1, j: 1, m: 2, y: 3}. What is prob of sequence zmj?\nAnswer: 13\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30408*f - 15043*f - 2 - 15377*f + 2.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -0.15316.\nAnswer: -0.061264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2120 + 6139 + 16267 + 6849 + 11628)*(3*r + 2*r - 6*r).\nAnswer: -38763*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/19, -5\/2, 9, 0.1, 1\/68 in decreasing order.\nAnswer: 9, 4\/19, 0.1, 1\/68, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/3219447 and 61\/4599210.\nAnswer: 32194470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 288 + -185. Calculate the remainder when w is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*v - 1 + 561*v - 280*v.\nAnswer: 25*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmcmfcqqcccqc. What is prob of sequence fqz?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/6)\/(28\/84). Which is smaller: -7 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t - 1016*t**3 + 10 - t**2 + t**2 - 8.\nAnswer: -1016*t**3 - 15*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000615 to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/18 - (-2266)\/9. Let j be ((-2)\/(-8))\/(9\/m). What is the highest common factor of j and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19.3 - -28.3. What is the closest to 2 in -2\/3, -2\/11, 35, o?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 39396, 155363, 347898, 617007, 962696?\n\"Answer: a**3 + 38278*a**2 + 1126*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (19\/(-38))\/((-4)\/(-16)). Suppose 3*q + 3*n = -q - 11, 0 = 5*q - 4*n + 37. Sort -4, z, q in decreasing order.\nAnswer: z, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -873, -3563, -8037, -14295?\nAnswer: -22337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(1\/2)*j)\/(j**(-8\/5)*j)*j*j**(4\/5)\/j*j*j**(-3\/7))**(3\/13) assuming j is positive.\nAnswer: j**(939\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f + 7*f - f**2 - 3*f - f**3 - 3. Determine y(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*c - 3 - 1332*c**2 - 8*c + 363*c**2 - 6*c to the form d*c + k*c**2 + x and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejsyseesqtty. What is prob of picking 2 s?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 7533945.87 to the nearest 1000.\nAnswer: 7534000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6046521 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 166403525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**4 + j - 2*j**2 + 2*j - 2*j**4 - j to the form x + r*j**2 + t*j**3 + k*j + u*j**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 116314152 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.148, -0.29, -2, 0.5, 3\/5 in decreasing order.\nAnswer: 1, 3\/5, 0.5, -0.148, -0.29, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) - (sqrt(8) - -1*sqrt(8))*-4)\/(sqrt(24)\/(sqrt(6)*2)) + (5 + 2 + sqrt(128) + sqrt(128))**2 + (sqrt(128) - (sqrt(128) + sqrt(128)*-1*-6)).\nAnswer: 194*sqrt(2) + 561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -93366762 take away 28031?\nAnswer: -93394793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 7:41 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3017 and -5.\nAnswer: -15085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*g**2 + 118*g**2 - 101*g**2.\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 2*a - 18*a**2 + 28*a**2.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 - 10*y + 9. Let v be f(1). What is the biggest value in 0.2, v, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 16. Suppose -3*y = h*y - 1926. Suppose -y = -4*l - 13. Calculate the remainder when l is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.317451 + -10.297349943. Let n = l - 0.0201. What is n rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.6 - -0.4. Suppose -6 = 3*v, 0 = -5*j - v + 5*v + 98. Suppose 4 = o - x, -o + 2*x + j = 3*o. Which is the third smallest value? (a) o (b) z (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 7\/2, 3, 6\/49?\nAnswer: 6\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -25, -0.12828?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5613*p**2 + 25*p + 141. Let z(b) = -3370*b**2 - 15*b - 84. Let s(k) = -13*m(k) - 22*z(k). Find the second derivative of s(r) wrt r.\nAnswer: 2342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -26\/5. What is the nearest to 0 in -9, s, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8170000 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*a + 51. Suppose a = 5*y + 2. Suppose -4*q = 16, 3*q + 2*q = -y*g + 61. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 14 = -4*s - 30, -92 = -5*b + 4*s. Solve -3*o = -2*f + 52 - 40, -5*f = 4*o + b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 204 = -12. Let m = 79 + n. Let t(q) = -5*q**3 - q**2 + 6*q. Let g(x) = 0*x**3 + 17*x - 12*x**3 - 2*x**3 - 3*x**2. Determine m*t(f) + 6*g(f).\nAnswer: f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -25*w**3 + 6*w**2 + 5*w. Let r(v) = -25*v**3 + 5*v**2 + 4*v. What is 4*o(g) - 5*r(g)?\nAnswer: 25*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -1\/3, 6\/11, -1\/74, 1\/4 in decreasing order.\nAnswer: 6\/11, 1\/4, -1\/74, -1\/3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*u + 21*u + 1351 - 1352)*(5*u**2 - 4*u**2 - 3*u**2).\nAnswer: -126*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 103664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -124293 and -0.47?\nAnswer: 58417.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12641*w + 12623*w + 243972. Does 27 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -1 (b) 4 (c) -0.08 (d) 2 (e) -370\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 978 = t - 988, 4*v = 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6 + 10\/3. Let s = -8 + 11. Suppose -r*x = -u - 82, s*x = 2*x + u + 22. Calculate the remainder when 38 is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**5 - 2*z**5 - 4*z**5 + (0*z**2 - 3*z**2 + z**2)*(2*z**3 - 2*z**3 + 2*z**3) - z**5 + 0*z**5 + 0*z**5.\nAnswer: -10*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of ((-1)\/2)\/(5\/(-9660))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -93 - -95. Suppose -2*g - 3*t + 18 = 0, z*t = g - 4*g + 37. What is the remainder when 26 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*(1 + sqrt(832))**2 + -3*((sqrt(832) + sqrt(832)*3 + -4)**2 + sqrt(832)).\nAnswer: -39150 + 760*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -142849 or -999941\/7?\nAnswer: -142849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2353 - 126025?\nAnswer: -123562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 34*l - 2470. Calculate the remainder when t(94) is divided by 93.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.383 + -1.387. Let u = -2.07 - v. Let g = -2368\/35 + 334\/5. What is the biggest value in u, g, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**3 + 520252*x**2 - 520249*x - 1040502 = 0.\nAnswer: -1, 2, 520251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*q - 177*q + 82 = -45 + 32 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7567 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3111122 - 0?\nAnswer: -3111122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 - 4716*d - 1232313.\nAnswer: -3*(d + 331)*(d + 1241)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 917 + -919. Let q be 2 + 3 - 135\/60. Which is smaller: z or q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2. Let d = -1 - -4. Let p(m) = -7*m**2 - 4. Let x(i) = d*k(i) + p(i). Differentiate x(l) wrt l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83949887?\nAnswer: 7, 101, 16963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l - 2*l - l)*(-3 + 3 - 2*l) + 5*l - 3512*l**2 - 3*l + 3784*l**2 + (-3*l + l + 3*l)*(-l + 2*l + l) in the form j*l + x*l**2 + g and give x.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 67. Suppose 25 = -i - 3*t, -2*t - g = 3*i - t. Let u = 48 + i. What is the remainder when u is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 181.\nAnswer: -10\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**2 + 0 + 1\/60*t**5 + 0*t - 1\/6*t**3 + 5\/24*t**4. Suppose -20 = 2*x + 2*x. Determine c(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 0 = 4*q. Suppose -q*n + 10 = -3*d, -d = -0*d. Suppose -2*r - n*r = 12. Sort r, 3, -0.2.\nAnswer: r, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*b**(-1\/4))\/b)*b\/(b*b**(-2\/27))*b**5*b*b**(-4\/5)\/b)\/((b**(1\/2)\/b)**(4\/5))**(6\/31) assuming b is positive.\nAnswer: b**(93769\/16740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 63427367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 11*p - 4*p + 0*p + 6 = 3, 4*r - 5*p + 72 - 68 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2 - 1 - 6 + 2 - 4*f**2. Let k(l) = 15*l**2 + 27. Let t(m) = 22*h(m) + 6*k(m). What is the first derivative of t(c) wrt c?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 105*c**2 + 2*c - 1. Let o = 5 - 4. Let i be q(o). Let w = -18 + i. Calculate the greatest common factor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n**3 - 3*n**4 + 4*n**4 - 22*n**3)*(-2 - 3 + 6).\nAnswer: n**4 - 29*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 1:08 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 9*h**2 - 2*h + 1. What is o(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1172 + -1172. Let j(k) be the second derivative of -1\/9*k**3 + 1\/30*k**5 - 1\/3*k**2 + t + 1\/18*k**4 + 7*k. Factor j(h).\nAnswer: 2*(h - 1)*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*k - s - 396 = 0, 14143 = 4*k - 3*s + 14163 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 13*q**2 + 10*q - 5. Suppose -3*m = v - 15, 2*m - 14 = 8*v - 10*v. What is the tens digit of i(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 30*v - 57. Let r be o(-33). Let n be (-1)\/(-2*1\/12). What is the highest common factor of r and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 23 + 5 = -5*r, 0 = -4*d - 2*r + 16. Let q(h) = 3*h**2 + 2*h**2 - 4*h**d - h**3 + 1. Let l(m) = 3*m + 8. Let x be l(-2). Calculate q(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**2 + 14*t - 6. What is y(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1 - 2 + 2. Let r(c) = c + 2. Let j(q) = 2*k(q) - r(q). Suppose 3*g - 40 = -g - 4*f, 14 = 3*g - f. Give j(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -5\/577256177 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j**2 - 709*j - 40*j**2 - 6 + 15*j**2 + 16*j**2.\nAnswer: 6*j**2 - 709*j - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4474 - 6468. Let b = -2123.57 - r. Let z = 129 + b. What is z rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111012112202 (base 3) to base 8\nAnswer: -773522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 174000104 - -7?\nAnswer: 174000112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -258151611 from -5460.\nAnswer: 258146151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*z - 21*z - 11*z)*(14 + 1 - 2)*(-3*z**2 + 0*z**2 + 2*z**2) as r*z**3 + a*z**2 + w + l*z and give r.\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3, -128, -191, 0 in decreasing order.\nAnswer: 3, 0.1, 0, -128, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u**42\/u)))\/(u\/(u**(2\/55)\/u)) assuming u is positive.\nAnswer: u**(2147\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5628 and 84?\nAnswer: 5628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4999989.9 times -1\nAnswer: -4999989.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 5*n + 39 = -61, 0 = i - 4*n + 36 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.622631 micrograms to nanograms.\nAnswer: 7622.631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 2*i - 24, -4*t - 4 = -5*i - 0. Suppose 1 = t*n - 63. Let y = 28 - n. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, q: 8, c: 2}. What is prob of picking 1 u, 1 c, and 2 q?\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 22223421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g - 13*g + 3520 = 0. Calculate the highest common factor of 55 and g.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-288)\/2880*(-5)\/(-10)*-116?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8290 - 4422. Suppose -r + j + 6133 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1*2)\/(-2)*(-25 - (-17 + -3)). Suppose 0 = 3*o - 3 - 6. Sort -26, o, n in ascending order.\nAnswer: -26, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -138, -341, -646, -1065, -1610?\nAnswer: -2293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1361 - -5?\nAnswer: 1366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 675\/125 - 6\/(-10). What is the common denominator of 427\/(-168)*(-8)\/y and (-270)\/336*(-4)\/(-1)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67041793*m**2*o*v**3 + 65529*m**2*o*v**2 + 2*m**2*v**3 - 39*m*o - o*v wrt v.\nAnswer: 402250758*m**2*o + 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*x + 7 - 344, 0 = 5*d + 3*x - 357. Suppose 2 + 0 = n. Suppose -n*k + 92 = 2*k. What is the greatest common factor of d and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q + 16. Let u be j(6). Solve -2 = 6*g + u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 7. Let p be r(3). What is the second derivative of -p*u**3 + 5 - 5 - 2*u + u**3 wrt u?\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4258*x - 11527*x - 170399 = -5216*x for x.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 7*q**2 + 7*q - 1. Let x be v(6). Suppose 115 = x*c - 65. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 21. Let d be h(-9). What is the greatest common divisor of 210 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02 + -0.48. Let m = -29 + 32. What is the smallest value in 0.1, m, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 7876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 50485156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**4\/5 + 1144*f**3\/5 - 16086*f**2\/5 - 69784*f + 753064\/5 = 0.\nAnswer: -13, 2, 26, 557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19916 is divided by 1799?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 9:32 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-3 + 12 - 18) + (0 - -23)) - 8\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -12*n**2 + 15*n + 2. Let x(u) = 6*u**2 - 7*u - 1. Let t(s) = -6*d(s) - 13*x(s). Let z be t(-1). What is the tens digit of (10\/3)\/((-2)\/z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 137 - 1127*p + 16 + 1128*p in the form x*p + v and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 16 - 18) + -1 - -36?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - i - 2)*(1 - 1 - i**2) + 0*i**3 + i**3 + 2*i**3 + 4*i**3 + 3*i**3 + i**3 in the form k*i**3 + l*i**2 + o + t*i and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (264\/5)\/(21\/105). Suppose -c = -12*j - 10*j. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + d**5 - d**2)*(-155 - 26 + 39).\nAnswer: -142*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*i**3 + 5292\/5 - 249\/5*i**2 + 1008*i.\nAnswer: 3*(i - 42)**2*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 330*n**4 - 2*n + 4*n**3 - 13*n**3 - 332*n**4 - 3 to g + l*n**2 + z*n**4 + h*n**3 + i*n and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 14*l + 623. What is the least common multiple of a(-37) and 190?\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(45\/21)*-15*2\/36?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 15 = 11. Suppose -13*z + 144 = -r*z. What is the highest common divisor of 80 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30948*w**2 - 1671208*w - 864.\nAnswer: -4*(w + 54)*(7737*w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyy when three letters picked without replacement from cdcutcuyucxtydddt?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -6*m**3 + 1583642*m**2 + 8974124*m + 10557840 = 0.\nAnswer: -4, -5\/3, 263946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2451902 - -0.055465\nAnswer: -2451901.944535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799 a factor of 12166704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -449 = -2*r + 4*w + 69, 4*r = 3*w + 1021. Suppose -5*b + r = -182. What is b rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 + 11 + 44 + 51*v to w*v + r and give r.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*w**5 + 182*w**4 - 5328*w.\nAnswer: 500*w**3 + 2184*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4 = 4*g, -94*g = -97*g - r + 1. Factor -1\/5*f**3 - 1\/5*f**2 + g + 0*f.\nAnswer: -f**2*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 10*r**2 - 10*r + 14. Let d be o(-11). Suppose 61 = -d*z + 496. Suppose b - 145 = z. What are the prime factors of b?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u**2 - 5*u - 3. Let i be n(4). Suppose -i = -b + 96. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by (-7)\/1 + 44 + -5.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4949986.\nAnswer: 2, 479, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (-16 + 5 - -8) + (-25 - -27)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 742 and 318?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15901977 is divided by 8134?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*m + h - 11, -m - 4*h = -22. Let o(g) = g + 2. Let s be o(0). Sort -8, m, -1, s in increasing order.\nAnswer: -8, m, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.029 + -0.471. Let s be (-33)\/45 - 1\/(-3). Which is the closest to s? (a) -0.2 (b) g (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -689, -701, -713?\nAnswer: -725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 + -30 - -47) + 41.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*k = -15. Find the third derivative of 7*w**2 + 4*w**3 + 16*w**2 - 31*w**k wrt w.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -49, 21, 129, 287, 507, 801, 1181?\nAnswer: 1659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 + 0*b**3 + b**4 + (-b**2 - b**2 + 0*b**2)*(-5*b**2 + 4*b**2 + 0*b**2) - 7*b**4 + 14*b**4 - 10*b + 8*b.\nAnswer: 10*b**4 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 c when three letters picked without replacement from {o: 1, m: 2, e: 2, g: 5, q: 2, c: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 3*s + 3*z - 23632 = -23701, -4*z - 22 = -3*s for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.539 - 0.539012044. Round n to 7 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (-4)\/6*6. Let d be 1*(-6 + 2)\/f. Determine a so that -2*a + 3*a**4 + 2*a**3 + 0*a + d - 5*a**2 + a - a**3 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(128) + (2*sqrt(128) + -2 - sqrt(128) - sqrt(128) - sqrt(128)) - sqrt(128)) + 2 + sqrt(128) + 3)*1*-5*-2)**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 = -3*z - 38. Let j(q) = -q**2 - 8*q + 21. Let v be (2 + -3)\/(2\/10). Let m be j(v). Which is bigger: m or z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 84 = -13*f. Let h(m) = -1 + 3*m**2 - 23*m + 13*m + f*m + 2*m**3. Calculate h(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(0\/(-11))\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**4 + 4*x**4 - 3*x**4 + x**4 + 0*x**4 - 3*x**4 + (-x + 0*x + 2*x)*(0*x**3 - 4*x**3 + 3*x**3) - 10 - 41095*x**4 + 10 + 11*x**3 + 41271*x**4.\nAnswer: 174*x**4 + 11*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ydyyydddydyy. Give prob of sequence ydyd.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/7 - 512670*l**2\/7 + 32853559776*l\/7 + 32854072448\/7.\nAnswer: 2*(l - 128168)**2*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77)*-2 + sqrt(77) - sqrt(77))\/sqrt(7) + 2 + sqrt(99).\nAnswer: 2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -521\nAnswer: -4\/521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/406*(-42)\/(-1302)*217.\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*c**3*u + 4*c**2*u + 237*u wrt c?\nAnswer: 15*c**2*u + 8*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 + 232*j**2 - 71 - 233*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75189 and 3408?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1086544, -1086547, -1086550, -1086553, -1086556, -1086559?\nAnswer: -1086562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 6*d - 24 = 0. Let p(i) = i**2 - 7*i + 1. Calculate p(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + r**2 - r + 64. Let s be p(0). Suppose 10 = 4*w - 2*w. Suppose w*m - s - 116 = 0. What is the greatest common factor of 180 and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 169 - 160. Suppose -21*s = -x*s - 2784. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + -43. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - -1) + 126\/(-30). What is the closest to 0.2 in 9, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 49 in -57\/5, 0.03, -1\/35?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(88)*-2 + sqrt(88) + sqrt(88) + sqrt(88))\/(sqrt(800)*2))**2.\nAnswer: 1859\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4\/9 (b) 3 (c) 2 (d) 261 (e) 1 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2574 and -9126919?\nAnswer: 9129493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (10115\/(-3325) + 3)\/(2\/5) - (-1427)\/19?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378.3972 rounded to one dp?\nAnswer: 378.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*m**3*o + 127*m**2*o - 5*o - 8907 wrt m?\nAnswer: -6*m**2*o + 254*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, y: 2, a: 1, z: 2}. What is prob of picking 2 z and 1 o?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 1 = 2*v. Let w be (10\/(-1 + -1))\/v. Suppose w*l + 4*s = 1867, 5*s + 1009 = 3*l - 89. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 436*o - 215*o - 4307*o**2 - 221*o + (2*o + 8 - 8)*(-o + 2 - 2).\nAnswer: -4309*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 250 - 46. Suppose -18 = 11*a - s. Solve -a*n - 12 = 0, 17 = -u + 2*n - 5*n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*q + 3 + 1986*q**2 + 3831*q**2 - 8*q - 161*q**2 to the form o*q**2 + i*q + n and give o.\nAnswer: 5656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1446981 is divided by 638.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11065 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 31, 23, 21, 31, 59?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79.9 + 80. Is p at least as big as 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 604265 = 409*t - 392*t. List the prime factors of t.\nAnswer: 5, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.29 + -4.73418630364.\nAnswer: -2.44418630364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + (-27)\/6)*294. Let j = f - 145. Solve 0 = -j*m - 0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1842 and 0.4.\nAnswer: -736.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 146 and 110522?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 i when three letters picked without replacement from {o: 1, k: 3, q: 3, s: 1, b: 2, i: 3}?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 924031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3351)\/(-9) + 10\/(-30). What is the greatest common factor of 60 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = x - 37, 5*o = -3*x + 154 - 43. Suppose -4*k - 2*k = 12. Find the common denominator of x and 0 + k - (2 - 66\/(-21)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 46*s - 1675. Give v(24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 85537, 92940, 100343?\n\"Answer: 7403*t + 78134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.089 take away -0.1461?\nAnswer: 0.0571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*d - 15315 - 45453. Let k be (-750796)\/(-444) + 1 + -4. Let f = d + k. Is 0 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 12*n + 16. Let z be r(13). Let w be 1\/((-2)\/3)*(-8)\/z. Is w\/((-16)\/(-6228)) - 4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 2*q - 4*q - q + 4*q + 2*q - 3*q - 3*q + 4*q + (3 - 4 + 3)*(4*q - 2*q - 4*q) + 4 - 4 - 2*q + 3*q - 7*q + 3*q - 5*q - 3*q - q)*(-1 + 1 - 1).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 12*o**2 + 2. Let y be j(-3). Let c = -8655 - -8697. Let u = y - c. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 478583084?\nAnswer: 2, 7, 31, 551363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36 or -2\/104463?\nAnswer: -2\/104463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1055)\/(-2)*-12*(-8)\/120?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**12*n**(-13)*n assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v + 36 - 36.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-209*c - 177 + 177)*(-2*c**2 + 3*c**2 + c**2) + 1 - c**3 + 1 + 3*c**3 as x*c**3 + q + f*c + g*c**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*l = 4*m + 55, 43 = 3*l - m. Suppose 0 = -23*j + l*j + 1350. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273396541351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -12*j - 6. Suppose 0 = 25*k - 26*k + 3. Let u be c(k). Let b = u + 169\/4. Put 3, 0, b in descending order.\nAnswer: 3, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101211202 - -10?\nAnswer: -101211122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 2)*(-3*l**2 + 3*l**2 + 2*l**2) - 98*l**2 + 1533 - 1533 - l**2 + 2*l**2 + 0*l**2 + (4 - 2*l**2 - 4)*(0 + 8 - 2) as f*l**2 + w + i*l and give f.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*x**2 - 23*x**2 + 5*x**3 + 55*x**2.\nAnswer: 5*x**3 + 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/6*(-6)\/4. Let j be 1\/(((-1)\/z)\/21). List the prime factors of (-6)\/j - (-114)\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/4 of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 14*c + 3. Suppose -4*u - 2*v + 12 = 0, 7*u - 3*u + 3*v - 14 = 0. Calculate the remainder when q(u) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44368)\/(-470))\/(28\/(-35))*(10\/12)\/5.\nAnswer: -59\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 346670?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 7) in base 3?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 - 10*k**2 - 35*k - 20.\nAnswer: 5*(k - 4)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1508.103 centimeters in millimeters?\nAnswer: 15081.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/(-28) + -3*1959\/(-36). Differentiate 26*y**3 - 20*y**3 + 38*y**3 - p*y**3 - 123*y**3 - 110 wrt y.\nAnswer: -729*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 122.3 * -38.4222.\nAnswer: -4699.03506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.77 take away -421.9?\nAnswer: 448.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4005329 and 9071.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((15\/(-40))\/(12\/(-176)))\/(-9*(-17)\/153).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71438344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65.1 - 92. Let p = r + -399.1. Let w = -426.317 - p. What is w rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4706108663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 119531724, 119531716, 119531706, 119531694, 119531680?\n\"Answer: -n**2 - 5*n + 119531730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1272 is divided by 1261?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwswsss. Give prob of sequence sl.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 6. Calculate p(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 138 and 267260?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 459946, 459945, 459944?\n\"Answer: -w + 459947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 + 5594 = 70*u. What is the highest common divisor of 1178 and u?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -324, -2369, -7918, -18723, -36536, -63109?\n\"Answer: -292*c**3 - c - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**2 + 3*i + 54. Let s be c(14). Is -492 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8a - -6?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4511813671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7053 and 402021.\nAnswer: 402021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64.9 - 42.9. Which is the third biggest value? (a) -4 (b) 2 (c) -3 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16729\/4 - -4181. Which is the second smallest value? (a) d (b) -39 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**6\/120 + r**5\/20 - r**3\/3 + r**2. Let j(u) = u**2 + 15*u - 65. What is the lowest common multiple of o(2) and j(-19)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 10*j = -12. Let z = -7\/4 - j. What is the third biggest value in -4\/3, 4, z?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -6. Let g(r) = 3*r**2 + 2*r + 2. Let h(w) = 5*w**2 + 2*w + 2. Let i(t) = 2*t**2 + t + 1. Let o(z) = 2*h(z) - 7*i(z). Determine n*o(u) - 6*g(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*d - 127 + 394 + 717 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 53*m + 624. Determine t(-11).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**8\/5880 - i**7\/1470 - i**6\/1260 - i**3\/3 - i**2. Let j(n) be the first derivative of s(n). Let j(d) = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1128 and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.20427 - 0.19978. Round a to 3 dps.\nAnswer: -0.404","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 203532 divided by -4846\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -878311\/367650 + 2\/20425. What is the common denominator of k and -1\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/679 and -43\/388.\nAnswer: 2716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -478, 88, 2860, 8942, 19438, 35452?\nAnswer: 58088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 3. Let l(j) = 8*j**2 - 81*j + 12. Let t be l(10). Suppose 2*q - 4*u - 13 - 11 = 0, -t*u = q + 4. Is f less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-5 - (-5 + 5 + -7))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4120 divided by -3?\nAnswer: 4120\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 54*g**5\/5 - g**4\/4 - g**3\/2 + 5*g**2\/2 + 3*g. Is q(1) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4562, 18252, 41076, 73040, 114150, 164412, 223832, 292416?\n\"Answer: l**3 + 4561*l**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2637, -2641, -2645, -2649, -2653?\n\"Answer: -4*d - 2633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r = 12*r + 5895. Suppose 3*x + r = 4*d + 66, 0 = 5*d - 4*x - 736. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2001.78 + -2002.129887. Let v = w - -0.35. Round v to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000019481 rounded to seven decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/2035 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/5 - (1 + 42\/15). Let r be i + 8\/2 + 4\/(-6). Suppose 3*h = -h - 4. What is the nearest to h in -3, -0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1005804092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(5)) + sqrt(125)*-4.\nAnswer: -15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 140, 207, 274, 341?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jflg when four letters picked without replacement from {j: 4, b: 4, f: 1, l: 5, g: 1}?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 6:05 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2888323 or -2888338?\nAnswer: -2888338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z + 6. Let y be m(-4). Let l(n) = -2*n - 111. Let i be l(-55). Is 1 - i - 396\/y a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -142, -210, -260, -286, -282, -242?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 191549800 and 1300?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/1*(-5)\/(-45)*6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -164236 (base 7) to base 15\nAnswer: -9a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2375455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*g = -257*g + 10 + 55 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*l + 62 = 142 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 12*p**2 + 4*p - 20. Let z be k(12). Let o be (z\/(-7))\/((-2)\/4). Solve o = 3*b + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tppcpttqqg. Give prob of sequence pc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 7\/8)\/(26\/(-52)). Which is the closest to 0.1? (a) 0.1 (b) 25 (c) f (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193589 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 2. Let g(x) = -4*x. Give b(g(p)).\nAnswer: -4*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801735 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4 + 27*q**3 - 36*q**3 + 5 with respect to q.\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -18, -5, 4 in ascending order.\nAnswer: -18, -5, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6253 rounded to the nearest 100?\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -3*p**4\/2 + 4284*p**3 - 147273*p**2 - 2339244*p - 4375371\/2 = 0.\nAnswer: -11, -1, 47, 2821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8961962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -5*z + 8, -z - 66*r - 12 = -70*r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -42449189, -84898411, -127347633, -169796855?\n\"Answer: -42449222*p + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 391 and 105961.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1)\/((46\/(-92))\/(2\/(-12))).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 9*p**2 - 4. Determine l(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*k**3 - 5*k**3 - 8*k**3 - 7*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*t**2 - 2*t**3 - 45*t**2 - t**4 - 37*t**4 in the form o*t**2 + p*t**4 + m*t + z + b*t**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 73, 97, 119, 139, 157, 173?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.07, -2\/15, 0.02, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.012 + -28.\nAnswer: -28.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22337, -89411, -201201, -357707, -558929?\n\"Answer: -22358*n**2 + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 5*f + 9. Let i be (-5 - -2)*(-21)\/(-9). Is b(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.3709337 kilometers?\nAnswer: 370933.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2997381719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-30)*-5*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3510 is divided by 100?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + (sqrt(891)*-2)**2 + -2)*5 + 4.\nAnswer: 45*sqrt(11) + 17814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u + 7. Let x(l) = -2*l + 2. Suppose -c + 1 = -b - 3, -11 = 4*c + 5*b. Let j(f) = 4*f + 3. Let r(o) = c*j(o) + 4*x(o). What is 7*d(k) - 5*r(k)?\nAnswer: -k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -5*m**6 - 28*m**3\/3 - 76. Find the third derivative of c(o) wrt o.\nAnswer: -1800*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -5*r**4\/24 - 13*r**3\/6 - 29*r**2 - 4. Give b(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 + 196*j**2 + 345 - 362 + 3*j.\nAnswer: 191*j**2 + 3*j - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -277.6 and 728.\nAnswer: -202092.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 8:46 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0520925 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (-35 + 6 + 19) - (7 + -2).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -522*a + 524. Let b be p(1). Solve -3*n + 3 = -b*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/14*10\/12. Let k = s - -41\/84. Determine y so that k*y**5 + 0 + 0*y - 1\/4*y**2 + 1\/4*y**4 - 1\/4*y**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/257898 and 4\/477.\nAnswer: 773694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24*5\/10*(-240)\/(-45) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 22. What is the common denominator of (-8)\/(-12) - (-53)\/o and 121\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -38. Suppose -221 = -4*l + 15. Let d = l - j. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -287, -275, -261, -245, -227, -207?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*k - 56, 4*l + 7*k - 4*k = 20. Let f(y) = y**3 - 6*y - l - 5*y + 0*y + 7*y - 5*y**2. Give f(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, u: 2, x: 1, h: 1, m: 1, d: 2}. What is prob of picking 1 h, 1 m, and 1 e?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 186882490 to the nearest 1000000.\nAnswer: 187000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -9*m - 219. Let d be j(-25). Solve u - d = -p, 0*u + 22 = 4*p + 3*u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -144. Let s(b) = -121*b + 1 + w*b - 1. Suppose 0 = -2*l + x - 9, 3*l - x = -l - 13. Calculate s(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -819, -817, -815?\n\"Answer: 2*d - 821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7706503146 - 0.198.\nAnswer: -7706503146.198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + p + 1, 547*b - 550*b + 2*p - 5 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, y: 2, e: 1, c: 8, u: 2}. What is prob of picking 1 y and 1 v?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/61, -4, 2\/7, 5301 in decreasing order.\nAnswer: 5301, 2\/7, 2\/61, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9139253*j**2*v**2 + 2*j*v - 516940*j - v**2 wrt j?\nAnswer: -18278506*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -297*b**3 + 837*b**4 - 70*b**2 - 3 + 3*b - 262*b**3 + 561*b**3 - 25*b**4 wrt b.\nAnswer: 19488*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one twentieth of a meter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (-6)\/(-3) + 33. Suppose 15 = 3*a - d. What is the lowest common multiple of 8 and a*(5\/(-2) - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.042 and -26.\nAnswer: -26.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 - 5*u + 6. Calculate z(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1*15*4\/(-12)*40\/25\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*k. Suppose -12 = 2*t + 2*t - 2*s, 0 = -s. Let u(h) = -4*h**2 + 12*h - 5. Let a be u(3). Sort t, a, k in decreasing order.\nAnswer: k, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001290819 rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 31*m + 35. Let j be v(-1). Put -1, 12, -4, j, 2 in ascending order.\nAnswer: -4, -1, 2, j, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 277 - 7*k - 3*k - k - 9*k + 149. Calculate s(22).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13633*b - 6929*b - 6707*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*l = 71*l + 70*l + 68*l. Solve 5*o + 23*o - 84 = l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18252\/(-8)*(-3 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 64879582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 0 - 3\/2*z**2 + 3\/2*z = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29244 and 36948.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 20*b - 15*b. Let x(d) = d - 1. Let u(i) = i. Let v(q) = -3*u(q) + 2*x(q). What are the prime factors of v(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 40 + 35 + 41 + 41 - 156 - m. Let t(c) = -16*c + 6*c + 2*c + 6*c + 1. Give -k(x) + t(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n = 16*n + 5*w - 20, -4*n + 4*w = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -11\/167666?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 370.7 and -6.\nAnswer: -2224.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1755 a factor of 591012045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/j**(4\/15)))\/j)\/j)\/j**9 assuming j is positive.\nAnswer: j**(-161\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1521 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*((-3 - 1) + 0). Let r = 0.224 + -0.326. Let v = r + -4.898. What is the second smallest value in f, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 3. Suppose -2*p - a*z = -12, 3*p - z + 6*z = 17. Solve 0 = -p*m + m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 119 = -5*m. Let s(h) = -69*h - 1444. Let r be s(-21). Sort m, r, 0 in decreasing order.\nAnswer: r, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*sqrt(156))\/sqrt(12).\nAnswer: -2 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3 - y - 1 + 0. Let o(r) = -3. Suppose d = 3*f - 2, -3*d + 5*f = 2*d + 10. Let w(a) = -a. Let i(v) = d*w(v) + o(v). Give 5*i(c) + 8*t(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9970, -9974, -9978?\nAnswer: -9982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 8:49 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (300*q**5 - 175*q**5 + 343*q**5)*(2 - 4 + 25).\nAnswer: 10764*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dlss when four letters picked without replacement from lddlldsdlsdl.\nAnswer: 5\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4529 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 2 = -5*v. Let g(b) = -13 + b + 15 - v. Let p(l) = 36*l**2. Determine g(p(j)).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 77*l**2 + 778*l + 32. Calculate t(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 767185764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -34. Suppose n = -1 + 4. Suppose -i = 2*w + 4, -n*i + 5*i = 5*w + 28. Which is the third smallest value? (a) 2 (b) i (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/j**12*j*j)*j*j)**(3\/5)*(j\/(j*j**(12\/7)))\/(j**9\/j) assuming j is positive.\nAnswer: j**(-109\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j - 23. Give z(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2522, -9847, -21990, -38939, -60682, -87207, -118502, -154555?\n\"Answer: 2*o**3 - 2421*o**2 - 76*o - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yymeaayaeylyyy. Give prob of picking 1 y and 1 e.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 40436064 to the power of 1\/4, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 12:45 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 483.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/2828 and -115\/472276?\nAnswer: 472276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 549032896 and 256.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3279d (base 14) in base 9?\nAnswer: -205620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 13, u: 3}.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 - 4*x**3 + 3*x**3)*(-4 + 1 - 4) + 4*x**2 + 9*x**3 - 4*x**2.\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - b = 0. Suppose -2*v - 3*v = b. Let o(k) = v - 2 + k + 8. Give o(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, o: 2, u: 3, p: 1, l: 1, c: 3}. What is prob of sequence mu?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*(y\/(y\/(y\/(y*y*y**(3\/5)))))\/y*y))**(-7) assuming y is positive.\nAnswer: y**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**5 + 2669*c**4 + 3*c**2 - 236844*c wrt c.\nAnswer: 40*c**3 + 32028*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 518 = -2*o, 0 = -s + o + 98 - 0. Suppose -3*x = -34 - 44. Calculate the remainder when s is divided by x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {w: 4, e: 16}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + ((0 + sqrt(1088) - sqrt(1088)) + -5 + sqrt(1088) - 5*(sqrt(1088) + 1)))*5 + 4)**2.\nAnswer: 16320*sqrt(17) + 437801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 372637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33668, 33638, 33582, 33494, 33368, 33198, 32978, 32702?\nAnswer: 32364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g. Let b(v) = -970266*v**2. Determine k(b(f)).\nAnswer: 1940532*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(52) + sqrt(208)) - sqrt(52))\/(sqrt(32)\/sqrt(200)).\nAnswer: -65*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*m**3 - 91*m**3 + 1 + 8*m**3 + 31*m**3 + 14*m**3.\nAnswer: m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.2 + -1.1. Let c = -0.3 - j. Are -2 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 36512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-4))\/((-10)\/20). Let v(z) = 11*z**3 + 3*z**2 - 3*z. What is the least common multiple of v(y) and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-11)\/(5 - 4\/1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1011011011?\nAnswer: -1011011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1678, -1685, -1704, -1741, -1802, -1893?\n\"Answer: -g**3 - 1677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1376801?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 1584*y + 156816.\nAnswer: 4*(y - 198)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 12968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**5 + 324*y**4 + 4956*y**3 - 64340*y**2 + 187200*y - 162000 = 0. Calculate y.\nAnswer: -45, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-8)*((-8)\/66)\/1\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-1)\/1*1*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138720 and 272034.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + sqrt(475))**2 - (sqrt(19) + ((sqrt(228)\/sqrt(4))\/sqrt(3) - sqrt(19))**2 + (sqrt(304)*-2)**2).\nAnswer: -739 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.43 minus -0.016359209?\nAnswer: 45.446359209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 31 - (73 + -41)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.009 from -1.991.\nAnswer: -1.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*t = -20, 2*p - 4*t + 26 = 4*p. Let d(j) = -j - 1. Let y be d(-6). Solve 0*n + y*n = p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -58*r + 60. Let k be t(1). Solve -v - 23 = 2*x + 3*x, -3*x - 19 = -k*v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*m = y + 4, 3 = -5*y + 3*m. Let j(w) = y*w**2 + 12*w**2 + w**2. Let q be j(-1). What is the highest common factor of q and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 201086 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 9. Let w be d(0). Let j be (w\/3 + 4)*3. Let z(m) = 7*m - 1. Calculate the remainder when 37 is divided by z(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -450982, -901917, -1352802, -1803637, -2254422, -2705157?\n\"Answer: 25*g**2 - 451010*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11876 - -11819 - (1 + -47)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6795, -6776, -6753, -6726, -6695, -6660?\n\"Answer: 2*s**2 + 13*s - 6810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/19980 and -143\/2664.\nAnswer: 39960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.74 - -0.72. Let t = -0.22 - p. Which is the second biggest value? (a) -1 (b) t (c) -0.1 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -15*y - 2. Let t(z) = -6*z**2. Give o(t(h)).\nAnswer: 90*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*r**5 - 8*r**4 + 12*r - 11?\nAnswer: -160*r**3 - 96*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/8 - 0) + (-119)\/(-2). Suppose -s + 3 - 10 = 0. Let x = s + d. What is the remainder when x is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52732842 and 14598?\nAnswer: 4866","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 18*r**3 - 14*r**2 - 12*r - 15. Let b be t(13). Let f be (b + 0)*(637 - -3). What is f rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 58?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1964.038 kilograms?\nAnswer: 1964038000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 2:10 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.1 - -3.1. Let w = 0.007 - -20.993. Which is the closest to -1? (a) -5 (b) w (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 11:27 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 146637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) - ((sqrt(720) + -3)*-3 + sqrt(720)) - sqrt(720) - ((sqrt(5) + -1 - sqrt(5))*3 - (sqrt(150)\/sqrt(5))\/sqrt(6))) + -3.\nAnswer: -9 + 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -t - 18, -3*d - d - 5*t + 6 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.02, -3\/5, -21, 0.2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -6\/6671, 118?\nAnswer: -6\/6671","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4149992513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2. Let g(o) = 1193*o**2. Calculate g(m(n)).\nAnswer: 4772*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222926449.\nAnswer: 19, 11732971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 1\/2, -0.11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124366, 497526, 1119488, 1990264, 3109866, 4478306, 6095596, 7961748?\nAnswer: 10076774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-60)\/(-1 - 3) + -2. Let c = q - 10. Suppose -p - c*j = -5*j - 29, -16 = -4*j. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 1327. Let w(g) = g - 2659. Calculate 7*o(i) + 4*w(i).\nAnswer: 4*i - 1347","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/39467 and 67\/8.\nAnswer: 315736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -21 in increasing order.\nAnswer: -21, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24563\/1842 - 1\/614. Find the common denominator of t and 7\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21*((-80)\/(-180))\/(4\/3). Let c(v) be the third derivative of v**4\/12 - 3*v**3\/2 + v**2. Let j be c(s). Solve -17 = j*h + 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 21*b - 3*b + 7)*(-2 - 3 + 6).\nAnswer: 18*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1.334 * 0.5\nAnswer: 0.667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(72)*1) + 0 + 1 + sqrt(125))**2*5.\nAnswer: 155*sqrt(5)\/3 + 24205\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {k: 9, z: 11}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 13 = 101. Suppose -x = -7*m - 1. Suppose -m*r + 19 + 197 = 0. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-286) - 1701\/154?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10974 - 10868. Solve 13*h - 15 = -l for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f**2 - 26577*f + 399553. Give t(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -18 - (3 + (6 - 4) + 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ez when two letters picked without replacement from {o: 3, e: 4, w: 3, z: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 2*m + 1. Let o(y) = 30*y**2 - 4*y + 5. Determine 2*n(v) - o(v).\nAnswer: -28*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 74096489*k - 30373473 with respect to k.\nAnswer: 74096489","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**9\/63 - i**5\/30 - i**2\/2 + 7*i. Let p(d) be the first derivative of v(d). Find the third derivative of p(a) wrt a.\nAnswer: -960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-6) - (-292)\/12. Let f be 10\/l*5\/6*1. What is the third biggest value in 1, 0.14, f?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5.15388 (b) 1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {c: 2, b: 1, h: 1, o: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1271*k = -1287*k + 543244800. What is k rounded to the nearest 1000000?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.42959 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 19*q**2 + 3. Let z be a(19). Let h be ((-42)\/21)\/((-2)\/z). Solve 5*i - y = -13 + 32, 0 = -4*i - h*y for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 379897 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 286268 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 246 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -89*t**4 - 2*t**3\/3 + 1395*t + 2467. Find the first derivative of a(s) wrt s.\nAnswer: -1068*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11334*i**2*p**3 - 413*i**2*p**2 - 3*i**2 - 8*i*p**2 + 77*i*p + 140*p**3 - 91*p**2 wrt i.\nAnswer: 22668*p**3 - 826*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 + 6*f**3 - 2*f**3 + (4 + 2*f - 4)*(f**2 + f**2 + 0*f**2) - f**3 - f**3 + f**3 + (0*f - 22*f - 35*f)*(-5*f**2 + 3*f**2 + 0*f**2).\nAnswer: 119*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8186 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15502236.\nAnswer: 2, 3, 619, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/15 - 2541\/(-605). Solve 12*j = 2*p + 9*j - 10, -4*j = -t*p + 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 35*b - 13. What are the prime factors of n(6)?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(-4)\/24*-6. Let i be -3 - (0 - (-1 + 3)). Let m = c - i. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -27*h + 14. Let m be q(2). Let o be 3\/(-2)*408\/9. Let n = m - o. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3766\/9 + -418. Which is the second smallest value? (a) t (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/16530 and -49\/5130.\nAnswer: 148770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.58 + 3.2. Let m = 0.08 + z. Let o = m - -0.29992. What is o rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 + 25*u**3 + 0*u**2.\nAnswer: 25*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 7. Suppose 6*j - j - 25 = z. Factor 6*k**3 - 3*k**4 - 5*k + j*k - 3*k**2.\nAnswer: -3*k**2*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 14*b**2 - 12*b + 18. Let q be k(-13). Suppose -q*u = -3*u - 36. Let j = u - -104. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 31473.28 weeks?\nAnswer: 19035039744000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - -38671.\nAnswer: 38670.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*2\/(-4) + 1. Let m be 1 + (-2 - (-15)\/5). Sort -3, q, m.\nAnswer: -3, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16778942 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -930 in -0.05, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, i: 1, q: 5, c: 6, w: 5}. Give prob of sequence cqj.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3987 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71.4 + -8.6. Let t = b - -77. Put -0.3, 2, t in increasing order.\nAnswer: t, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -188\/445 + 2\/89. Let g = 6.1 + -5. Let q = 0.9 + g. Put a, q, 1\/5 in ascending order.\nAnswer: a, 1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 10:17 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-23) - (72\/69)\/((-61)\/(-122))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 342 and 1197?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 188 or 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -314, 13, -5 in decreasing order.\nAnswer: 13, -1\/4, -5, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 260 = 2*k. Suppose -2*z - k = -27. Let f = z + 29. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12150941 to the nearest one hundred thousand.\nAnswer: 12200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(161\/(-21) - -4). What is the units digit of ((-229)\/2)\/(6*g\/(-132))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 1, 4, 7, 10, 13?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 502 (base 6) to base 9.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 118294.\nAnswer: 828058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 - ((15 - 43) + 24)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s**2 + 6*s**2 + 8*s**2 - 64*s**2.\nAnswer: -63*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 208.43 and -3996.\nAnswer: -3787.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzkkssskmzsnjznsjznn. Give prob of sequence znjk.\nAnswer: 16\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30.85 - -34.3. Let j = -2.942 + t. What is j rounded to two decimal places?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 1 = 12*z + 21. Sort -18, 5, z, 0.\nAnswer: -18, z, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/28*((-20)\/(-10))\/(4\/(-8)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 - 3)*(2*q + 2 - 3*q - 6*q + (-3 + 3 + 1)*(2*q - 2*q + q)) as u*q + n and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, k: 7}. Give prob of sequence kk.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/((-20)\/(-45))*(1 - 2). Let k = -83\/9 - a. Which is smaller: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24133 (base 6) to base 2\nAnswer: 110110111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z\/z**0*z*z))**11)**(-2\/7)\/(z**(-6)*z**(-1)\/z*z**(1\/5)*z*z**2) assuming z is positive.\nAnswer: z**(278\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-150)\/55)\/10)\/(62\/(-682)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1, -469, -13, 2, 3, 0.04, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, r: 5, n: 8}. What is prob of sequence rrj?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6904.571 centuries in months?\nAnswer: 8285485.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 6*o - 1. Calculate j(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113323012003232 - 2?\nAnswer: -113323012003300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1821457\/7 or 260209?\nAnswer: 260209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 79775154 a multiple of 941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.11 + -0.89. Let r = 5\/9 + -11\/36. Let z be -1 - -2 - (-2)\/(-4). Which is the second smallest value? (a) r (b) z (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -20*z + 99. What is k(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**2\/2 + 15*i + 4. What is the units digit of y(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**5\/60 + q**4\/4 + q**3\/6 - 4*q**2. Give t(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229669*s**3 - 2 + 229673*s**3 + 2 + 22*s**2.\nAnswer: 4*s**3 + 22*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -311240?\nAnswer: 311231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1783077485 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z = -31 + 55 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 37841, 37844, 37847?\n\"Answer: 3*m + 37838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 7157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2 = -3*c - 11, -2*t - 8 = 0. What is the common denominator of c\/(21*-1)*-58 and 17\/11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w - 2 = -21*w. Let d(j) = j - 1. What is d(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-130))\/(210\/(-91))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 3:48 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20527643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -328 divided by 110151?\nAnswer: -328\/110151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2944*p**2 + 476*p - 476*p.\nAnswer: 2944*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 2315082\nAnswer: -1\/2315082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3\/k*k*k*k\/((k\/k**(-6))\/k))\/((k\/k**(-4))\/((k\/k**(-1)*k)\/k))*(k**(-1\/3)\/(k*(k*k\/k**(2\/11))\/k))**(2\/11) assuming k is positive.\nAnswer: k**(-1594\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + 63 - ((0 - -1) + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 8:05 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5\/t**16)\/((t\/(t*t**(12\/11)*t))\/t*t*t*t\/(((t*(t*(t*t\/t**(2\/7)*t)\/t)\/t)\/t)\/t)) assuming t is positive.\nAnswer: t**(-785\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdmm. What is prob of picking 2 m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2368368 to the power of 1\/2, to the nearest integer?\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 677*n = -680*n, 0 = 5*v - 4*n - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2799323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-5)\/2 + 21 + 20 + -45.\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p + 2. Let g(d) = -7*d - 316. Let k be g(-45). Let m(s) = -4*s + 7. Let n(j) = k*q(j) - m(j). Calculate n(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + r**2 - r - 4. Let g be x(0). Which is the closest to 0.2? (a) 5 (b) g (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4330 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15050 is divided by 182?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**8)\/(v*v*v**(-14)\/v))\/(v\/v**(-11))**(-1\/36) assuming v is positive.\nAnswer: v**(67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x = -2. Let i = -7 + 11. Let v be 4\/(-8) + 6\/i. Sort x, 5, v.\nAnswer: x, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -7*u**6\/24 - u**5\/10 - 3*u**4\/8 - u**3\/6 - 10*u**2. Is s(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-42)\/(-3 + (5 - 4)). Suppose -13*t = -r*t + 3968. Suppose 0*c = -4*c + t. Is c a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5568 divided by -3\nAnswer: -1856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200 = -91*i + 66*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + t. Let b(m) = 5*m**2 - 6*m - 19. Let k(s) = b(s) + 4*q(s). Let u be k(-6). Suppose -26*i - 42 = -u*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-1) - -2*(-10 - -235) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*h**2 + 10*h**2 - 1725*h - 2*h**2 - 2*h**2 - 1557*h**4 wrt h.\nAnswer: -18684*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 439.194cm?\nAnswer: 4.39194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 6*q**2 + 13*q + 32. Let s be w(8). Which is the third smallest value? (a) 1 (b) 2 (c) s (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009721 rounded to 4 dps?\nAnswer: 0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bh when two letters picked without replacement from hhrccchuuaabchu?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (54 - 54)*8\/(-16). Solve b = -29*n + 18*n + 11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 509 (base 10) to base 4\nAnswer: 13331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 123*z + 550. Give u(-6).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t + 2. Let b be -1*(-2 + 3)*2. What are the prime factors of k(b)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 90*d + 55. Let b be l(4). What is the highest common factor of b and 332?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(75) + 1 + sqrt(75))*-4 - (0 + sqrt(75) + 2))*6)**2.\nAnswer: 19440*sqrt(3) + 219996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.95213 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 15395.\nAnswer: -3\/15395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -3 - 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11\/2*o**3 + 9\/2*o + 1\/2*o**4 + 19\/2*o**2 + 0.\nAnswer: o*(o + 1)**2*(o + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 72 = -2*v, -2*v - 6*m = -m - 63. Is 29 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/((-1)\/2*1). Let u be (1\/(-2) + 2)*(3 - 1). Solve -2*p - 6 = u*o, 0*o - 3*o - k = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 496, 508, 530, 562, 604?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 866 + -6 - (13 + -17). Calculate the highest common divisor of s and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**3 + 0*u**3 - u**3 + (2 - 2 - 2*u)*(-5*u**2 + u**2 + 2*u**2) + u**2 + 3*u**3 - u**2 - 210 - 208 + 411 - 33*u**3.\nAnswer: -24*u**3 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c1 - -4?\nAnswer: -1bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.92 + -0.08. Let l = 4 + k. Let p = -2.99 - 0.01. Which is the nearest to 0.1? (a) l (b) -1\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 22641193.\nAnswer: 45282386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-9))\/(38\/(-228)*6\/1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5345992 from -0.5.\nAnswer: -5345992.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1019\nAnswer: -5\/1019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 742 + 125*j**3 - 1325*j**3 - 1180*j**3 wrt j.\nAnswer: -7140*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*n - 9 - 7, -3*n + 12 = 5*s. Let c be (1 - (1 - 0))\/(-2). Determine g so that c*g**2 + 2\/7*g**3 - 2\/7*g**4 + 0*g + s = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 46. What is j(-65)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilometer in meters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.015 to 1 decimal place.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*k - 124 + 42 = 0, -4*t + 4*k = -56. Suppose -2*p - p = -t. Suppose 0*v + 4 = v - 2*h, 3*v - 9 = 3*h. Solve s - p = 2*y, s + v*y + 1 = 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18383\/6 + 3042. Let r be (1\/(-9))\/((-11)\/(-69)). Let a = 212\/99 + r. Find the common denominator of a and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 3 + 2 = 0, -3*y = 3*d + 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 x when four letters picked without replacement from pbppxxpxppx.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1807759 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n = 36. Let f be 3\/n - 538\/6. What is the common denominator of f\/4*1\/4 and 71\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/12 and 8\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -700 + 700. Solve -2*b + 21 - 23 = g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k - 11. Let x(f) = f. Let l(c) = 2*x(c) - z(c). Let d be l(11). Suppose d = p - 72 + 19. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 192*t + 277 - 272 + 62*t. Let a be v(-1). Let k = 1660 + a. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -27\/514 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*w**3 - 503*w**3 + 168*w**3 + 174*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 15) to base 5\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -13, 5, -27 in decreasing order.\nAnswer: 5, 3, 0, -13, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**4\/12 + a**3\/3 - 5*a. Let i be 4\/(-18) - (-47)\/9. Suppose 5*p = -2*z + 2*p - 10, 3*p = i*z + 4. What is s(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + 4*(sqrt(19) + -1 + sqrt(19))**2 - (sqrt(57)\/sqrt(3) + 4 + -2*sqrt(19)*4)**2).\nAnswer: -635 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 702 by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*r = -59*r - 65. Solve 0*i = r*i + 8*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 515690 and 281218?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 1:56 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -208162 + 7909137\/38. Let l = -26253\/1007 - v. Find the common denominator of l and -25\/6.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -245076*b**3 + 16*b + 20813481?\nAnswer: -735228*b**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 8*r + 24. Is d(0) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, u: 2, y: 1, h: 1, l: 6}. Give prob of picking 4 l.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 72017?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 12*w**2 + w. Let t be s(-1). Does 5 divide t + (3\/1)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4016, 8029, 12042?\n\"Answer: 4013*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n**2 + 83 - 10*n**2 - 128. Let z be l(11). List the prime factors of (z\/(-39))\/((-2)\/(-6)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*t + 35*k - 31*k, -3*t = 3*k + 6. Let c(z) = -z**2 + 7*z - 2. Let g be c(6). Let h be (-14)\/33*g\/14. Which is smaller: t or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3171.991kg to nanograms.\nAnswer: 3171991000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8756763.\nAnswer: 3, 2918921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 - 110220?\nAnswer: -110102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -11 - 4 - 2) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85071079.\nAnswer: 1321, 64399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-4)*d**(2\/55) assuming d is positive.\nAnswer: d**(-218\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3*u - 15 = 0. Let r = -13 - -14. Suppose 16 = u*a + 4*p, -5*a - 2*p - r + 9 = 0. Solve -2*c + a*c = 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 298, -8.3, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -8*p**3 + 8*p**2 - 6*p + 24. Let w(n) = 15*n**3 - 15*n**2 + 11*n - 49. Calculate -11*u(m) - 6*w(m).\nAnswer: -2*m**3 + 2*m**2 + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*h*p**4 - h*p**2*w**3 - 671*h + 575*p**4*w**3 - 3*p**2*w**3 + 7*w wrt p.\nAnswer: 216*h*p + 13800*p*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 3, -68, 502 in ascending order.\nAnswer: -68, -4, 1, 3, 502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240 divided by -60.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229169.\nAnswer: 101, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*u - 17 = 7, -4*u = 4. What is the common denominator of (-15)\/(-5) - l\/(-24) and -57\/4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 2*p - 3*x = 32, 0 = 3*p - 3*x - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 259 and 1377?\nAnswer: 356643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -5. Let d be 5 + f\/(-1) + 0. Let o = -1 - 2. Put o, 0, d in ascending order.\nAnswer: o, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**2\/2 + 1. Let g(d) = -6*d + 4. Let i(w) = g(w) - 4*q(w). Let c(u) = 4 - 2 + 5 - 3*u. What is 6*c(y) - 10*i(y)?\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/7)*x*(x*(x*(x**(-6)*x)\/x)\/x)\/x*x*x**(4\/9)\/x*x*x\/x**(1\/4))**(5\/4) assuming x is positive.\nAnswer: x**(-4255\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 1) + -8 + 15\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13656, 54653, 122996, 218691, 341744, 492161?\n\"Answer: k**3 + 13667*k**2 - 11*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65110\/119 - ((-26)\/14 + 2)?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 61950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.01 and 14.0815.\nAnswer: 14.0715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3194 divided by 3\nAnswer: -3194\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1.4351*-6.45\nAnswer: 9.256395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 2. Let o be k(-6). Let g be (o + 0)*6\/(-8). Is (-27)\/(-2) + g\/(-6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 505*o**2*y**4 + 19*o**2 - 11*o*y**4 - 178*o - 3 with respect to y.\nAnswer: 2020*o**2*y**3 - 44*o*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3552*m + 38. What is the units digit of d(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(405) - sqrt(25)\/(sqrt(5)*-4))**2*-6.\nAnswer: -20535\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -635, -1052, -1487, -1952, -2459, -3020, -3647?\nAnswer: -4352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*r + 1103 = -1069 - 1728 for r.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 divided by 1?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -403*p**3 - 154*p**3 - 224*p**3 + 8*p + p - 17*p to the form n*p**3 + a*p + w + x*p**2 and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -3, -2*n + 255 - 276 = 5*w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 489209 to the power of 1\/2, to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k + 7914 - 64614 = -8700. Is k a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 12) to base 2\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26476 is divided by 458.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 w when four letters picked without replacement from {o: 7, w: 4}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 2 - 1\/150*p**5 + 1\/60*p**4 + 1\/2*p**2 + 0*p**3 + 0*p. Let u(l) be the second derivative of z(l). Factor u(r).\nAnswer: -2*r*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 109*h**2 + h + 2. Let c be f(-2). Let x(r) = -2*r**2 + 95*r + 647. Let s be x(-8). Let i = s + c. Does 39 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(450))**2 + (sqrt(2) - sqrt(288)*-1)) + 3.\nAnswer: 65*sqrt(2) + 2253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 8*a + 61. Calculate c(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 - 3*i + 3*i)*(22 - 11*i**2 - 22).\nAnswer: 33*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172480 is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(2*t**2 - 6*t**2 + 3*t**2) + (-3 + 2 - 1)*(2*t**2 + 0*t**2 + 0*t**2) + (-t**2 + 2*t - 2*t)*(-4 + 2 + 0) + t**2 + 3*t - 3*t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360071270 is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0259 + -0.023185. What is z rounded to 4 dps?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17981 is divided by 17967.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2267040 divided by -12?\nAnswer: 188920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 46*y**3 - 320*y**2 + 537*y + 14. Determine w(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r - 40 - 33 = -23*r + p - 3, -10*p = r - 14 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 6*p**2 + 6*p - 7. Let k be w(5). Let z(b) = -b**3 - 2*b + 1. Let o be z(1). Let a be 2*o - (-4)\/2. Is k smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -7\/5, -2, -19575\/17?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = 12*c - k, -2*k = -5*c + 136 - 107 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + (59 - 33) - (24 - -3 - -6)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270 and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 10824*m + 30. Calculate q(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 + 9*k + 28. Let y be f(-8). What is the highest common factor of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 + (-2 - -35) + (-18 - 25) + 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -138.8 rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -5*r - 3*y + 317, -3*r + 248 = -5*y. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 11. Suppose -w*k + 15 = 3*n, 4*n = -4*k + n + 15. Suppose 0 = -4*z, 4*a - 8 = -k*a + 3*z. Solve 3*b + 4 = a*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**2 + 14*b - 12. Let w be t(6). Solve w = 3*y + 4*d + 20, 2*d - 3*d - 5 = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -826 - -406. Let i = a - -420. Sort 5, -1, i, -2 in increasing order.\nAnswer: -2, -1, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**4 - 2*h**4 + 0*h**4)*(112 - 130 + 3660 + 1328).\nAnswer: -14910*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than or equal to -33.108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 15.07. Let s = p - -0.47. What is the nearest to -3 in 0.3, s, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3548?\nAnswer: 2, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 15*g = 9, -z + 4*g + 98 = 0. Suppose z*m = 77*m + 18. Suppose -4\/5*o**m + 0*o - 2\/5*o**4 + 0 - 4\/5*o**5 + 2*o**3 = 0. What is o?\nAnswer: -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2561*n**2 + 4*n**3 - 1087*n**2 - 498*n**2 - 6*n**3 + 1107*n**2 as h*n**2 + l*n**3 + o + j*n and give h.\nAnswer: -3039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176217261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 7*t**4\/24 + 121*t**3\/6 + 7*t**2 + 17*t. Let x be y(-17). Calculate the highest common divisor of x and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 1980342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.4866 microseconds in nanoseconds?\nAnswer: 44486.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.33 in 0.02, -0.7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 2*z - 4. Let q be u(3). Let t be -5 - -2 - q\/(-8). Which is smaller: t or 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c - 9*c + 5 + 14*c)*(-27*c**2 - 13*c**2 + 8*c**2)*(1 + 0 + 2) to a*c + r + v*c**2 + g*c**3 and give v.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -80, -94, -110, -128, -148, -170?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -228, -979, -2240, -4017, -6316, -9143, -12504, -16405?\n\"Answer: -m**3 - 249*m**2 + 3*m + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*i + 8434440 = 24*i. Round i to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 7. Let v be 15\/9*3*-1. Let c be a(v). Let j be (-2 - -2)\/c - -2. Solve -f - j*f - 15 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 + 3*k - 4*k + 2*k - 2 + (0 + 0 - k)*(2*k - k + 0*k).\nAnswer: -3*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.6, 0, -34, 1.3, -0.7 in increasing order.\nAnswer: -34, -0.7, 0, 1.3, 2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = 927 - 2373. Let a = 64 - l. What is the tens digit of a*6\/8*(-64)\/72?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 325 = -5*z + 3*u, -4*z + 4*u = -292. Suppose 6 + z = 5*t. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -2. Let o(a) = 1 + p + 8*a - 3 - 7. Suppose 6*y - 2*y + 5*u + 31 = 0, 4*y + 3*u + 25 = 0. Let j(v) = -3*v + 2. What is y*o(f) - 11*j(f)?\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 1162*z**2 - 2280*z + 2. Is i(-4) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 4 + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 7*p**2 - 11*p - 15. Calculate j(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13793, 13792, 13791, 13790?\n\"Answer: -h + 13794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -607*p**2 - 304104*p + 1470. Calculate f(-501).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 9, 16*s + 19 = 11*s - 3*z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*g**2 - 378*g*o - 36619*o wrt g.\nAnswer: 16*g - 378*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3034.67 + 35.33. What is the smallest value in 0, x, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -19299 (b) -17\/11 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101746, 814190, 2747968, 6513748, 12722198, 21983986, 34909780, 52110248?\nAnswer: 74196058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 - b**4 - b**3 + (-12*b - 2*b - 12*b)*(6*b**3 + 15*b**3 + 11*b**3) - b**4 + 2*b**4 - 3*b**4.\nAnswer: -835*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -43 in -4, 1\/36, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (12300\/(-101475))\/(0 - 7\/(-21))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d + 2. Let h be l(1). Suppose -20 = h*r - n, -r + 3*r = -3*n + 4. Let s(m) = -m**2 - 2*m - 4. Determine s(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1617)\/49*(4\/(-36) + (-4)\/18). What is the highest common divisor of d and 67?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 13*z**2 + 29*z + 67. Give h(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -321\/7309 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5122.\nAnswer: 2, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(11\/((-176)\/(-168))).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 746267 rounded to the nearest ten thousand?\nAnswer: 750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3\/5 - 686*y**2\/5 - 4869*y\/5 + 12474\/5 = 0 for y.\nAnswer: -9, 2, 693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 9 = -4*o - 3*b, 7 = 5*o + 4*b. Sort o, -3\/2, 1\/3 in decreasing order.\nAnswer: o, 1\/3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004007101 to five dps.\nAnswer: 0.00401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 2358\/599 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*3*4 + 1*sqrt(209)*-6)\/((3*sqrt(66)*1)\/((-1*sqrt(48))\/sqrt(8))))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2553 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 6*a**2 + 25*a + 99. Determine n(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 6:30 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170, -323, -472, -617?\nAnswer: -758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4759754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15 (b) -3 (c) 0.3 (d) 1 (e) 9355 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 16*b**2 + 5*b - 22. Calculate y(15).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -31*i + 3. Give v(4).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -5, 3\/5, 4, -1\/83 in ascending order.\nAnswer: -5, -1\/83, 0.4, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 - (1 + 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = 11*t + 15*t - 180. Let i be (1 + 14\/(-4))*-12. Is (-20)\/(-6)*((-114)\/i + t) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -274 + -3?\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 1500.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 584683 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60596256?\nAnswer: 2, 3, 7, 90173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 z when two letters picked without replacement from nyzynnnuuuyyuyy.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - -20. Let h = 45 - n. Let t = h - 17.9987. What is t rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14\/(-10))\/(3\/(-9885)). Suppose 8*o + 187 + l = 0. Let y = o + 1270. What is y rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100110 - 1?\nAnswer: 111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m + 4*m**2 - 7 + 0*m**2 + 7*m**3 + 9*m - m**2. Is p(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32915 + 52400. What are the prime factors of h?\nAnswer: 3, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 + 17319*k - 1046343. What is u(60)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9529368.\nAnswer: 2, 3, 397057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 2*o**2 - o**2 + (o + 0 + 0)*(-2*o - 2*o + 2*o) - 5 - o**2 + 5)*(-2 - 1 + 6).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33.2 - 28.3. Let r = i + -3.9. What is the second smallest value in -1, 35, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, -681\/13, 3\/2, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 507, 498, 473, 426, 351, 242, 93, -102?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*k**6 + 21*k**5 - 3*k**4 + 217*k**2 + k - 34.\nAnswer: -4440*k**3 + 1260*k**2 - 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*v + 2*v**4 - 8 - 48*v**2 + 14*v**2 + 30*v**2 wrt v?\nAnswer: 24*v**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**7\/30 - d**4\/24 + 2*d**2. What is the second derivative of i(c) wrt c?\nAnswer: 84*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 8*i + 23. Let g be s(10). Solve -b = g*z + 1, 0 = -2*b + 5*z - 1 - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -6.4. Let x = -3.4 + y. Round x to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4433 (base 6) in base 3?\nAnswer: -1102010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54*((-96)\/(-4))\/144.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -7\/2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/12*((-9)\/1 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -108 - -156. Let p(r) = -8*r + 14. Let w be p(-8). Suppose -w = -5*z - 3*i, -3*i - q = -3*z + z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*f - 974 = 0, -1985 = -5*q - 2*f + 435. Suppose 4*a - j = -617, 0 = 4*a - 3*j + 137 + q. Let u = 3852\/25 + a. Is 0 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*j**2 - 5*j**2 - j**2)*(1 + 7 - 1) - j**2 - 2*j**2 + 2*j**2 to the form y*j**2 + z + d*j and give y.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13181 is divided by 738?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = m - 8, -5*s + 10 = m + 4. Let z = -7 - m. Let q = z - -102. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -178364 by -3.\nAnswer: 178364\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-13)\/2)\/(28\/(-56)). Let h = -213 + 217. Solve -y + 5 = -h*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -105, 1, 39 in descending order.\nAnswer: 39, 2, 1, -2, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6*w - 23. Determine g(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(30)\/(-2*sqrt(6)).\nAnswer: -sqrt(5)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1260 and 158619580.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddnddddndd. What is prob of picking 2 d?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*i - 8 = 25*i. Solve -3*z - 15 - i = 2*s, s = -5*z - 19 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j - 36. Determine b(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 297a (base 14) in base 3?\nAnswer: 101002121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 729*b**2 - 3*b. Let u(x) = -2914*x**2 + 11*x. What is -15*q(c) - 4*u(c)?\nAnswer: 721*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 3, 2*u + 4*d = -u + 17. Differentiate u*v - 2*v - v - 2*v + 4 with respect to v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-24)*s**(-23)\/s)\/(s*s**(3\/7))**(1\/37) assuming s is positive.\nAnswer: s**(-12442\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1824463 greater than or equal to -1824485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*p - 318717 = 0, o + 3889*p - 3888*p - 63743 = 0. What is the thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 17*x + 8. Calculate the remainder when 21 is divided by t(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or 1466\/119?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17030 or -16860?\nAnswer: -16860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 366 divide 27370944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*u + 15*u - 27*u + 4)*(10*u - 4*u - 7*u) in the form l + p*u + s*u**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 e when four letters picked without replacement from blnneelgbenbnobnblbe?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + (sqrt(108) - (-1 + 3*sqrt(108))).\nAnswer: -6*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68858 and 137716.\nAnswer: 137716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/c**(1\/10))\/c**(-5))\/((c\/(c*c**(1\/8)))\/c*c*c**(-2\/7)\/c))**(-7) assuming c is positive.\nAnswer: c**(-2327\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 108 + -103. Suppose 4*f - a*y = 1431 + 6, 4*y - 354 = -f. List the prime factors of f.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 496 or 1484\/3?\nAnswer: 496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -5 + (-9)\/(288\/656).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 9. Let b be x(6). Let u be 1*b*(-48)\/18. Let p be ((-3)\/15)\/((-4)\/u). What is the nearest to -0.1 in p, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**8\/4 + 17*l**4\/12 + 19*l. What is the third derivative of h(w) wrt w?\nAnswer: 1680*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*w**2 + w**2 + 3*w - 3*w to t + c*w + j*w**2 and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2 = 4. Suppose -i - 15 = -w*i. Let r be 0 + (0 + -25)*8\/(-20). What is the highest common factor of r and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -860017, -860795, -861561, -862309, -863033, -863727, -864385?\nAnswer: -865001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10, -12, -22, -46, -90, -160?\n\"Answer: -v**3 + 2*v**2 - v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4457.1588 rounded to the nearest ten?\nAnswer: -4460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 369, 717, 1043, 1341, 1605, 1829, 2007, 2133?\n\"Answer: -n**3 - 5*n**2 + 370*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30296 and 17008.\nAnswer: 64409296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 + -37.5. Let t = f + 39.3. Let q = -1.299983 + t. Round q to 6 decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.16, -19\/4?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 459848 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2997158, -11988609, -26974344, -47954351, -74928618, -107897133, -146859884?\nAnswer: -191816859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*35\/25 + (12 - 1). Let p(r) be the first derivative of 2\/3*r**3 - 2*r + 1 + 3\/2*r**2 - 1\/4*r**w. Give p(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 977 is divided by 274.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + -434446?\nAnswer: -434436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 i when three letters picked without replacement from iibbii?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) -0.6 (c) 1114 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2023774 times 112\nAnswer: -226662688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-522)\/(-87)*24\/9?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8189 and -16.4?\nAnswer: 134299.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3\/s**3)\/((s*s\/((s*(s**7\/s)\/s)\/s))\/(s*s\/s**(-2\/11))) assuming s is positive.\nAnswer: s**(57\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 308615206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + -3. Is (s - -3) + (-1 - -1090) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -500 + 500.04. Which is the nearest to -11? (a) 2 (b) o (c) 0.4 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*j - j + 2*j**2 + 12*j**3 - 3*j**2 + 5*j to the form s*j**2 + t*j**3 + q + z*j and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-6 - (-8)\/20)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2, 5\/3, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-6\/5)*z)\/z**0)\/(z**(-3)*z*z**(2\/5)))**(-9\/7) assuming z is positive.\nAnswer: z**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/(-2))\/((-215)\/516). Which is smaller: 11 or n?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33? (a) -0.4 (b) -72\/7 (c) 323\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 523025*h**2*x**2 + 13*h**2 + 2*h*x**2 + 2*h*x - 6*h - 3*x**2 wrt h.\nAnswer: 1046050*x**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 21978552.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**3 - 3*j**2 - 6*j - 9. Let a be l(-2). Suppose -2*v - 545 = -a*v - 5*z, 15 = -3*z. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-1) - 121\/99. Which is the nearest to k? (a) 3 (b) 5\/3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/35*6\/(-3)*155\/124\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/6*(-69)\/(-230)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*i = 3*n + 1, 7 = 2*i - 3*n. Suppose 0 = i*p + p. Suppose p = -4*x - 3*q - 3 + 72, -24 = -2*x + 2*q. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -110*m**4*x**2 - 1630*m**4*x + m**2 + 11050*x**2 + x - 2 wrt m?\nAnswer: -2640*m*x**2 - 39120*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3568 in 0, 0.9, -3\/2, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 + p. What is a(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -66 + 101. Let b = 27 - 25. Let m(f) = b - 223*f + 226*f + 2. Give m(o).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -8*t**2 + 2*t - 2. Let n be r(-5). Let x = n + 1906\/9. Do x and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -879 + 850 - (-34 - 0) - (1 + 0 + -40).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -426766140 by -15429.\nAnswer: 27660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64767920?\nAnswer: 2, 5, 7, 115657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4657?\nAnswer: 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -7576.352 to the nearest 100.\nAnswer: -7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 323 - 44. Let y = -283 + c. Let x = -9 - -8.97. What is the biggest value in x, 3, y, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k**2 - k - 82*k + 11*k**2.\nAnswer: 30*k**2 - 83*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 503867939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3329*r**4 - r**2 + 1981*r.\nAnswer: 39948*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 42, -2\/11, 5\/6, 1, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-87)\/(-2))\/(-87)*52\/((-6)\/(-3))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96091172 and 412.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 184 = -10*n. Suppose -n = -3*m - 5*s, -28 = -5*m + 4*s - 2. Solve 4*y - y = -m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.36 - 0.04. Let c = 32\/259 - -6\/37. What is the third biggest value in w, -3, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 100779 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 1) + (-13 + (-17 - -10) - -26).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1300) - (sqrt(1300)*2 - sqrt(1300))))**2 - (3 + sqrt(52)\/sqrt(64)).\nAnswer: -sqrt(13)\/4 + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from {n: 2, c: 5, q: 3, g: 1, v: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001010101000001111 - -101101?\nAnswer: -100001010100111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*w + 214*w - 2825 - 1292 = 0 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*i - 1 - 4 + 8)*(-3 + 3 + 2).\nAnswer: -34*i + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 660\/(-1650) - ((-21)\/15 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 115 - 25. Calculate the remainder when (-18)\/117 + (-1419)\/(-13) is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + 4*sqrt(77)*-6)*-3)\/(-3*(sqrt(7) - sqrt(21)\/(sqrt(3) - sqrt(12)))).\nAnswer: -23*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - s - 95*s**2 - 4 + 91*s**2)*(4 - 1 - 1) as p*s + f + r*s**2 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4 - 8. Suppose c - d = 3. Suppose -p + c*p = 60. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a**2 - 2. Let h be l(2). Let y = h - 13. Is -1 - (-3)\/(y\/39) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 939*x - 941*x + 26 = 0. Suppose 0 = -5*l + 65 - 30. What is the least common multiple of x and l?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 1363*u**7\/210 - 2389*u**3\/6 - 32*u**2 + 36*u. Differentiate o(w) wrt w.\nAnswer: 5452*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -279388 - -422380. Let z = 444793 - 1167785. Let b = z + w. Round b to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7*h = 45. Let s(j) be the second derivative of j**5\/20 - j**4\/3 - j**3\/6 + 5*j**2\/2 - 2*j. Calculate the remainder when s(5) is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - 1066*a + 1066*a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -310*g - 73. Let s be f(-2). Let r = s + -503. Calculate the highest common divisor of 33 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 0 + 0*s + 13\/6*s**3 + 0*s**4 + 0*s**5 + 0*s**6 - 17*s**2 + 16\/105*s**7. Find the first derivative of d(o) wrt o.\nAnswer: 128*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -15. Suppose -o + w = 6. Does 7 divide (o - 5) + 3 - -40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 1. Let x(v) = 18*v + 11. Suppose -7 - 5 = -4*h. Suppose -t - h*t = -24. Let j(a) = t*r(a) + x(a). Differentiate j(w) wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/72615 and -49\/5.\nAnswer: 72615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20 - -22)\/(1\/2). Let y be w\/(-6*5\/(-15)). Solve -4*q = -2*b + 20, -y*b - b = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nainnosnon. Give prob of sequence naio.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 3*c**2 + 4*c + 8. Let i = -185 + 188. Is p(i) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6 = 0, -5*i = -3*x - x + 57. Let z = -19 - x. Let o = z + 65. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -509, -1181, -1853, -2525?\nAnswer: -3197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**2\/4 - 10179*h\/2 - 34537347\/4 = 0.\nAnswer: -3393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 29. Let k be (1\/f)\/(12\/(-20)). Let n = -0.2 + 0.7. Put k, 4, n in ascending order.\nAnswer: k, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4263*b - 180 = 4308*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 13 - 10)*(12*w**3 - 2*w**2 - 13*w**3 + w**2).\nAnswer: -15*w**3 - 15*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - u**2 + 7*u + 5. Calculate the remainder when ((-14)\/(-1))\/(4*(-8)\/(-336)) is divided by y(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -103149\/23 > -4485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tr when two letters picked without replacement from ratotxb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83 - -80. Let m(v) = -v**2 - 5*v - 4. Let c be m(g). Find the first derivative of -28*q**4 - c - 11 + 24 wrt q.\nAnswer: -112*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -429*f**3 - 256*f**3 - 216*f**3.\nAnswer: -901*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1085359?\nAnswer: 11, 98669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2774 or 2767?\nAnswer: 2774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 8) to base 14\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**7\/105 + y**6\/25 + 3*y**5\/50 + y**4\/30 - y. Factor w(t).\nAnswer: 2*t**2*(t + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 93916580 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - 235\/(-60)*1. Which is the smallest value? (a) 5 (b) n (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -2 + 104\/(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -15545\/2 and -7774 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*g - 4 + 13 - 77*g.\nAnswer: g + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-109*(-11)\/44)\/((-1)\/(-1124)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 6*h - 4. Let y = -15 - -19. Let c be s(y). Let r be ((-4)\/c*3)\/((-2)\/12). Solve -2*u - r = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4496900773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4 + 0 - 3*p + 1.\nAnswer: -3*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6474210?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**3 + 22*d**2 - 23*d = 0.\nAnswer: -23, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 0*n**3 - 3\/80*n**6 + 0 + 1\/140*n**7 - 1\/16*n**4 - 2*n**2 + 3\/40*n**5 + 0*n. Factor p(k).\nAnswer: 3*k*(k - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 12) in base 14?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -5. Suppose 0 = -j*u - 3*u + 6. Solve 5*o = -s + u*s - 15, -2*s = 5*o + 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19460, 21694, 25422, 30638, 37336, 45510, 55154, 66262?\nAnswer: 78828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 655, 417, 179?\n\"Answer: -238*z + 893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v\/(v*v**(2\/5))))**(1\/8))**23 assuming v is positive.\nAnswer: v**(23\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3*r**3 - 12654781*r + 12654781*r + 0.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 41084 and -0.4.\nAnswer: 41083.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15 - 9*p**2 + 20*p**2 + 86*p - 13*p**2 wrt p?\nAnswer: -4*p + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7448, 7334, 7220?\n\"Answer: -114*u + 7562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659702 is divided by 113.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(32) - 4*(sqrt(30) - (sqrt(120) - sqrt(30))))\/(-2*sqrt(810)*-1))**2 + -4.\nAnswer: -6911\/1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/((b**(-3\/4)\/b)\/b))*b)\/b**(-1\/3)*b**(-1\/7)\/b*(b\/b**(3\/2))\/b assuming b is positive.\nAnswer: b**(-341\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002103 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 0*s + 2*s**3 + 2*s + 10*s - 2*s - 9. Let n(x) = 3*x**3 + x**2 + 18*x - 19. Let a(r) = -3*n(r) + 5*o(r). Solve a(b) = 0 for b.\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9531331 from 21.7.\nAnswer: -9531309.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3629 is divided by 2827.\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2459 + -2393. Calculate the remainder when b is divided by 23\/(-1 - (0 + -2)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 7. Suppose -q - f = -0. Let s = 20 - q. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**2 + 5*o + 5. Let j(t) = 7*t**2 + 9*t + 9. Determine -5*i(p) + 3*j(p).\nAnswer: p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(52) + -5.\nAnswer: -8 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 588 = 4*z, 4*n - 4*z - 548 = 1704. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 6*g - 5. Suppose -u = -0*u - 2. Suppose -2*m + 4*t = -t - 12, u*m = t - 4. Calculate v(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 - 25) + 10 + -4 + -9 + (-3 - 77)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 346012, 1383910, 3113740, 5535502, 8649196?\nAnswer: 12454822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 242 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i + 10. Let n be v(15). Let q = 24 + n. What is the units digit of 1*(q\/1 + 29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 0) + 6\/3. Suppose 3*j = j + 2. Let y be -6 - (2 - c - j). Let r(i) = i**3 + 7*i**2 + 5*i - 5. Calculate r(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33236 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 786 * 3.3\nAnswer: 2593.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p - 4*t = 30, 3*t - 12 = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11.95 (b) 5 (c) 4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 17*b**2 + 115*b - 23. Let s be y(-7). Solve s*o = -4*v - 24, 2*o = v - 17 + 10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 87 = 4*j, -u - 21 = -j - 0*j. Calculate the highest common factor of 88 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418563267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 3*l - 4*m - 4, 4 = 2*l - 4*m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-8) - ((-408)\/(-5 - 7))\/(-8). Solve 28 = 4*r + 29*n - 27*n, u*n = 16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 10. Suppose -2*d = -4*x + 12, s*x - d - 10 + 3 = 0. Solve 3*q + 3*n + 17 = -x, n + 8 = -2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 - 41*v**2 - 2*v**3 + 3*v**3 - 11*v**2.\nAnswer: 2*v**3 - 52*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-12485.\nAnswer: 2497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*o + 17. Let z be ((-1)\/o)\/((-8)\/16). What is the closest to z in 0.08, -2\/11, 2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 5:19 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1723045 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*x - 160*x + 704*x**2.\nAnswer: 704*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**9*h\/(h\/(h*h**5)))\/(h**(3\/2)\/(h**(-2\/11)*h)) assuming h is positive.\nAnswer: h**(315\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 - -40.5. What is the nearest to 2\/5 in 9, 0.4, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 203282, -35.\nAnswer: -35, -1, 203282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 85 + -80. Suppose -c*z + v = -1598, 5*z = 3*z + 2*v + 636. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 135 (c) -1\/8 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 65*y**2 - 59*y - 47. Let n(o) = -22*o**2 + 22*o + 15. Give -3*i(w) - 8*n(w).\nAnswer: -19*w**2 + w + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzlljzljjzzlzjzllzz. Give prob of sequence jzj.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2334 + -60043?\nAnswer: -55507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 198, -4.\nAnswer: -4, 5, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*1\/(-15))\/(2\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3087)*-3)\/(sqrt(162)\/sqrt(2)).\nAnswer: -7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/27 + 214\/10272\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 57\/8, 47, -2.329 in increasing order.\nAnswer: -2.329, 57\/8, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -348, -642, -936, -1230, -1524?\nAnswer: -1818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**2 - 12*y - 2. Suppose 221*v + 116 = 192*v. Give x(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05 + -0.15. Let j = -0.8 + n. Let o = 3.5 - 3.8. Sort o, j, 2\/5 in decreasing order.\nAnswer: 2\/5, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 + 0.1. Let r = b + -0.6. What is the nearest to r in -2\/5, 1\/10, 2\/21?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**4\/8 + 2493*l**3\/8 + 250701*l**2\/4 - 1722393*l\/2 + 1469193 = 0. What is l?\nAnswer: -422, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.17 - -0.17. Let n = z - -2. What is the nearest to n in -2\/3, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603523 is divided by 268?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 485*l - 485*l - 235*l**3 + (2 - 1 + 0)*(-2*l**2 + 2*l**2 - l**3) + 3*l**3 - 4*l**3 - l**3.\nAnswer: -238*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 4*h = -17*o + 180, 189 = 4*o - 5*h. What is the greatest common divisor of 3220 and o?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -327109*d**5*k**2 - 36*d*k**2 + 94*d - 3*k**2 - 1 wrt d.\nAnswer: -6542180*d**3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60dec0 (base 16) in base 8?\nAnswer: 30157300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, 0.1, -9 in decreasing order.\nAnswer: 7, 1, 0.1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 6 = -5*d + 4, -4*t + 3*d - 10 = 0. What is the units digit of (10\/t)\/((-2)\/36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1635737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -2320?\nAnswer: -2311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t - 1. Let u be n(-5). Let o = u + -11. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s\/((s*(s**8\/s)\/s*s*s)\/s))*s**23 assuming s is positive.\nAnswer: s**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.229418523 rounded to three dps?\nAnswer: 1.229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - ((-1)\/3 - (-24)\/(-9)). Let r be t - (-29 + (8 - 4)). Solve 2*c + 3 = w, r = -w - 3*c + 9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 363 and 330?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + (-56)\/(98\/7). Sort -1, q, 4 in ascending order.\nAnswer: -1, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 + 122. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 3*w - 80. Let q be 21 - (-1 - (-2 + 0)). Calculate the highest common factor of w and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129200 = -2717*d - 58039 + 29802 + 78359 for d.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40442 (base 5) to base 15.\nAnswer: -b9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/60 and -11\/29246016.\nAnswer: 146230080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 349204\/143 - 2442. Let t = y + 304\/1287. Put -5, -3, t in ascending order.\nAnswer: -5, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -7. Sort 3, 4, d.\nAnswer: 3, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*27\/(-36)*1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 8*p + 4. Let m be g(8). Suppose 0 = m*o - 5*v - 11234, 3*o + v + 974 = 9409. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 589*u**2 + 39465*u + 79. Determine k(-67).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.04 - -0.04. Let v = m + 7. Which is the nearest to 2? (a) v (b) 3\/7 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 2*o + 10. Let k be m(0). Solve 5*r + 5 = -k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 12:29 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 5 = f - 3, -f - 2 = -3*y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-66))\/(-3*(-14)\/(-56))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*v + v + 152, 2*v = -2*g + 96. Let a be (-1)\/(-5) - (-190)\/v. Solve 4 + 9 = -3*x - o, 3*x - a*o = -23 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3 + 5 = 0. Let o be (-6 - -8) + 2 + g. Suppose 3*c = o*j + 3832, 2*j = -3*c + 2*c + 1288. What is c rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**3\/15 - 122912*f**2\/15 - 696674*f\/5 - 245892 = 0 for f.\nAnswer: -15, -2, 61473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38420 and 164492?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2. Let z(f) = -2892465*f**2. Give n(z(w)).\nAnswer: 16732707552450*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -240, -284, -318, -336, -332, -300, -234, -128?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3b (base 12) to base 14\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -27*g**3 + g**2 - 2*g - 2. Let y be p(-2). Let u be y\/18 + -6 - 4\/(-6). Which is greater: 8 or u?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 9:05 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0627599 take away -0.1?\nAnswer: -0.9627599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (6\/6)\/((-3)\/((-12)\/(-4)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (263*x - 435*x + 325*x)*(3*x**3 - 3*x**3 + 15*x**4) + (1 - 1 - 2*x**2)*(-4*x**3 + 2*x**3 + 0*x**3).\nAnswer: 2299*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + sqrt(612) + sqrt(612) + 5 + sqrt(612)*-2)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -1\/5, -25\/3, -173\/3, -107?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6593353 and 116?\nAnswer: 26373412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 8:01 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -1. Suppose -12 = -3*j + 3*l, -2*j + 6*j - l = 1. Let w(y) = -2*y**2 + 1. Let u(s) = j*w(s) - b(s). What is u(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*l = 15. Suppose 2*i - 4*k + 14 = 0, 7 + 2 = -3*i + l*k. Suppose 184 = 5*r - i. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 467255.\nAnswer: 5, 113, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -1285389*k**2 - 2267*k - 2267. Let f(o) = 2267*o**2 + 4*o + 4. Calculate 2267*f(g) + 4*z(g).\nAnswer: -2267*g**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**4 - 2*l**3 - 3*l - 522*l**2 + 1006*l**2 - 511*l**2 + l + 2 to the form k*l**3 + v + r*l**2 + a*l + f*l**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.6623 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*n - 16 = 95, 465 = 4*f - n. Suppose 5*b - 5*a = 285, 2*b - a = -0*b + f. Is 15 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 - n**3 - n**3 + (n**2 + 4*n**2 - n**2)*(-3*n - n + 3*n) - n**3 - 2*n**3 + 2*n**3.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 147704160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -3, -4, 1361, 3, 0 in decreasing order.\nAnswer: 1361, 5, 4, 3, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5232054659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - i**2 - i - 1. Let s(l) = 7*l**3 - 5*l**2 + 3*l - 5. Let g(f) = -5*o(f) + s(f). What is the second derivative of g(a) wrt a?\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 u, and 1 r when four letters picked without replacement from {r: 3, n: 2, g: 1, y: 5, u: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -216 - -394. What is the remainder when n is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3930 - 3926. Solve 3*o - 6 = 3*z, -2*o - 29*z + m = -34*z for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/2418 and -62\/45.\nAnswer: 36270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1515)\/(-21) + 2\/(-14). Suppose 4*c - 67 + 243 = 0. Let s = b + c. What is the remainder when 54 is divided by s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37044\/13, -5, -3\/7 in ascending order.\nAnswer: -37044\/13, -5, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -9140.\nAnswer: -45700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nne when three letters picked without replacement from {n: 7, u: 4, e: 5}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 4*x - 10, -4*x + 26 = -2*c + 5*c. Suppose 0 = -3*t - 8 + c. Let o(g) be the second derivative of -g**4\/6 - g**3\/6 - 6*g. Determine o(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2*h**3 - 889*h - 2819*h + 2*h**2 - 3432*h.\nAnswer: -2*h**3 + 2*h**2 - 7140*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -5650000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 4 - 4)*(-4*c + 5*c - 3*c) - 5 + 3*c**2 + 5 + c**2 + 2*c**2 - c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.6 + 2.1. Let o = 5 + t. Suppose 5*p = l - 8, 0 = -5*p + 4*l - 2*l - 11. What is the closest to -0.1 in o, p, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 i when four letters picked without replacement from uuuiuuuuuiuuuuuuuuu?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.945 + -5.545. What is the second smallest value in 2, t, 0.03, 1, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**(-33)\/(c\/(c\/c**(-10)*c)*c**(1\/7)))**(-16) assuming c is positive.\nAnswer: c**(-4912\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 32.6036192204+-5\nAnswer: 27.6036192204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 - 52 = -24*f. Let w be 3*(-8)\/6 + 18. Solve -2*n = -2*z + 4*z - w, -2*n + 5*z - f = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 503487?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*v - 70*v**3 + 68*v.\nAnswer: -70*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30*(-53)\/1590)\/(((-48)\/(-606))\/(-8))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28466498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 12, e: 4, p: 4}. What is prob of picking 1 p and 2 m?\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5020 = 12*b - 137*b + 13*b - 139*b for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**3\/3 + d**2\/2 + 72000*d - 3. Let v be z(0). Round v to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - -27 - (-2 + 11 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -254 and 1633 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 37882.7 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.05 + 0.35. Suppose 57 + 23 = -16*i. Which is the third smallest value? (a) -2 (b) i (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13\/5 (b) -2\/11 (c) -6\/7 (d) -136.7 (e) 2.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2213089 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - n + 6. Let g be (-114)\/(-8) - (-3)\/(-12). Let x be g\/(-56) + (-2)\/(-8). Determine j(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/15)\/((-8)\/20). Let d(p) = 3*p - 2. Let y be d(w). Solve 3*i - 3 = -4*u + u, 4*u = -i + y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 c when two letters picked without replacement from {b: 2, c: 2, z: 4, q: 1, j: 1}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 17*m**2 + 55*m + 103. Let p be j(20). Solve -3*y - h = 2*h, y = 2*h - p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -277 - -399. Calculate the remainder when t is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.05 + -12. Let w = d - 0.049997. Round w to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 + 2*z**3 + 0*z**3 + (-4*z**3 + 2*z**3 + 4*z**3)*(1 + 1 - 3))*((4 - 1 - 2)*(-3*z + 0*z + 4*z) + z - 2*z + 4*z).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4648515.\nAnswer: 3, 5, 43, 7207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (0 - 2) + -75)\/(-7282 - -7281).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 23*n**2. Let l(a) be the third derivative of a**6\/720 - a**4\/24 + 7*a**3\/6 - 26*a**2. Let f(h) be the second derivative of l(h). Determine f(g(j)).\nAnswer: 23*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 108032310 rounded to the nearest one hundred thousand?\nAnswer: 108000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 60088 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -18729000 to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -258 less than or equal to -25807\/100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 806820 and 15?\nAnswer: 806820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 7*h + 26. Let o(s) = s**3 + 8*s**2 + 7*s + 3. Let c be o(-7). Solve -5*n - 8 = 2*l, -2 = -h*l + c for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3998971 is divided by 278?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.4 + -2.6. Let l = 3.9 + r. Let b = -0.09 - l. Round b to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**4 - y**2 + 1. Let j(d) = 64*d**4 + 2*d**3 + 1073*d**2 - 4. Let p(s) = -j(s) - 4*o(s). What is the third derivative of p(c) wrt c?\nAnswer: -1344*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 335.6983 centuries?\nAnswer: 33569.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65)\/(-39) + 10\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -1, -2\/13, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 32*k - 34*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1628, 2392, 2276, 1280, -596?\n\"Answer: -440*l**2 + 2084*l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23846, 47696, 71546, 95396, 119246, 143096?\nAnswer: 166946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2660061.\nAnswer: 3, 547, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69305 and 2490.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15702657, 15702638, 15702619, 15702600?\n\"Answer: -19*o + 15702676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 9075 + 4539 + 4536.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 136*p. Let b(v) be the first derivative of v**3\/3 + 261. Determine b(u(m)).\nAnswer: 18496*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -586101*r = -586136*r + 35 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1956 divided by 4.\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1887375 to the nearest integer?\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6257.6 rounded to the nearest 10?\nAnswer: -6260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**2 + 5140*f + 55935 = 0. What is f?\nAnswer: -1017, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -5, 0.4, 2, -134?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 407 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.253 + -0.542. What is j rounded to 2 dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 13*h + 3. Let c be y(21). What is the common denominator of -109\/30 and ((-185)\/c)\/(32\/4)?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/(-20))\/(((-32)\/6)\/(21\/63))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1126)\/(-5) + 17\/(-85). Suppose -5*x = -f - 60. List the prime factors of x.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from taawtaxawwxa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31030 + 31034. Let f = -4 - -1. What is the nearest to -1 in 30, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -23214102440?\nAnswer: 23214102433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1811\/9 + 201. What is the nearest to 0.06 in 4, 0.3, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -521 (b) -0.5 (c) -6 (d) 1\/4 (e) -0.6 (f) 3\/10 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -2\/15 (c) -10483\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1500 - 1493. Solve 0 = 3*a - 2*b + h + 3, 5*b = 5*a + 15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 817656180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -11*u - 718. Let l be r(-66). Let n(a) be the second derivative of l*a + 0 + 3\/40*a**5 + 1\/9*a**3 + 0*a**2 - 1\/6*a**4. Suppose n(z) = 0. What is z?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -17 + -27*(-43526)\/55944.\nAnswer: 1\/148","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3410\/(-275))\/(-1 + 2). Which is the fourth smallest value? (a) j (b) -0.4 (c) -0.7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 29\/4, 4, -85, -0.5, -3, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.4922569 to 2 decimal places.\nAnswer: -27.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - b + 15. Let k be r(0). Suppose -3*w - 5*g + 60 = 0, -37 = -2*w - 2*g - 1. What is the greatest common divisor of k and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 12 = -m. Suppose 2*q - 44 = -2*b, -3*b + m*b - 62 = q. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 84?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/6 and 4 - (-7 - (-4010)\/380)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21237704 to the power of 1\/4, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/52 in 3, 0.5, -5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2062, -2051, -2040, -2029?\nAnswer: -2018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000170032643 to 7 dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (56\/(-6))\/(((-8)\/(-9))\/((-184)\/276)). Solve -4*i = 5*c + 2, -3*i - 12 = 2*c - k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 - 9 = 6*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a minute in milliseconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/16 of a centimeter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1457467*p**3 + 3865703 with respect to p.\nAnswer: 4372401*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 - (-108)\/(-16) - 58035\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 13*a**8\/336 + a**4\/2 + 6*a**2. What is the second derivative of v(s) wrt s?\nAnswer: 260*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -18*s**3 - 12*s**2 - 7*s + 12. What are the prime factors of b(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9418444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 45*k**2 - 1530*k - 7. Let n be y(34). Let a(z) be the third derivative of z**6\/120 + 7*z**5\/60 + z**4\/12 + z**3 + z**2. Calculate a(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -25*u**3 + 2*u + 4. Suppose 3*t + 297 = -2*l + 307, 4*l = -5*t + 16. Let v(p) = 26*p**3 - 2*p - 5. Determine t*v(s) + 5*n(s).\nAnswer: -21*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2. Let n = 57 - 31. Let f = n + 3. Let d(g) = -29 + f - 2*g**2 - 2*g**2. Determine d(r(y)).\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84873 by -252.\nAnswer: -28291\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 27 = -2*g - 5*v, 2*g - 23 = -5*v. Suppose g*r = r - 9, 63 = 5*j - r. Solve -3*c - j = -7*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + 2. Let o = y - -11. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 17*g - 65. Give o(-17).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibbbamiaanha. What is prob of picking 1 i, 1 b, 1 m, and 1 h?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/10? (a) -4 (b) 4 (c) 0.3 (d) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 695252641?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 14. What is the common denominator of -56\/5 and (57\/(-266))\/(1\/j)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131913360 divided by 8244585\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f + 3. Let y(a) = 81*a + 2. Let o(h) = 47*h + 1. Let g(w) = 12*o(w) - 7*y(w). Calculate -6*g(n) - 5*q(n).\nAnswer: 3*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 800894, 1601577, 2402260?\n\"Answer: 800683*y + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1399421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -35909.3 and -28.\nAnswer: 1005460.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50457 and 1017.\nAnswer: 17104923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2338953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 23*w**2 + 4. Let k be l(-2). Suppose 6*n = k + 798. Calculate the remainder when n is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 19*v**2 - v - 21. Let c be f(-19). Let l(h) = -9*h - 3. Let k be l(c). Suppose k*g = 11*g - 12. Put -5, g, 5 in decreasing order.\nAnswer: 5, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/2*31\/(-31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.7 times -305?\nAnswer: -4483.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0037703712 rounded to four dps?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*t = 266 + 739, 10 = -2*t. Suppose 5*f - 704 = -h. Calculate the highest common divisor of 20 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -1)*(2 + -1) - 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4*y + 0*y + 2*y)*(-48 + 68 + 103) + 2 - 2*y - 2)*(-2*y + 2*y + 2*y) to t*y + v*y**2 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -320 + 308 + -7 + 0 + 64.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -410.28512 and 0.09?\nAnswer: -36.9256608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4123074.\nAnswer: 2, 3, 687179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -174*a**3 + 74*a - 66. Let w(r) = -43*r**3 + 19*r - 17. Give -23*w(l) + 6*y(l).\nAnswer: -55*l**3 + 7*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2010.8 minus -380?\nAnswer: -1630.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g. Let o(j) = 56*j - 31*j + 3 - 29*j. What is f(o(n))?\nAnswer: 8*n - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40.31009 - 106.68259. Let s = h + 147. What is s rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.4 + 0.3. Let j = 1.09999905 + u. What is j rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 830 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-12) - 6*(1 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50186718?\nAnswer: 2, 3, 1171, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**11\/18480 - w**7\/630 - w**4\/4 + 4*w. Let z(x) be the third derivative of b(x). Find the third derivative of z(r) wrt r.\nAnswer: -360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3089 + -3149. What is the second smallest value in -1\/3, y, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wdwkkd. What is prob of picking 1 w, 1 d, and 1 k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*x = 1351, 3*p - 5*x + 121 - 952 = 0. Suppose 4*u = 5*w - 0*u - 692, -p = -2*w + 4*u. Suppose 4*n = 120 + w. Does 28 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -112553\/9 - -12507. Suppose 26\/9*k + 4\/3 - h*k**2 = 0. What is k?\nAnswer: -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwkp when four letters picked without replacement from {r: 2, w: 3, c: 1, e: 2, k: 3, p: 4}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 - -149. Let z(n) = -9*n + 91. Let g be z(9). Let a be 5*(g - (-17 + 5)\/(-4)). Calculate the greatest common factor of a and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -10*d - 3. Let q be l(0). Does 3 divide (-594)\/(-55)*(-10)\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3480480649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 704\/7, -0.5, -4, -2\/11, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 28, -2\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 181234 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/37213 and 43\/26.\nAnswer: 967538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13145022?\nAnswer: 2, 3, 11, 197, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c. Let u(f) = -5*f - 78. What is u(q(l))?\nAnswer: -25*l - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*l + 3*p - 30, 3*p + 19 = 4*l. Suppose l*b - b = 72. Are b and 12 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 3773562, 7547158, 11320754, 15094350, 18867946, 22641542?\nAnswer: 26415138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -n - 368 - 245, m = -n + 119. Suppose 0 = -33*g + m + 10. Solve -5 = -5*i + 5*s, 6*i = g*i - 4*s + 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0314 + 0.0314. Which is the third smallest value? (a) k (b) 3\/8 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 753.8396 decades in centuries?\nAnswer: 75.38396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 476 and 896?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 6 + 12. Let i(f) be the third derivative of 0*f**5 + 1\/12*f**4 + 0*f + 1\/60*f**6 + 0 + 0*f**k + 2*f**2. Find the second derivative of i(p) wrt p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 108, -2, -112, 2, -14 in decreasing order.\nAnswer: 108, 2, -2, -3, -14, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(3\/13)*o*o*o)\/((o\/(o\/(o**(-2\/85)*o))*o)\/o) assuming o is positive.\nAnswer: o**(3086\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(209)\/sqrt(275) - sqrt(19)).\nAnswer: -4*sqrt(19)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -622+-846395783\nAnswer: -846396405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4508 divided by 196?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 0*a**5 + 0*a**4 - 7\/3*a**3 + a**6 + 0*a + 0*a**2 - 8. What is the third derivative of o(m) wrt m?\nAnswer: 360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 3*w + 8. Let d be i(4). Suppose 4*r - d*p = 14 + 6, -3*p = 5*r - 41. Find the second derivative of -2*n + 4*n**5 - 2*n + 0*n**5 + r*n wrt n.\nAnswer: 80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - p**4 - 20*p**4 - 2*p**4 + (-2*p + 2*p + p**3)*(4*p - p - p).\nAnswer: -21*p**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6986 + 6887. Let c be (-15)\/25 + -1 + 2. Which is greater: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**11)\/(q*q\/(q**(-5)\/q)))\/(q*q**(-1\/25)\/q*q*q)**(-1\/13))**14 assuming q is positive.\nAnswer: q**(-81214\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5068560407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 799.2 + -799.209. Which is the nearest to -1\/4? (a) -3\/5 (b) s (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 1 - 3 - 2*h + 0. Let a be (5 - (-50)\/(-5)) + 5 + -2. Let c be b(a). Solve -7 = -c*f - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 62617, 62597, 62567, 62527, 62477, 62417, 62347?\n\"Answer: -5*u**2 - 5*u + 62627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 12*u + 90. Is 14 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104633530, 104633534, 104633538?\nAnswer: 104633542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -4*n + 14, -5*c + 1 = 6*c - 12*c for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - -12 - (3 + -5 + 11)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*r - 2, -2*r - 3*r + 10 = 0. Sort -2, 30, x in ascending order.\nAnswer: -2, x, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 1228.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1571.\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.98 - 5.98. What is the nearest to -2\/7 in j, 3, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 2:33 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 20 = 32*k. What is the nearest to k in 1\/3, 3, 19?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17 - 1653?\nAnswer: -1670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/105 and 32\/165?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.067897*-4\nAnswer: 0.271588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -472283 divided by -26.\nAnswer: 472283\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9945 - -9945.00012078. Round x to 6 dps.\nAnswer: 0.000121","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*i - 11 + 4 = 0, 3*i = 2*f + 9. Suppose -f*o + 60 = 2*o. Let r be -10*(3 - o\/3). Solve n - r = -4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*j + 4*j. Let i = j + 4. Let a(p) = -2*p - 3. Let y be a(i). Solve 25 = -5*c - 5*d, 7*c = y*c + 4*d + 12 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17508 (base 10) in base 15?\nAnswer: -52c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9167663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h**2. Let z(b) = -22468599*b. Give z(o(j)).\nAnswer: 89874396*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -20*v**3 - 2. Let a(n) = -104*n**3 + n**2 - 11. What is -4*a(h) + 22*j(h)?\nAnswer: -24*h**3 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -9. What is the third derivative of 7*d**f + 7*d**3 - 3*d**2 + 7*d**3 wrt d?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2 - 7*m + 7. Let u(z) = 2*z**2 + 4*z - 4. Let h(w) = 4*s(w) + 7*u(w). Let x(o) be the second derivative of -o**4\/12 - o. Calculate h(x(t)).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24590?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082424463 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (-2 - -3)*-9. Let h be (-20)\/v*120\/(-50). Suppose 0 = 2*q - h - 0. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -120 - -120.087. Round t to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/1445 and -71\/408.\nAnswer: 34680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12 + -2)*1\/(-2). Let m be ((-2)\/s)\/(2\/(-10)). Let i be ((-3)\/(-6))\/(-1)*m. Let b(x) = 4*x**2 - 1. What is b(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**3 + 2 - 2)*(-7 + 0 + 1) + 3*l**3 + 2*l**3 - 4*l**3 + (3*l**3 + 4*l**3 - 5*l**3)*(-2 + 1 + 0).\nAnswer: 17*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 501068785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, d: 2}. Give prob of sequence dp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69191.2ng to kilograms.\nAnswer: 0.0000000691912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 63037, 251926, 566735, 1007458, 1574089, 2266622, 3085051, 4029370?\n\"Answer: -u**3 + 62966*u**2 - 2*u + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1743 - -1831. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 187 + -183. Let h(c) = -2*c**2 + 4*c + 4. Determine h(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v + 4. Let k be u(-3). Let p = 59 - 58. Suppose -1 + p = 4*m. Put -1, k, m in descending order.\nAnswer: m, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {v: 2, d: 8, x: 2, t: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/15))**(-15)*l**(-13)*l**5)**(-3\/14) assuming l is positive.\nAnswer: l**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*p = -40, h + 5*p - 51 = -h. Let k = -5 + h. Suppose m = k + 2. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -1\/18*j**6 + 1\/30*j**5 + 1\/42*j**7 - j + 0*j**3 + 0*j**4 + 0 + 0*j**2. Factor g(l).\nAnswer: l**3*(l - 1)*(3*l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gducdguuxugggcucg. Give prob of sequence dxd.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.3 (b) 6 (c) 5 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -10. Let f = 8809 + -52853\/6. Which is the third biggest value? (a) f (b) o (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3) - (4 + 256\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*l + 12. Let g be 2\/l + 60\/36. What are the prime factors of (11 + -7)*15\/g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, m: 1}. Give prob of picking 2 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -452758472*i**2 - i - 546365981.\nAnswer: -905516944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2272*g. Let f(c) = c**2. Determine f(q(k)).\nAnswer: 5161984*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqq when three letters picked without replacement from jashqhqqahhasjassjq?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4703 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2. Let a(j) be the second derivative of 133*j**3\/2 + 3*j + 184. What is a(o(i))?\nAnswer: -798*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*l - 4*q = -12870, -3*q + 6435 = l. Suppose -l = -4*a + 4673. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147302100 divided by -44637.\nAnswer: 3300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13276 is divided by 4149?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 4:56 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 6*b - 3. Let z = 5 - 12. Let x(s) = 2*s + 1. Let m(l) = 2*l + 1. Let v(q) = 5*m(q) - 6*x(q). Determine z*v(k) + 2*g(k).\nAnswer: 2*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 606*t - 663*t - 1047*t.\nAnswer: -1104*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/((-156)\/(-84)) + -49 + 0. Put -5, t, 1 in increasing order.\nAnswer: t, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*j = -5*c + 28, 31 = 3*j + 2*c. Is 6526\/6 - (50\/(-6) + j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4124963 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (111\/21 - (-158)\/(-553))*(-27)\/10\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13153 (base 6) to base 10.\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 46, 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**5 + 3*n**5 - 2*n**2 + n**2 - 4*n**5 + 0*n**5 + 3*n**5 + (-4 + 4 + 2*n)*(-2*n**4 + n**4 + 0*n**4) - n**5 + n**5 - n**5 - 10*n**5 + 5*n**5 - 2*n**5.\nAnswer: -12*n**5 - n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 1\/20*k**5 - 1\/8*k**4 + 0 - 1\/120*k**6 - 2*k**2 + 0*k + 1\/6*k**3. Factor w(p).\nAnswer: -(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 299894, 299896, 299898?\n\"Answer: 2*z + 299892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 11*i - 14. Let c be (4\/8)\/((-2)\/4). What is the remainder when c\/2 + (-102)\/(-4) is divided by u(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 294 - 657 + 309. Let j(w) = 10*w**3 + 4*w**2 - 4*w. Let b(f) = 19*f**3 + 9*f**2 - 9*f. Calculate r*j(m) + 4*b(m).\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 0, -0.04, 31, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2 = -0*q - 2*j, 3*q = j + 7. Solve 4 - 39 = -4*n + 3*s, 5*n = -q*s + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8464516 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3133 (b) -4\/5 (c) -7 (d) -1\/2 (e) -9 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**5\/180 + k**3\/18 + k**2 + 2. Let h(s) be the second derivative of r(s). Find l such that h(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -301*t**2 + 4464*t - 3454. Give s(14).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + 0.1. Let w = 298 - 892\/3. What is the nearest to -0.1 in k, w, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 927375 - -5?\nAnswer: 92737a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-1*(3 + -1)). Suppose 2 = 3*h + 4*y - d*y, 4*h = -y + 12. Solve -3*i + 9 + 20 = 4*l, -h*i + 6 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -953723 divided by 129?\nAnswer: -953723\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 + 29*a**2 + 12*a + 31. Let x be p(-14). Let o = 116 - x. What is the remainder when o is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 n when two letters picked without replacement from aana.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21222020 (base 3) to base 7.\nAnswer: 22641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*i + 32 - 132 = 143*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71276.89l in millilitres?\nAnswer: 71276890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, 2\/15, -0.2.\nAnswer: -74, -0.2, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkxxxxxxxxx. Give prob of picking 4 x.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 1 - 4 - -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52338 is divided by 2202?\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/7))**(-24)\/((p*(p**(-3)*p)\/p)\/((p\/p**(-2\/9))\/p*p)))\/(p**3*p\/(p*p\/((p*p\/(p**(-13)*p)*p)\/p)*p)*p)**(1\/7) assuming p is positive.\nAnswer: p**(491\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3\/a**9)**(-18)\/(a**6\/(a**(-3)\/a)*a**(2\/9)*a*a\/(a\/a**(-2\/7))) assuming a is positive.\nAnswer: a**(6115\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40814847?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9471562*l**3 + 9471648*l**3 - 18943209*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299)*-1*4 + (-2*sqrt(2299)*2)**2 + 5 + sqrt(2299)*1 + 5.\nAnswer: -33*sqrt(19) + 36794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 43, -1\/7, -2\/15, -163\/4 in increasing order.\nAnswer: -163\/4, -3, -1\/7, -2\/15, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5723, 5681, 5651, 5639, 5651, 5693, 5771, 5891?\nAnswer: 6059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 30946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11494*f + 805 = 11471*f for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*q + 2*t + 4, 2*q + 2*t - 2 = 0. Are q and -0.08 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a + 3. Let q(b) = -10*b + 9. Let k(d) = -d**2 - 7*d - 8. Let z be k(-6). Suppose 8*x - 17 - 39 = 0. Let o(h) = x*g(h) + z*q(h). Calculate o(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = -4*c. Suppose 2*i - 34 = -4*q, -i - 5 = -2. Let v be (-4)\/(-6) + q\/(-18). What is the nearest to 1\/4 in c, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58618 + -1456\nAnswer: 57162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 6*r + 1654 = l, 0 = -l - 2. Calculate the greatest common divisor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 341822 and 468.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137755732?\nAnswer: 2, 34438933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -504 in -2\/19, 0.4, 36, 0.2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 5366.76.\nAnswer: -21467.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 5*n + 46. Is 7 a factor of l(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -90, -5, 3.\nAnswer: -90, -5, 1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(187)*-1)\/(sqrt(121)\/(sqrt(22)\/sqrt(2))) - (1*-2*sqrt(833) + 3))**2.\nAnswer: -60*sqrt(17) + 1709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (8 + -24)) + 1 + -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*b**3 + 6*b**4 - 9*b**2 + 69*b**4 + 21*b**2 - 28*b**3.\nAnswer: 3*b**2*(5*b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-8)*6 + 34249\/(-58). Let m = -255 - r. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14745187981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8159769 or -0.07?\nAnswer: 8159769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8781447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -48057 and 265.\nAnswer: -12735105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27409229.\nAnswer: 19, 1442591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74)\/185*2\/(-4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 11:05 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17672, 70718, 159188, 283130, 442592, 637622, 868268, 1134578?\nAnswer: 1436600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18642 take away -0.15?\nAnswer: -0.03642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2874 + 4314 + 1232 - 891)*(-4*p**5 + 3*p**5 + 0*p**5).\nAnswer: -7529*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u**3 + 94*u + 11*u**3 + 83*u - 177*u.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 83 = -11. Let g be 15\/21 + 2\/7. Let s be -1 + 6 - g\/1. Calculate the greatest common factor of l and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**(1\/32)\/((k*k\/(k**(-2\/5)\/k))\/(k\/((k\/((k*(k\/(k\/(k\/(k\/(k*k\/k**6)))))\/k*k*k)\/k))\/k))) assuming k is positive.\nAnswer: k**(-859\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, -22, -101, -224, -391, -602?\nAnswer: -857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 295*g - 2496. What is a(7)?\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 3.4, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 1 - 11 = 0. Let a = g + 3. Let d(h) = -h**3 - h - 6. Determine d(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 2:49 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 178*z + 2136. Let h be u(-12). Solve h = 3*x + 5*r + 40, x + 5*r + 0*r + 30 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56825068?\nAnswer: 2, 47, 302261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 61001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuuuuuuuv. Give prob of picking 1 v and 1 u.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 533\/12 + -133\/3. Suppose -32*i = -67 - 29. Suppose i = -3*s - 3*b, 4*s - 6*b = -7*b - 1. Which is greater: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32699 (base 14) to base 5\nAnswer: 12401142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 331 from -0.065.\nAnswer: -331.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35*((-2)\/10 + 2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16\/(-20) - (5 + 12\/10) - -19805?\nAnswer: 2, 19, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11422 - 4970 = -1833*x + 9080 + 31351 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 1. Let g(m) = -59*m + 6. Give -g(k) - 4*h(k).\nAnswer: 63*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -189143*o**3\/3 - 63047*o**2 + 2*o\/3 = 0. What is o?\nAnswer: -1, 0, 2\/189143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 3*y**2 + 131*y - 11032. What is a(-22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29690, -52963, -76236, -99509, -122782, -146055?\nAnswer: -169328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (3 - (-2 + -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.013 - -2.613. Let l = -0.02 - 2.98. Let x = l + c. Put x, 1\/8, -1 in increasing order.\nAnswer: -1, x, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-six sevenths of a week?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -3*m**5\/140 - 9*m**4\/28 - 10*m**3\/7 + 162*m. Determine q, given that c(q) = 0.\nAnswer: -5, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3 - -12) + 711\/(-18))*-6*16\/42?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*u**3 + 14630144 - 14630144.\nAnswer: 21*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3590636439?\nAnswer: 3, 13, 43, 167, 12821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 241, 376, 529, 706, 913?\nAnswer: 1156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -4*l - 8. Let x be l*4*(-1 + (-9)\/(-6)). What is the units digit of 2 + (-6 - x) - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.15 - 0.05. Let r = 19 - 390. Let z = r + 371.3. Which is the closest to z? (a) -0.07 (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22886919 divided by 4983\nAnswer: -4593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3285*h*q**3*u - 12*h*q**2*u**2 - 5360*h*u**3 + 4*q**3*u**3 + 6*q**3*u**2 - 6*q**2*u**3 wrt u?\nAnswer: -32160*h + 24*q**3 - 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -215*l*s**2 - 3*l*s + 18141581*l - 3415*s**2 wrt s?\nAnswer: -430*l*s - 3*l - 6830*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 1. Let d = -99 + 101. What is the remainder when d is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 615745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s - 7*s + 15. Let u be 3\/s + (-51312)\/(-10). Suppose -5*k + u = -3*t + 956, 3*k - 2505 = -4*t. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5\/4 + 7*u**4\/4 + 13*u**3\/4 + u**2\/4 - 7*u\/2 - 2 = 0. Calculate u.\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(66)\/sqrt(11)) - (sqrt(168) + sqrt(168)*1)\/sqrt(12))\/(sqrt(22)\/(sqrt(11)*4) + -4*(sqrt(2) + sqrt(24)\/sqrt(12))).\nAnswer: 4*sqrt(7)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/27 + 754\/(-117)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3be (base 16) in base 5?\nAnswer: 12313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((18591*-40)\/8)\/(-6 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 3\/4, 2\/15, -0.13, -11?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5219, 10940, 16663, 22388, 28115, 33844?\n\"Answer: h**2 + 5718*h - 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 566300639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*s - 26, 18 = 3*n + 4*s - 17. Calculate the remainder when 21 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s + 58. Let q be h(-23). Solve 14*p - q*p - 10 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*h = 6*h + 10, -2*l + 5*h = -32. Suppose 6*t - 24 + l = 0. Let z = -2 - -1. What is the nearest to z in t, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9938?\nAnswer: 2, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(16)\/sqrt(8) + (sqrt(2) - (sqrt(2) + sqrt(20)\/sqrt(10)*2)) + sqrt(16)\/(-4*-3*sqrt(8))*-6)**2.\nAnswer: 49\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2 = t. Let p(j) = -18*j**3 + j**2. Calculate the remainder when p(-1) is divided by -5*2\/(t - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*n - 4*z, 0 = n + z + 4*z + 17. Which is the second biggest value? (a) n (b) -0.09 (c) -3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -10. Let q be (6\/(-9))\/(l\/(-66)). Suppose 5*n - 49 = q. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 3*o - 2*o)*(3 - 2 - 4) + 2*o + 1 - 1 + 2 - 5 - 5 + 9 + 104*o - 1.\nAnswer: 109*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 - -5)*2\/6. Let w(o) be the first derivative of 0*o - 1 - 1\/3*o**3 + t*o**2. Let v(y) = -y**2. Calculate v(w(z)).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 144697206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1251, 1253, 1255?\nAnswer: 1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 2*c + 668, 0 = -3*f - c + 1118 - 128. List the prime factors of f.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -939778, -939780, -939772, -939748, -939702, -939628, -939520, -939372?\n\"Answer: r**3 - r**2 - 6*r - 939772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2400 bigger than 2396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22022 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -40601, -81243, -121887, -162533, -203181?\n\"Answer: -j**2 - 40639*j + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 740857 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1119 is divided by ((-12)\/(-14))\/((-303)\/(-2828))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -0.06875\nAnswer: -0.006875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -130738, -261490, -392242, -522994, -653746?\n\"Answer: -130752*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1546.\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 61918*y. Let g(r) = -4*r - 1. Calculate h(g(s)).\nAnswer: -247672*s - 61918","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-10)\/(-3120)*-6*(-5 - -3).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k + 1. Let i be f(1). Let t = -22 + 14. Let c(o) = -o**2 - 10*o - 11. Let z be c(t). Solve -s + 7 = 2*l - l, -l = -z*s + i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j + 94*j**2 - 40*j + 10*j + 11*j - 89*j**2.\nAnswer: 5*j**2 - 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k + 0*k + 2*k)*(-5*k**3 + 6*k**3 - 3*k**3) - 67*k**4 + 37*k**4 - 70*k**4 in the form p*k + g + a*k**4 + x*k**2 + s*k**3 and give a.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000020012 rounded to 6 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 0\/(-1) + 22. Suppose 0 = -2*c - 5*r - 4, -c = -5*c + r + 14. Suppose 0 = -c*v + 5*v - q. What is the greatest common factor of v and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163.4*0.5.\nAnswer: 81.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/520 and 6\/59.\nAnswer: 30680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/114765 and 64\/9837.\nAnswer: 344295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (80 + -3)*(4\/12 + 0). Which is greater: 26 or y?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 414305543?\nAnswer: -414305552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k. Let c(d) = 2 - 2 + 0 - 4*d**2. Let r(l) = 5*l**2. Suppose s - 5 = -0*s. Let u(z) = s*r(z) + 6*c(z). Give u(b(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/(-30))\/((-4)\/(-24)). Let l(g) = -g**2 - 6*g - 6. What is l(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 8 = -3. Put -2, j, 1 in decreasing order.\nAnswer: 1, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4 + 3 - 66*r + 68*r wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 c when four letters picked without replacement from {c: 3, j: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {o: 3, x: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5973*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 104? (a) 3 (b) -4 (c) 0.04 (d) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 11*w**2 - 8*w + 5. What is r(12)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**2 - 5*g**2 + g**2 + (-4 + 5 + 1)*(0*g**2 + g**2 + 0*g**2) - 2*g**2 - 167*g + 82*g + 84*g.\nAnswer: -7*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*(-4 + sqrt(28)).\nAnswer: -10*sqrt(7) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 257063.11 rounded to the nearest 1000?\nAnswer: 257000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 4*p - 2*p)*(p**4 + 2*p**4 - 6*p**4) + 0*p**5 + 5*p**5 + 3*p**5.\nAnswer: 11*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*c - 2*t, -c - 20 - 614 = -49*t. Factor 0 + 4\/7*d**c + 8\/7*d**2 + 4\/7*d.\nAnswer: 4*d*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 4*k**2 + 19*k - 193. Determine m(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = 2383*u - 2379*u + 2*b + 21, 18*b - 59 = 2*u - 13 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 500 - 496. Solve -3 + f = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*t - 8*t - 3*t**4 - 3*t**2 + 2*t**4 to the form a*t**4 + p*t + f + n*t**3 + s*t**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - ((-28 - -1) + 13)) + -19\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 + -50. Calculate the least common multiple of 10 and k.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4031581*z + 4031581*z - 4*z**3 - 6.\nAnswer: -4*z**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416*d**3 - d**2 + 56*d**3 + d**2.\nAnswer: 472*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*i + 119 = -21*i. Suppose 22*k = i*k + 4710. List the prime factors of k.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -0*k - k. Let v(w) = -w**2 + 3*w + 255. List the prime factors of v(k).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35002 and 179654?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12102212120 (base 3) in base 9?\nAnswer: 172776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.342244367 rounded to four dps?\nAnswer: -2.3422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/2)*s*s**1)**39 assuming s is positive.\nAnswer: s**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 70751821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m = -10 + 19 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 131347 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58)\/(-180) + 48\/(-480).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 438363640 - 1?\nAnswer: 438363638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a hour in minutes?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -64*z. Let n(p) = -2175*p. What is -203*f(g) + 6*n(g)?\nAnswer: -58*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 40413.12g?\nAnswer: 40.41312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*r - 472 + 440 = 65 + 2243 for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 25\/9 - 118\/(-531). Let d be -7 + (v - -7) - 1. Let w be (0 - (-2)\/4)*4. Solve w*z = d*x - 20, 5*x - 13 = 12 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 y when two letters picked without replacement from {v: 9, x: 4, n: 2, y: 1}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 2*c. Let k be (24\/30)\/(4\/10). Let d be t(k). Let v = d - -10. Solve -15 = -b - v*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -60985.\nAnswer: 30492.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 30427800 to the nearest one million.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 52317*c + 3295960. What is k(-63)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k - 11. Let g be h(10). Let u be 8\/(24\/(-9))*g. Suppose -v = u*i - 55, 0 = v - i - 2*i - 25. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -1342*w. Let h(p) = 70. Let l(x) = x - 560. Let d(z) = -8*h(z) - l(z). Give j(d(y)).\nAnswer: 1342*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -17?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from afaaaafaaaaaafaaaa. What is prob of picking 4 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -1, 101, -20, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, t: 4, c: 2}. What is prob of picking 2 c and 1 t?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (3 - 1) - (83 - (-32 - -3 - -69)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27578743.445 - -65609.445. Let v = -27513384.99883 - s. Let j = -251 - v. Round j to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 245493.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(20\/8) + 4. Let u(x) = -3 + 361*x**v + 3 - 367*x**2. Let s(g) = -5*g. Determine s(u(c)).\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 7. Let q = u + 1. Let b(c) = -6 + 5 - c - 8. Determine b(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a**2 - 2*a**2 + 3*a**2. What is the units digit of t(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 101 + 83 = 0. Suppose 2*d + j - 14 = -j, -13 = -4*d - j. Suppose f + 4 = 6, -3*n + 40 = d*f. Calculate the remainder when i is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (59\/40)\/(5\/20) and -55\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8\/25 of a meter?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 588522989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 a factor of 666974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 3*q - 1. Let d be h(-3). Suppose 0*v - 5*g + 25 = 5*v, 4*g - 20 = 3*v. Which is the nearest to 0.1? (a) 4 (b) d (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20181 and 166656?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 109 in -0.1, -0.4, 0.2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 4) to base 15.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 6361520.\nAnswer: -25446080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0821300478 to four dps.\nAnswer: 0.0821","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 304 = -9*t + 345, w - 4*t + 5 + 0 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 12, 2069, -8 in descending order.\nAnswer: 2069, 12, 1\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11052 by 1029.\nAnswer: -3684\/343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 5*i - 23, 0 = -w - 2*i - 1 + 11. Let z be 2\/(-4) + 6\/w. Suppose 6 = -y + 2*c, 3*y - 4*c = -6 - 2. Put y, -4, z in increasing order.\nAnswer: -4, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1319 is divided by 419.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 36\/28) + (-40)\/(-42). Let x(q) = -q**2 + 6*q + 4. Let g be x(-2). Let z be (-2)\/(-12) - (-398)\/g. Put v, -5, z, -3 in increasing order.\nAnswer: z, -5, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -4*h - 22, 4*x = 16 - 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 89?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 6:07 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 72 = 3*j. Suppose -3*c - c + 8 = 0. Suppose c*l + 3*l - 65 = 0. Calculate the remainder when j is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 103 - 513\/5. Suppose -a = 4*c - c + 4, -20 = c + 5*a. What is the biggest value in c, m, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.5 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/4))**(2\/73)\/(v*v*(v\/(v*v\/(v**(-2\/23)*v)))\/v*v\/(v\/(v\/(v\/v**(-1\/6))))) assuming v is positive.\nAnswer: v**(-3794\/5037)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*y + 25. Let v be (y\/6)\/((-1)\/10). Solve 3*n = -n - v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 1255 = -1231 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148413669 and 11898?\nAnswer: 1983","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 123*t**2. Suppose 7*n = 4*n + 6. Let y(m) = -22*m**2 - 27*m**2 + 48*m**n. Give o(y(j)).\nAnswer: 123*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 607*x**6\/40 - 7*x**5\/60 - 35*x**4\/24 - 82*x**2. Find the third derivative of u(a) wrt a.\nAnswer: 10926","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53848 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02 + 5.32. Let r = -0.3 + v. What is the third biggest value in r, 2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -371 or -373?\nAnswer: -373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**5 + 67*a**3 - 55048*a**2 - 3770432*a wrt a?\nAnswer: 40*a**3 + 402*a - 110096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2142, 3, -339459.\nAnswer: -339459, -2142, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23407\/24 - 2906\/3. Suppose -33 = -5*m + 7. What is the common denominator of t and 106\/m - -3 - 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -794a55 (base 11) in base 10?\nAnswer: -1265720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - v - 19, -3*v + 8*v - 13 = 2*u. Let p be u\/(-6)*75\/2. Let h = -13 + p. Solve -4*o = 3*c - h, 2*c + 4 = 4*o + 3*c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249091903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 554415 and 1725?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 0.5, -5.4, -5, -0.6, 5.\nAnswer: -5.4, -5, -0.6, 0.5, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 72, 111, 154, 201, 252?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23285702.5 - -18689869. Let l = -4595794.499953 - y. Let a = 39 - l. What is a rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 146048 and 46781?\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -1, -2\/3, 5.4 in decreasing order.\nAnswer: 5.4, 3\/4, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 - 51.054. Let a = -0.0517 - c. Round a to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**3 - g**2 - 12*g - 1. Let b(c) = 6*c**3 - 5*c**2 - 61*c - 812. Determine -b(l) + 5*n(l).\nAnswer: 4*l**3 + l + 807","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 20*v**2 + 3*v + 2. Let z be (2\/4)\/(18\/(-36)). Is 5 a factor of b(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -16*b + 2*b + 11*b - 79. Let m be z(-32). Solve -m = -5*u + 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - c**2 + 2*c**2)*((c + c - 4*c)*(0 - 4 + 5) - 4 + 4 - 2*c)*(6*c**2 - 5*c**2 + 2*c**2).\nAnswer: -12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (39 + 36 + -44)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -244 and 3121950293.\nAnswer: 3121950049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*q + 594 = -22*q + 20*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*z - 6*z - 180. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 16*r**2 - 1348*r + 8685. What is q(7)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(27\/3)*3\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*r + 118*r + 28*r + 174*r.\nAnswer: 129*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(3 + (-25)\/10). Suppose w = 43*k - 14*k - 19024. Is 16 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 357.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3*-4)\/(68\/255)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 3) to base 14.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 13*y. Let r(s) be the third derivative of s**4\/8 - 3*s**2 - 24*s. Give l(r(b)).\nAnswer: 39*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 20380 divided by 2038\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/70*-7*5\/15.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84502051 is divided by 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -2*s + 6, -2*r - r - 24 = 5*s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 678505 divided by -135701.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*z)*(z + 3*z - 2*z) + 6*z**2 - 2*z**2 - z**2 + (3 - 4 + 2)*(2*z**2 - z + z) + 3*z**2 + 0*z**2 - 2*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v. Let q(k) = -63*k - 8*k + 7 + 14. Let i(c) = -14*c + 4. Let s(o) = -11*i(o) + 2*q(o). What is s(a) + 10*z(a)?\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1170 is divided by 113.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-20)\/((-10)\/1))\/1. Let p(t) = -7*t - 3. Let j be 0 - -3 - 3 - 0. Suppose -l + j = 5. Let c(m) = -3*m - 1. What is l*c(y) + v*p(y)?\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4*w = 29, 0 = -d + 5*w - 2260 + 2295 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/7*7*168\/147?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 5*v - 5. Let c be t(5). Let r = -5 + 8. Let k(q) = -1 + 0*q + q + r. Give k(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 6*a + a)*(5*a - 4*a - 2*a) + 29*a**2 - 15*a**2 + 4*a**2 + (-a - a + a)*(-5*a + 3*a + 4*a).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 5463108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 times 200?\nAnswer: -10200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 366 + 2054 - 3821*w**4 + 3293 wrt w?\nAnswer: -15284*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 12*f**2 - 7. Let k(s) = 66*s**2 + 69*s**2 - 159*s**2 + 14. Let d(b) = 4*k(b) + 9*v(b). Differentiate d(i) with respect to i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*x + 15, 23*v + 3 = 28*v + x. Factor 2\/11*k**2 + v - 4\/11*k.\nAnswer: 2*k*(k - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.1 - -3. Let k be 945\/18*(0 + (-90)\/(-168)). Let s = k - 2041\/72. What is the closest to o in -3\/4, -2\/13, s?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*c + 719499 = -2*c - 1481049. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*o + 8440 - 2194 - 2485 = -10343 for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(273\/(-24))*35\/(-10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*b = -152*b + 865. Let m = 180 + b. Let z(o) = -2 - 7 + o + 3. Give z(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 889 + 119 = 0. Let n be 4\/10 - (-36)\/10. Suppose 2*q = 2*l - 34, -n*q = 4*l - 0*q - 44. Calculate the highest common factor of i and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 61 + 71, -4*q + 18 = -2*v. Suppose y - 187 = -q*b, -b + 17*y + 101 = 19*y. What is the greatest common divisor of b and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002604575837 rounded to six decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)*t)**41\/(t*t**(-8)\/t*t*(t**(2\/3)*t)\/t) assuming t is positive.\nAnswer: t**(-104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 11.87. Let w = 0.2 + j. Let z = -2756.8 + 2754.8. Which is the second smallest value? (a) w (b) z (c) 1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*f = -s + 13, 3*f = -s + 7. What is the third derivative of -4*b**3 + 0*b**3 - 2*b**f + b**2 wrt b?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 262961, 525932, 788903?\n\"Answer: 262971*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 739 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 - 4*i**2 - 4*i - 4. Let x be u(4). Suppose 2*q - x = 304. Does 29 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggggggggggggyy. What is prob of sequence yg?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sm when two letters picked without replacement from qmsir?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -446905168, -893810334, -1340715500, -1787620666, -2234525832, -2681430998?\nAnswer: -3128336164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 2*u**2 + 94*u - 424. Determine t(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6310151 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttrrtrr. What is prob of picking 2 t and 1 r?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 36 - (38 - -26) - 23\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -81*b + 3362. Determine w(35).\nAnswer: 527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*a**3*d**2 - 2*a**3*d - 7563*a**3 + 2*a**2*d - 5*a*d + 3050420*d**3 wrt d.\nAnswer: 10*a**3 + 18302520*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-5\/6))\/f)\/f*f**(9\/4)*f)**(-7) assuming f is positive.\nAnswer: f**(-259\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2 + 6 = 2*l, -3*r = -5*l + 20. Let n be (-378)\/(-5) + l\/10. What is the highest common factor of 19 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x\/(x*x\/((x**12\/x)\/x)))\/x)*x**(6\/5))**5)**(3\/5) assuming x is positive.\nAnswer: x**(-87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 10. Suppose -2*p - 6 = 4*v, 4*v = -0*v - p - 11. Let l = v - -15. What is the remainder when l is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p - 2*p - 10*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7208348707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxyxxyxyxxx. What is prob of picking 1 x and 3 y?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**10)\/m)\/m**(-14)*(m**(-1))**(-48) assuming m is positive.\nAnswer: m**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00021794 to six decimal places.\nAnswer: -0.000218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**3 - 15*k**2 + 3*k + 10. What is the units digit of z(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c - 1. Let w be x(-6). Let m = 44 - w. Let l = -17 + m. Calculate the remainder when 16 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -1, 4, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 59 in 5, 3, 76, -31.4?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16613 + -9893. What are the prime factors of m?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*o = 4. Solve 2*u + 2*u = -p - 16, p - o*u - 16 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474494 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -103, 7, 0 in increasing order.\nAnswer: -103, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, -2, 2, -150, -8, 3 in ascending order.\nAnswer: -150, -8, -2, 2, 3, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4738171?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - -387\nAnswer: 386.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32*1.5.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -58 and 349?\nAnswer: -20242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**4\/12 + y**3\/6 - 2*y**2. Let u be t(-1). Let q be u\/(-21)*(0 + 2). Which is smaller: 0.3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106309 + 8099 = 14*z. List the prime factors of z.\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1 - (1 + 1) - 6) + 212 + -236.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 6*s**3 - 610*s**2 + 388*s + 1713. Calculate k(101).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(5\/4)*m\/(m**0\/m)*((m**1*m*m*m)\/m)\/((m*m\/(m**(-2\/5)\/m)*m*m)\/m*m) assuming m is positive.\nAnswer: m**(37\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -2\/3*n**3 + 4\/15*n**5 + 0 - 2\/35*n**7 - 11*n**2 + 0*n + 1\/3*n**4 - 1\/15*n**6. Determine b, given that u(b) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5662 (base 7) in base 4?\nAnswer: 200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3668.\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, 2\/17, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*j - 162*j + 7 + 445*j**2 - 82 - 1213*j**2 = 0 for j.\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 5*u - 16 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -12*o**3 + 5*o**2 + 6*o + 1. Let g be z(-3). Let x = -57 + g. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) -0.29 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 3. Let n = 4 + -4. Let b be g(n). Calculate the greatest common divisor of b and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = h - 8926, -3*c + 5451*h + 6699 = 5454*h. Calculate the highest common divisor of c and 2425.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -4*u - 88. Let v = -7 - u. Suppose -7 = v*w - 39. Solve -o + w = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0 - 1) + -99 + 99.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in 2\/11, -1, 4.4, 4, -0.34?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + o**2 - 2. Let r(a) = a + 8. Let n be r(-6). Let z = -4 + n. Give k(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 34025761.\nAnswer: 10207728.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**2 + 3*b**2 + 0*b**2 + (-3*b**2 + 0*b**2 + b**2)*(-2 - 3 + 3) + 2*b + b**2 - 2*b - 11 - 3*b**2 + 9 + 6*b**2.\nAnswer: 9*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000001010101110011 (base 2) to base 6.\nAnswer: 24550151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1.1, 0.57, 0.3, 15\/4, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/49497868 or 1?\nAnswer: 1\/49497868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51340 and 32465.\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*b - 0*b + 183, 5*b + 381 = 4*s. Suppose 3*t - 124 = -s. Suppose -t*z = -8*z - 12. Solve -k + 3 = -f, -2*k - 3*f = -f - z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d. Let l be b(-2). Solve -3*c = -l*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1740326431 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - (-7 + 2)) + 23. Let h = v + -4. What is the remainder when 62 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 999 - 995 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -299, -1177, -2637, -4679?\n\"Answer: -291*a**2 - 5*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 37*b - 5 - 7*b + 49*b**2 - 31*b - 4*b. Let x(f) = 25*f**2 - 3*f - 3. Give -3*q(k) + 5*x(k).\nAnswer: -22*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 - -22. Let j = 34 + h. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 13 and 20 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1431.91751 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*k. Let u be 1\/(-6) + (-1210)\/660. Sort k, 3, u, -14 in increasing order.\nAnswer: -14, u, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - -6*(2*sqrt(153) - sqrt(153)))\/(4*sqrt(144) + sqrt(9)) - (-2*(sqrt(85) - sqrt(85)*2))\/(-5*sqrt(5)*-1).\nAnswer: sqrt(17)\/85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139696 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12931214 by -5.\nAnswer: 12931214\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -2 + 1 + 1 + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*x = -2 - 10, 0 = -4*n + 4*x + 12. Suppose -6 = y + 2*q, n*q - 6*q = -4*y + 31. Solve 3*t - 4*i - 11 = 0, 0*i - 22 = y*t + 2*i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -809892 divided by -9.\nAnswer: 89988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 46726519\nAnswer: -233632595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (0 - -12) + 1 + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109603 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4417719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 47 = -5*i + 2*s, 51 = 5*i - s. Suppose -r - 2*h + 8 = -5*h, 4*r - h = 21. Solve 5*l - r*y - i = 0, 2*l + 2 = 3*l + 5*y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 11294.\nAnswer: 5\/11294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.09 - 0.01. Put n, 2\/3, -2 in increasing order.\nAnswer: -2, n, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200929 is divided by 183?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 60 = 3*y - 32, 5*y = -h - 24. Sort h, 2, 1, -0.06 in descending order.\nAnswer: 2, 1, -0.06, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 6*u**2 - 6*u - 5. Let t be o(5). Let x be (t + -2)*3\/(-9). Find the second derivative of 2*m**4 + 3*m + 3*m - x*m wrt m.\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80562.76 rounded to the nearest one hundred?\nAnswer: -80600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/(-78) + (-20)\/(-6). Suppose 0*s + 2*s = -2, -i - 5*s - w = 0. Let o(d) = -d**2 + d - 3. Determine o(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2 + d**2 - 2*d - 110011*d**3 + 0*d + 109993*d**3 + d. Let b(r) = -r**2 + 4*r + 3. Let f be b(5). What is the units digit of c(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -988219602 and -1?\nAnswer: 988219602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**7\/30 - n**6\/40 + 17*n**5\/30 + n**4\/6 - 15*n**3\/2 - 2*n**2 + 2*n - 353. What is the second derivative of g(c) wrt c?\nAnswer: -84*c**2 - 18*c + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 16*f**5\/5 - 16*f + 17. Differentiate j(w) wrt w.\nAnswer: 64*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77)\/14*(-300)\/(-110).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/45)\/p**(-25))\/(p**6)**(-1\/67) assuming p is positive.\nAnswer: p**(75511\/3015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24493003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1214631 (base 10) to base 4.\nAnswer: 10220202213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -109930*g**2 - 138990 wrt g?\nAnswer: -219860*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 4309000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + -441699 - (2 - -1). Let m = -21698 - l. Suppose -262792 = -5*j + 4*p + 1837212, -j + m = -4*p. Round j to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 1:07 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - r - 4967 - 17284, -j + 7433 = 5*r. List the prime factors of j.\nAnswer: 2, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40200 divided by -13400.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 0)\/((-2)\/(-1802)). Round p to the nearest ten.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 18 = 5*m + 2*c, 4*m - 5*c = 66. Let h(n) = -n + 1. Let x(b) = -3*b + 7. What is m*h(k) - 2*x(k)?\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*d + 56*d + 179 - 38*d as f + o*d and give f.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*c - 33 = -2*s, 5*s - 2*c - 77 = 0. Let h(o) = o**3 - 15*o**2 - 21*o - 29. List the prime factors of h(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.21896 (b) -1\/5 (c) -20\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 - 7*x + 4. What is p(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 37 + 33 = -2*x, -3*x = z - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 1 - (-4701 + 4702)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 3*q**2 + 2*q**2. Let h(x) = -16*x**2. Let j(p) = 39*p**2. Let c(d) = 5*h(d) + 2*j(d). What is c(u(w))?\nAnswer: -32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1680\/(-1536)*84\/(-98)?\nAnswer: 15\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**15\/v*v)\/v**(-3))\/(v**(-16)*v**2) assuming v is positive.\nAnswer: v**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 5 - (-1 - -10) - (0 + -2). Is -99\/56 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-1)*(112\/60)\/(-7)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8017.099 decades in millennia?\nAnswer: 80.17099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 9. Let q = 26.8 + -21. Let y = 0.8 - q. What is the nearest to -2\/3 in -6\/11, b, y?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17035 > 30068?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 137*m**2. Let i(x) = 33752*x - 4. Give i(k(z)).\nAnswer: 4624024*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -3268.9.\nAnswer: -3269.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 2640.\nAnswer: 2636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r - 8. Let f be l(-6). Suppose -f*m + 4 + 8 = 0. What is the second derivative of -2*v + 2*v**3 + 3*v**2 - m*v**2 wrt v?\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197380993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 3*r**2 - 4*r + 1. Let a be u(-3). Let p = a - 23. Is p at most -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15*10)\/(6\/(-32)). Let s be 6\/(2403\/a + -3). What is s rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 957543957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 56589 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1446 smaller than -1432?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 107554 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -12*f - 44. Let h(m) = -6*m - 25. Calculate 6*a(i) - 13*h(i).\nAnswer: 6*i + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + 273?\nAnswer: 27c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205404?\nAnswer: 2, 3, 17117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 18151314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -1\/10*n**5 + 0*n**2 + 1\/15*n**6 + 0*n**3 + 0 - 1\/63*n**7 - 3*n + 1\/18*n**4. Factor c(q).\nAnswer: -2*q**2*(q - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2454 divide 257336256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -125, -466, -1119, -2186?\nAnswer: -3769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 145*q - 2172. Let s be h(15). Solve -s*i + 271 = 289 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 12 = q. Suppose 2*h + 11 = m, -6*m - q*h = -m - 69. What is the remainder when 50 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*l = -0*l - 15, 3*l - 63 = -5*s. Let q(g) = 3*g - 49. Let r be q(16). Put 3, r, s in ascending order.\nAnswer: r, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-63))\/2*8.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59159 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 600 and 25680.\nAnswer: 128400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/(-135)*-51 - -6)\/(1\/(-265)). Which is smaller: 219 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 2*s + 18, 2*s - 20 = -4*c + 5*s. What is the second derivative of -c*f + f + 6*f - 2*f**2 + 3*f**2 wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 8923724*g**2. Let h(j) = -j**2. What is l(h(s))?\nAnswer: 8923724*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328523 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 32 - (4 + -6) - (-105 + 281 + -176)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2158*q + 2405 = -1132*q - 1091*q for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 4367272.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/11, 1, 4, -2\/5, -1772, 1\/6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 579372 is divided by 7150.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 + 15 = -3*k + 2*a, 11*k - 5*a = 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15477882 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1421 + -1420.7. What is the closest to 0.6 in 17, x, 2\/13?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 155 (c) 4\/5 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/54707 and -37\/1687.\nAnswer: 382949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, c: 2, w: 1}. What is prob of picking 1 c and 1 x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/2 + -4)\/(-1). Let l(c) = 3*c + 19. Is 8 a factor of l(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2745, -37559 in descending order.\nAnswer: 2745, 3, -37559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l**3 - 6*l**3 - 9*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1264*n**2 + 3547*n**2 + 154*n**2.\nAnswer: 4965*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(11\/4)*q\/((q\/q**(-4\/5))\/q*q*q*q) assuming q is positive.\nAnswer: q**(-1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*z**3 - 4*z**2 - 327*z = 0. What is z?\nAnswer: -3, 0, 109\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 - 1 + (3 + 3 - 5)*(-3 + 4 - 3) + 0 + 2 + 0 + 2 - 4 + 1 + 3 - 3 - 4)*(2*d + 0*d - 3*d).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -9*u + 23. Let z be (6*2)\/(-4) - -2. Let x(v) = v. Let d(t) = z*k(t) - 6*x(t). Let q be d(16). What is the greatest common factor of q and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268 - 1808 = -10*n. Does 34 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-32) - (-6)\/16. Sort -3, -2, 2, l in decreasing order.\nAnswer: 2, l, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -618.6989 * 10\nAnswer: -6186.989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, 1, -96, -4 in decreasing order.\nAnswer: 1, -4, -5, -6, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2. Let i = -38 - -40. Let o(w) be the third derivative of 1\/8*w**4 + 0*w**3 - 2*w**i + 0 + 0*w. Give f(o(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/60)\/((-2)\/(-354)) - 4. Which is bigger: -2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11034253 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 0.0826, -0.1 in descending order.\nAnswer: 0.0826, -0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.5 - -1.1. Let x = -1.4 - r. Let v = -3 - 0. Put -1, x, v in ascending order.\nAnswer: v, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136217 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 + 3*l + 12. Let o(j) = j**3 - 4*j**2 + 5*j + 25. Determine -3*o(q) + 5*s(q).\nAnswer: -3*q**3 + 2*q**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.3? (a) 2\/7 (b) -0.2 (c) -5.13 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 13. Let p(q) = 80 - 172 + 79 + 9*q - q**2. Calculate the remainder when 6 is divided by p(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6021277?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 136*n**2 - 215*n + 2566. Is g(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -53*k + 46*k. Find the second derivative of -5*w**5 - 5*w**5 + 165*w - 86*w - w**k wrt w.\nAnswer: -200*w**3 - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 127936.7 and 6.\nAnswer: 767620.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30428904*k**2 - 17213034.\nAnswer: -60857808*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w - 1. Let p be a(5). Suppose -2*c - p = -13. Solve c*d = 5*d + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -9 - 2 - 6130*-2?\nAnswer: 3, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 81, 155, 225, 291, 353?\n\"Answer: -2*b**2 + 80*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1468069?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c - 25*c - 1457 + 1457 + 13*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*x**3 + 5876*x**2 - 3908*x - 1956 = 0. What is x?\nAnswer: -1\/3, 1, 489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2690 + 4148. What is the highest common divisor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 853130, 853130, 853128, 853124?\nAnswer: 853118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 + 7.8. Let p = 4 - r. What is the third smallest value in 5, p, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/3 + -1 + 2. Let w be (j + -1)*(-5)\/(-2). Suppose 0 = -2*k + k - 4. Let i(g) = 3*g - 2. Let n(v) = -4*v + 2. Give k*n(a) + w*i(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/15 - 123\/(-9). Suppose -2*h - 4*z = -10, 2*z = -3*h - a + 28. Suppose -h*p - 485 = -6300. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, y: 2, p: 2, f: 1, d: 7}. Give prob of sequence yd.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 89349 + 60886 = -0*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 1. Let v(y) = -13*y**2 - 39. Let q(j) = -39*f(j) - v(j). Let u(b) = 4*b**2. What is 4*q(c) - 14*u(c)?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/7)\/(1558\/(-266))?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 f when three letters picked without replacement from {j: 1, f: 2, t: 4, r: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -36 + 8*j**3 - 1734*j - 1699*j + 3451*j + 34*j**2 = 0.\nAnswer: -3, -2, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-20) + (62 - (-16149)\/(-210))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from onsoonnoanaosossn. What is prob of picking 4 n?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1336, -2704, -4070, -5440, -6820?\n\"Answer: -a**3 + 7*a**2 - 1382*a + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-4)\/(-2) + 0. Let f = -971 - -719. Is ((-21)\/(-6))\/(b\/f*-3) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 75, 2 in decreasing order.\nAnswer: 75, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + -20 + -4 + 47?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 2:45 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -12, 5*w - 18 = 2*k - 4. Solve -5*o - 2*f + 3*f = 16, -2*f + 11 = -k*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4663, -4642, -4577, -4444, -4219, -3878, -3397?\nAnswer: -2752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-98353.55.\nAnswer: 196707.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 0. Suppose -2*j + i = 1. Suppose 0*q + 36 = 4*q + 2*a, -j*q + 3*a + 2 = 0. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.1, 3, 1\/7, 9\/2 in decreasing order.\nAnswer: 9\/2, 3, 1\/7, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3189*l + 3157?\nAnswer: -3189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 360 and 34520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 26 = -32. Suppose 2*o = -0*o + 102. Let w = g + o. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -8. Suppose 5*k - d*k - 35 = -5*o, -o + 29 = 5*k. Solve 2*v = 15 - k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 70 - 8 = 4*m, 2*l - 32 = -2*m for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000104 rounded to 7 decimal places?\nAnswer: 0.0000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3755049715289 + 3755049715289 - 5*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**6\/300 - o**5\/50 - 3*o**2 - 6*o. Let b(c) be the first derivative of v(c). Factor b(p).\nAnswer: -2*p**2*(p + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 303 by -3.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**2 - 3*a + 5. Let p(c) = -10*c**2 - 8*c + 14. Let q = 6096 + -6093. Determine q*p(y) - 8*t(y).\nAnswer: -6*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5001 + 9994 + 2021*x - 4995 to the form u + h*x and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(9\/7)*q\/q**(2\/9))**22 assuming q is positive.\nAnswer: q**(2860\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3780280904 to the power of 1\/5, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -c + d, 98 = -5*c + 2*d + 78 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.8, -1689, 60?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 4406 + 1284 + 1200 + 1130 + 1074.\nAnswer: d + 282","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -1178, 41, -10 in descending order.\nAnswer: 41, 5, -4, -10, -1178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6\/13 (b) -4 (c) -1 (d) 573 (e) -0.4 (f) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1011 + 134.814.\nAnswer: 1145.814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 d when four letters picked without replacement from ztdtmmmzzzzgj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14757 is divided by 73?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13932299*l**3 - 2939702.\nAnswer: -41796897*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4*f**4 - 936*f**3 + 44564*f**2 - 406896*f = 0.\nAnswer: 0, 12, 49, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 27 + 327 = 0. Solve -10 = -4*i - o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 325\/3 + -3644\/33. What is the common denominator of 44\/73 and p?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5080 by 5.\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 + 19 - 69 + 48 - 19*o.\nAnswer: -2*o**3 - 19*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -97 - -224. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 13*f - 36. Let a(c) = -c + 3. Let m(i) = -24*a(i) - 3*v(i). Let u be m(2). What is the highest common divisor of 150 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -11 + 1179 + 334979*w**2 - 100*w**3 - 327759*w**2 + 5824*w = 0.\nAnswer: -2\/5, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b*n**2 - b*n + 21*n**3 - 456*n wrt n.\nAnswer: -2*b + 126*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 15*w - 12*w + 0*w**2 - 200 - 43*w.\nAnswer: -2*(w + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o*o\/((o**(2\/7)*o)\/o)*o)*o**12*o)\/((((o\/((o*o*o*o**(1\/4)\/o*o)\/o))\/o)\/o)\/o)**(3\/20) assuming o is positive.\nAnswer: o**(6677\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.4, 2, -1\/4, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + l - 20598, -1450*r - 4*l = -1447*r - 20580. Which is smaller: r or 6867?\nAnswer: 6867","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.13 + -0.45. Let d = -0.02 - w. Let m = -2.8 + 0.8. Which is the smallest value? (a) d (b) m (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154686744 is divided by 4444.\nAnswer: 4436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1016550 divided by 56475\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -21995.3 to the nearest 100.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -3064, -2\/7, -951 in decreasing order.\nAnswer: -2\/7, -3\/5, -951, -3064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*k**5 + 2*k**5 - 4*k**5 + 6*k**5 - 14*k**5 - 4*k**5 + 6*k**5 - 4*k**5 + 10*k**5 + 2*k - 2*k - k**5 + (-4*k**3 + 3*k**3 - k**3)*(k**2 + 2 - 2).\nAnswer: 2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/144 and -145\/275004?\nAnswer: 1100016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/8, 811 in increasing order.\nAnswer: -1, 1\/8, 811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10, 25, 76, 137, 202, 265, 320, 361?\n\"Answer: -u**3 + 14*u**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**2 - 3640*t - 1098077. Let g(o) = -66*o**2 - 80085*o - 24157695. Let z(r) = -2*g(r) + 45*q(r). What is u in z(u) = 0?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16.92 + 17. Let x = -1.08 + c. Which is bigger: x or -12?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1789, 2378, 2979, 3592, 4217, 4854?\nAnswer: 5503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + k + 3. Let z be 3 + (-5)\/((-10)\/(-6)). Let y be g(z). Suppose 5*p - 23 = 2*v, 2*v - 16 = -y*p + v. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144522296207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.46 - -0.24. Let s = q - -5.22. Let f = 19\/6 + -53\/18. What is the closest to 2 in s, -0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -u - 5*p, 5*u - 67 - 52 = -3*p. Calculate the remainder when u is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 8*a + a + 105. Let l(d) = 3 + 2*d + 24 + 35. Let w be l(a). Calculate the greatest common divisor of 100 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1176 - 252517?\nAnswer: -253715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 44*q + 8. Let w(x) = 15*x + 3. Let i(c) = -c**2 - 2*c + 21. Let o be i(4). Determine o*r(b) + 8*w(b).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2700201578.00000038 - -2700201544. Let t = 34 + x. Round t to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5019*n + 25611*n + 14312*n.\nAnswer: 44942*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (63\/14 + -2)\/(1\/278) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7806 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254216174?\nAnswer: 2, 239, 531833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-16)*d*d*d**(-16)*d*d)**(-48) assuming d is positive.\nAnswer: d**1296","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 10:15 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -9. What is the second derivative of -5*q + 58*q**y + 2*q - 59*q**4 wrt q?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-108 - 3101296*w + 2*w**2 + 3101292*w - 207)*(-2*w**2 - 2*w**2 + 5*w**2) as c + b*w**3 + k*w**2 + a*w + l*w**4 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.469 and -3.\nAnswer: -1.407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/(1740\/40))\/(28\/(-3))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -110*d + 108*d + 6, -3*j - 11*d - 6 = -0*j - 9*d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 4. Let g be o(2). Suppose -k = -g - 3. Suppose k*y = 2*y + 3600000. Round y to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 87, 68, 41, 6, -37?\n\"Answer: -4*r**2 - 7*r + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4702 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*q + 10336 = 531. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4770*m - 219112. Give o(46).\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 503095639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(847) + -1 - (sqrt(847) + sqrt(847) + 0 + sqrt(847) + -2))**2 - -2*((sqrt(847) - (1 + sqrt(847))) + sqrt(847))*-2.\nAnswer: -176*sqrt(7) + 3401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 5*b**2 + 7*b - 1. Suppose -4*l + 24 = -0*l. Let a be w(l). Let y(t) = 7*t. Is 9 a factor of y(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 1, 48.\nAnswer: -24, 1, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 7:32 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-270*w**4 + 912*w - 912*w)*(-23 + 21 - 10).\nAnswer: 3240*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -532339\/1074942 - -3\/10858. Let r = 3\/11 + f. Which is the smallest value? (a) 2\/11 (b) -0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**4 + i**3. Suppose 6*h + 8 = -2*h. Let a(d) = -20*d**3 + 15*d**2 + 15*d - 10. Let k(f) = h*a(f) + 15*t(f). Factor k(m).\nAnswer: -5*(m - 1)**3*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5 + 1 = 0. Suppose k + 18 = -z*n - 41, 4*n + 39 = -5*k. Is 36 a factor of 1*(n - 0)*-13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -7*d + 3*d. Let w = -0.37 + 0.07. Let z = -438.7 + 439. Sort d, z, w.\nAnswer: d, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*w**3 - 124*w**2 - 680*w - 800.\nAnswer: 4*(w - 20)*(w + 2)*(2*w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1939681 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**3*w*y + 4*t**3*w + 8473*t**3*y**3 - 2*t*w*y**2 + t*y**3 + 1802*t*y wrt y?\nAnswer: 50838*t**3*y - 4*t*w + 6*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 1399.\nAnswer: -11\/1399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-1*(sqrt(343) + sqrt(343)*2) + sqrt(343)) - (1 + sqrt(28)*-5*6))*3)**2.\nAnswer: -72*sqrt(7) + 1017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -612 - -596.4. Let c = -9.6 - y. What is the closest to -0.13 in 0.5, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, l: 1, s: 1, n: 1, x: 2, d: 2}. Give prob of sequence sxxd.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 3, -1 in descending order.\nAnswer: 3, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6*n - 2. Let x be w(-1). Let q be (364 - 3)\/(0 - -1). Suppose -x = -y - y, -4*y + q = r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*r**4 - 3 + 3 + 3*r**4 + (-r + r**2 + r)*(r**2 - 3*r**2 + 4*r**2) + (3*r - 2*r**2 - 3*r)*(4*r**2 + 0*r**2 - 2*r**2) - 2*r**4 - r**3 + r**3.\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*g - 68 = 0, 0 = -5*u - 2*g - 149 + 82. Which is the closest to 7? (a) u (b) 2\/9 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 j, and 2 n when four letters picked without replacement from {a: 1, j: 2, n: 2, b: 4}.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 8*r**2 + 145*r + 619. Determine u(-6).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*s**2 - s + 14*s**2 + 10*s**2 - 11*s**3 - 33*s**2 as v*s + m + l*s**2 + z*s**3 and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/23 (b) -0.2 (c) -627 (d) -5 (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*r - 369 + 369.\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -137088427175 minus 0.14?\nAnswer: -137088427175.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1493 + 3325. What are the prime factors of k?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 603690 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 + 73*g + 59*g - 132*g.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 296\/60*3 - 2\/(-10). Let q be -1 - (t - 0)\/(-1). Suppose -15 = -x + 83. Calculate the greatest common divisor of q and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**3 + 9*o - 9. Let b(m) = m**3 - 4*m + 4. Let s = -2 - 7. Determine s*b(y) - 4*j(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 15 = -12. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17065 rounded to the nearest 10?\nAnswer: 17070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5 + -1*(sqrt(112) - ((sqrt(112) + 1*-2*sqrt(112) + sqrt(112) - sqrt(112)) + sqrt(112))))**2*5.\nAnswer: -200*sqrt(7) + 680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/4 - 10275383*j\/2 - 105583495796689\/4.\nAnswer: -(j + 10275383)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x - 1 + 1. Solve x = 3*w + w + 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide ((-5)\/((-30)\/352))\/(1\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 0 + 19*k**2 + 1\/120*k**6 + 1\/24*k**4 + 1\/20*k**5 + 2\/3*k**3 + 0*k. Determine f(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98 + 557 - 33)*(-2*p + p + 3*p).\nAnswer: 1244*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*c + 48*c + 144 = 0. Calculate the greatest common factor of 90 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 8:55 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/71)*((z**22\/z)\/z)\/z*z*z assuming z is positive.\nAnswer: z**(1489\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 3 - 1. Suppose j + 7 = -2*z + 4*x, -5*z + 4*x = 20. Let a be ((-310)\/(-70) - 4) + (-11)\/(-7). Put a, 4, z in decreasing order.\nAnswer: 4, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (4 + (2 + sqrt(539)*1 + -1 + 3*sqrt(539))*-4)**2)*-1.\nAnswer: -137989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -361, -463, -577, -703, -841, -991?\n\"Answer: -6*t**2 - 84*t - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00257656 to 4 dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c = -18*c - 144. Suppose 8*f + c = 26*f. Let s(j) = j**3 - 5*j**2 - 6*j + 6. Determine s(f).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 7. Let z = 5 + -9. Let s = 3 + z. What is the closest to -1 in 1\/3, s, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 760\/40) + 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 - 2*s + 1. Let m(h) = -19*h**3 + 7*h**2 + 7*h - 4952. Let o(j) = 5*k(j) + m(j). Find the first derivative of o(u) wrt u.\nAnswer: -27*u**2 + 14*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 530 and 10410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 5*o. Let z(s) = s - 1. Let q(u) = -g(u) - 3*z(u). Let r be q(8). Solve r*c + c = -4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61 and 11651.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 3 + 2. Let q = -1 + 0.7. Let u = 4.01 + -0.01. What is the biggest value in r, u, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 9. Let d(j) = j**2 - j - 4. Let b be d(a). Let l = b - -21. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 4:23 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -12.\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1684, -2, -8 in descending order.\nAnswer: 1684, 0, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 544 divided by -34.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -330, -13 in ascending order.\nAnswer: -330, -13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*-3*(2 + sqrt(468)))**2.\nAnswer: 864*sqrt(13) + 16992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -12*(-1)\/(-3 - -2). Let h = 26 + a. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -43926*w - 131778. Determine i(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-676)\/143 - (-23 + 18 - 0))?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 618*i - 22822. Let g be z(35). Let c = -2 + 6. Suppose 487 = 3*b - c*k, 2*k = 2*b + 3*k - 332. Calculate the highest common factor of b and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -658 + 2002. Is 42 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3859590 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 17. Which is the third smallest value? (a) 3\/2 (b) 5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 17 + 27*k.\nAnswer: 27*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of u**7\/1260 + u**6\/108 + u**5\/60 - u**4\/4 + 2*u**3 + 7. Let o(f) be the third derivative of j(f). Let o(d) = 0. Calculate d.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 241357026 + -3?\nAnswer: 241357023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 30 + 3*q + 13)*(-1 - 2 + 2)*(-17*q**3 - 16*q**3 + 15*q**3)*(4 - 2 - 1) to the form z + g*q**4 + j*q**2 + c*q**3 + u*q and give c.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/1)\/44)\/((-9)\/(-36))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a microgram in nanograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 14*u - 11*u - 17, 0 = -3*d - 2*u + 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/2)\/f*f*f**(2\/5))**(-10\/9)*(((f*f**5*f)\/f)\/(f*(f\/(f\/(f**(-1\/6)\/f)))\/f))\/(f**(2\/7))**14 assuming f is positive.\nAnswer: f**(79\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/11 in 0.5, 1\/3, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y - 5. Let p be v(-3). Suppose 0 = p*l - 3*l - 2. Suppose -16 = -5*f - k, -l*f + 6 = -f + 3*k. Solve f*d - 1 = -13 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 249 - 248.9. Which is smaller: x or 3\/67?\nAnswer: 3\/67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*i - 26*i + 5*g + 2061, 2*g + 1544 = 3*i. List the prime factors of i.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -117, -211, -303, -393?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times 4883.9523?\nAnswer: 3418.76661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 5*h - 2*i - 283, -h + i = -87. List the prime factors of h.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33846.\nAnswer: 2, 3, 5641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (7 + (-107)\/(-8) + -3)) + 8.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 4 - 6)*(2 - 2 + m) + 0 + 2*m + 0 + m - 2*m - m + 0*m + 0*m + m + 4 + 10*m - 18*m + 10*m to t + f*m and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2311 (base 4) in base 13?\nAnswer: -10c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112122022 + -100?\nAnswer: 1112121222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 10*q**2 + 11*q - 13. Let l be a(9). Suppose -s = -l*s + 472. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000032881553 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 472194 and 24?\nAnswer: 1888776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-49 + 49)*(-2)\/2. Solve s*x - 2*q + 2 = x, 3*x - 5*q + 5 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16977*p**2*q**3 - 3*p**2 - p*q**3 + 12*p*q - 772*q wrt p.\nAnswer: 33954*q**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -2. Let o be 6 - ((-9)\/15 + (-54)\/(-15)). Solve f + f + o*p + 5 = 0, q*p = -15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 2*g**2 + 2*g**2)*(3 - 3 - 2) - 31 + 16 + 4*g**2 + 17 + (-g + 14*g - 3*g)*(3 + 2*g - 3).\nAnswer: 28*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 67*u**2 + u - 1. Is 14 a factor of r(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 + (-6 - (-6)\/2). Suppose -16 - 4 = -u*a. Suppose -20 = 3*v + v + 2*l, -a*l = v + 23. Is -1 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncxcxaalclccxxcc. What is prob of picking 1 x and 2 l?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4116*n**2. Let u(v) = -9*v**2 - 5*v + 20. Let r(o) = 11*o**2 + 6*o - 24. Let g(c) = 5*r(c) + 6*u(c). What is g(q(w))?\nAnswer: 16941456*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 270 + 490374\nAnswer: 490644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + a - 1. Let q(h) = 9*h**2 - 3. Let m(l) = 6*n(l) - q(l). Let m(r) = 0. What is r?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20834416 to the power of 1\/3, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 694680 and 840.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) 4\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 1116*h - 77083. Give d(-74).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 3*b - 2*b - 346, 3*m - 205 = 2*b. Calculate the greatest common divisor of m and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*u - 116*u = -1200 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3 and 675\/657650*20\/(-12).\nAnswer: 26306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -10*l - 20. Let z(j) = 50*j + 98. What is -16*c(m) - 3*z(m)?\nAnswer: 10*m + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k + 472. Calculate b(-79).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 1.2055, 1\/3, -0.105?\nAnswer: 1.2055","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**9\/3780 + a**8\/1680 + 2*a**7\/315 - a**6\/45 - a**4\/6 - a**2. Let c(n) be the second derivative of x(n). Factor c(l).\nAnswer: -4*l*(l - 2)*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((2 + 7 - (0 - 1)) + -7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73158 is divided by 159.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 37206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -2\/31, -2\/3, 6 in ascending order.\nAnswer: -2\/3, -2\/31, 4\/9, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a*w**4 + 108428*a*w**3 - 50*a*w**2 + 4*a*w + 2*a + w**6 - 16*w**2 - 6*w wrt w?\nAnswer: -72*a*w + 650568*a + 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 35 = 3*c. Suppose 2*p - c*p = -35. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107519 divided by -3\nAnswer: 107519\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 5, o: 8}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -82\nAnswer: 5\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**4\/24 + 2*f**2. Let g(t) = 15*t**2 - 13*t. Let w(h) = 7*h**2 - 6*h. Let i(b) = -6*g(b) + 13*w(b). Give j(i(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 0. Suppose -3*j + 12 = c*f, -3*f + 2*j - 2 = -2*j. Let q = -13 + 18. Solve -q*d = -3*k + 2*k + 24, 0 = -f*d - 10 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 15. What is the remainder when 44 is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, 0, -51\/5 in decreasing order.\nAnswer: 0, -2\/19, -51\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 243 + 64. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -80763192, -1 in ascending order.\nAnswer: -80763192, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 15 = -4*l. Suppose -l*i = -2*i - 30. What is the remainder when i is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2558858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 5, -1, -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**3 + 53*h**2 - 36*h - 12. Let f(q) = -q**3 + 13*q**2 - 9*q - 3. Let z(l) = -9*f(l) + 2*r(l). What is z(10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 310.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 151480 by 18935.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -70352 greater than -70352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - w)*(116 + 94 - 173).\nAnswer: -37*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-1 - 1*2). Let p be 15 - (-4)\/(-3 - -1). Suppose 0 = -6*c - 1 + p. Solve 4*b + 4*n = 0, c*n = o*n for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -2*u - 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - ((3 - 2) + 1). Suppose -c*t - 3*q = -10, -t + 3*q + 0*q = 5. Solve 4*s + 2 - 5 = b, -t = -4*s + 3*b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23, 13, 83, 193, 349, 557?\n\"Answer: p**3 + 11*p**2 - 4*p - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-368)\/(-100) + -4)\/((-1520)\/(-100) + -16)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 + 36 - 8 - 11 - 16 - 7*l**4 - 2*l**3 in the form y*l + u + j*l**2 + h*l**4 + t*l**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, j: 4, l: 5, k: 3}. Give prob of picking 1 x and 1 l.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42720534?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbtbbtbbbbtbbbb. Give prob of picking 2 b.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + j + j - 53035 - 52840.\nAnswer: 2*j - 105875","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2912481483?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3*g**2 + 47661*g - 4361994 = 0.\nAnswer: -15978, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n + 427 = -332 + 451 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*u - 2 = 0, -4*u + 25 = u. Let p = -21 - -206. Let l be (-1)\/(0 + (-5)\/p). Solve -3*x - l = i*w + 3*w, 3*w = -15 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 30. Suppose 0 = -f - 4*q - n, -2*f - 3*f + 4*q = 6. Calculate the remainder when (432\/(-40))\/(f\/5) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/15 - (-2)\/10. Let f(y) = 2*y + 3. Let j(h) = 4. Let u(z) = 1. Let q(m) = -j(m) + 3*u(m). Give w*f(c) - 4*q(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74712.\nAnswer: 2, 3, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1655\/4 - 845\/2. Let x = 7978\/5 - 1590. What is the common denominator of x and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -787184*i**3*v + 13*i**3 + 84682*i**2*v - 4*i**2 + i - v + 1 wrt i.\nAnswer: -4723104*v + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5134 and 83654.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -73\/120*v**6 - 77\/12*v**4 + 0*v + 0*v**5 + 0 + 47*v**2 + 0*v**3. What is the second derivative of a(z) wrt z?\nAnswer: -438*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-6)\/(-4))*(-2 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 14*r**2 + 2*r - 24. Let y be i(14). Suppose 4*z + 0*t - 15 = -3*t, -2*z + 2*t = -4. Sort z, 0, y in descending order.\nAnswer: y, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 <= -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -2)\/7 - ((-3300)\/(-70))\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(448) - -2*sqrt(448)))*3 + 4)**2 - (sqrt(70)\/sqrt(5)*-1)\/(sqrt(162)*1).\nAnswer: 12961*sqrt(7)\/9 + 36388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -263200 divided by 7520.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -17*h**2 - 5*h + 25. Let q = -147 - -139. Let s(g) = 25*g**2 + 8*g - 37. Let v(z) = q*l(z) - 5*s(z). What is the first derivative of v(d) wrt d?\nAnswer: 22*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38.644 - 0.1.\nAnswer: -38.744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6213 + -6211. Let y = 2 - 1. Which is the third biggest value? (a) 5 (b) y (c) -0.04 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25616293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 35 + 10. Let l(j) = j**3 - 15*j**2 - 4*j + 20. Let b be l(n). Calculate the common denominator of 61\/2 and (-3 - 118\/b)*39.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -27057 (b) 1 (c) -35 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 4. Suppose -2*g + 110 = 9*g. Solve 2*w - 7*w + 45 = -5*p, 5*w - g = -q*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*3\/(-2)*((-58344)\/(-198))\/(-221).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = a + 3*j, 0 = a - 3*j + 4*j - 141. Let n(m) = 7 - a*m + 134*m - 3. Let o(b) = b - 2. Let h be o(5). Determine n(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/8*f**4 - 157\/8*f**2 - 153\/4 - 25\/8*f**3 - 375\/8*f.\nAnswer: -(f + 2)*(f + 3)**2*(f + 17)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4604448.\nAnswer: 2, 3, 47963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22153 + 146698. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (4 - 76\/14) - 1\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -89 - (-1 - (-38 + 72))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**2 + 3*g + 15. Let f(y) = 2*y**2 + 2*y + 7. Let p(z) = -7*f(z) + 3*r(z). Let n be p(-2). Put -5, 7, n in descending order.\nAnswer: 7, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72\/5 + 782\/55. Suppose 0 = 5*p - 10, 2*x - p = 3*p + 70. Let u = x + -36. What is the smallest value in s, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24 + (-39)\/(351\/210). Let u = -6 + 4. What is the closest to -0.1 in u, -0.09, d?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1233241678 to the power of 1\/2, to the nearest integer?\nAnswer: 35118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v = 30*v - 12. Let s be (-1)\/(-6 + v + (-222)\/(-56)). Calculate the greatest common divisor of 476 and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 3)*(-6)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 2 - 5 + p**3 - 2*p**2 - 4*p. Let g be m(4). Let s be (-20)\/(-12) - 1\/g. Solve -b - 10 = 3*v - 4, -2*v = s*b + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f = 48. Let u = -536.3 + 536.3. Which is the second smallest value? (a) 3 (b) f (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l**5 - 320*l**4 + 648*l**3 + 5344*l**2 - 14976*l - 3584 = 0.\nAnswer: -4, -2\/9, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4, 12, 54, 148, 312?\n\"Answer: 3*c**3 - c**2 - 10*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 + 7 - 3 - 84083*d**3 - 84023*d**3 + 0*d**2 + 167914*d**3 + 2*d to the form b*d**2 + o*d**3 + u*d + q and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 4 - 17*z + 19\/2*z**2. What is the first derivative of a(k) wrt k?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*u - 150, -10 = o - 3*o. What is the units digit of u\/(-25) + (-6)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -19, -30, -61, -118, -207, -334?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*5*((sqrt(252) - (sqrt(252) - (sqrt(252)*2 - sqrt(252)))) + 5 + (sqrt(252) + -1)*3)*-6.\nAnswer: -3600*sqrt(7) - 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 122*t + 204. Does 11 divide r(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*y = -12, 0 = -l + 5*y - 3*y - 8. Let s = l + 9. Suppose 6*b - 216 = s*b. Round b to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**7)\/o)**(-29\/4)\/(o*o\/o**(-26)*o**26))**(-1\/6) assuming o is positive.\nAnswer: o**(13\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-121)\/(-18) + (-4 - -2 - 5). Which is the third biggest value? (a) 1 (b) -1\/3 (c) 5 (d) n (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406093400 rounded to the nearest 1000000?\nAnswer: 1406000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -77, -57, 5, -5 in ascending order.\nAnswer: -77, -57, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, b: 7, j: 11}. Give prob of sequence jrb.\nAnswer: 77\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, l: 1, j: 2, o: 2, z: 1, n: 2}. What is prob of sequence znoj?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 30?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-11 - (9 - 17 - 16)) + 57\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -m - u + 27, 0 = 3*m + 2*u - 76. Let l = -13 - 0. Let n = m + l. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -41*z**6\/30 - z**5\/4 - 782*z**4\/3 + 2*z - 859. What is the third derivative of x(p) wrt p?\nAnswer: -984*p - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 7:10 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -7*d**3 + 4*d**2 - 5*d. Let m(f) = 3*f**3 - 2*f**2 + 2*f. Let w = -7 - -21. Let y = w + -9. Determine y*m(h) + 2*r(h).\nAnswer: h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1570 - 1356. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from {e: 1, t: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 607*y - 4082 + 1372 = 415*y + 463*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.8? (a) 1\/10 (b) -8 (c) -2\/25 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6912826\/(-525501)*2058\/(-8). Let i = x - -10\/58389. Let u = i + -3383. Calculate the common denominator of 59\/22 and u.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + -3 + 1 - 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 580 = -77*x - 68*x. Which is the third biggest value? (a) -2 (b) 48 (c) 0 (d) 2\/3 (e) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 5.26.\nAnswer: 21.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36304998, 72609996, 108914994, 145219992, 181524990?\nAnswer: 217829988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2236 and 1548.\nAnswer: 20124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*f**3 - 9*f**3 + 7*f**3)*(236*f - 233*f + 202*f).\nAnswer: -3690*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.29 and 21.16.\nAnswer: 6.1364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -460 - -9053. Suppose -m + 2963 = -5*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g + 269 + 2*g - 68 - 9*g in the form l + z*g and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 361, 504, 743, 1078, 1509?\n\"Answer: 48*a**2 - a + 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h - 2*m = -13, -5*m + 27 = 2*h. Let s be (1 - h)\/(-31 - -29). Solve -2*u = -s*u - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 (base 11) to base 9\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 10:20 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x = 0. Let m(c) be the second derivative of -2*c + 0 + 1\/12*c**4 + 1\/6*c**3 - 5\/2*c**2. Calculate m(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 13*f - 129. Let d(l) = -l**2. Calculate h(d(s)).\nAnswer: -13*s**2 - 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12\/10*27255\/138 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-114)\/(-741))\/((-18)\/(-13))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 11. Which is smaller: m or -13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1212 is divided by 174.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 5:41 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16964454*c*j + 17972201*j with respect to c.\nAnswer: 16964454*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/520 and 33\/16.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341*m + 620*m - 34656 = 49*m for m.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 8192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 6*d + 2. Let f be m(-6). Let k(h) = 13*h**2 - 4*h**2 - 7*h**f. Let g(y) be the third derivative of 7*y**5\/20 - 50*y**2. Determine k(g(j)).\nAnswer: 882*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.915 - -13.915. Let s be (258\/14)\/(84\/147). Which is smaller: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15065 is divided by 214?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 11*f - 21 + 11 + 5 + 11 to u*f + b and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r + 32. Let o be a(-16). Put -3, -4, o in increasing order.\nAnswer: -4, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -232406, -464810, -697214, -929618, -1162022, -1394426?\n\"Answer: -232404*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 3 (b) -5 (c) -0.3 (d) 0.04398\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 13*x. Let z(h) be the third derivative of 7*h**5\/3 + 849*h**2. Calculate z(f(l)).\nAnswer: 23660*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 5:37 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3911 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 0*k**3 + 0 + 0*k**4 + 4*k + 3*k**2 - 1\/4*k**5. Differentiate x(c) wrt c.\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*s + 571440 - 87285, 5*q = -4*s + 605245. Let p = -170045 + q. What is p rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 3*z - 2. Let h(y) be the first derivative of -2*y**3\/3 - 3*y**2 + 5*y - 43. Give 5*d(t) + 2*h(t).\nAnswer: t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**2 + 3*x - 2. Suppose 3 - 7 = 2*h. Let k(c) be the first derivative of -4*c**3\/3 + 2*c**2 - 2*c - 2. Let a(f) = h*k(f) + 3*o(f). What is a(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**3\/7 - 566092*r**2\/7 - 323488*r - 2264432\/7 = 0 for r.\nAnswer: -2, 141527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 3*p + 0*p + 13 = 0, 2*p + 3 = -5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -38\/5, 0, -2\/15, 2\/1352933?\nAnswer: 2\/1352933","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*q + q + 6*q + 11*q**2 + 74*q + 2 - 2.\nAnswer: 11*q**2 + 13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -7*z. Suppose -13 = -3*v - 2*k - 5, z = -4*v - 4*k + 8. Suppose 5*g - 1 = -5*b + 34, -v*b + 34 = g. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.219 - -3.781. What is the nearest to -6 in z, 5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 129\/54 + (11 - 9) and 145\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -183*l**3 - 4*l**2 - 14*l - 8. Let w(q) = 183*q**3 + 5*q**2 + 15*q + 11. Let s(n) = 5*g(n) + 4*w(n). What is the second derivative of s(f) wrt f?\nAnswer: -1098*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i**2 + 2*i**5 - 2*i**2 - 3*i**2 + 0*i**5 - i**5 - i**5 + (-2*i**2 - 2 + 2)*(2*i**3 - 4*i**3 + 3*i**3) + 9*i**5 + 7*i**5 - 2*i**5.\nAnswer: 12*i**5 + i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*-1*1\/3*-9. Solve n = -6 + c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5*v**3 - 2*v**2 + 8*v + 4. Calculate r(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2*c**3 - 49073*c + 49073*c + 9*c**2.\nAnswer: 2*c**3 + 9*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10678*u**3 + 10635*u?\nAnswer: -64068*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**5\/4 + 95*i**4\/6 - 205*i**3\/2 - 129*i. Factor a(g).\nAnswer: 5*g*(g - 3)*(g + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5246 and 559?\nAnswer: 68198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 7. Let x be w(5). Suppose 0*j = -x*j - 10, -t + 13 = -2*j. Suppose t*k - 22 = 2*n, 4*n - 5*k = 4 - 44. Sort 2, -4, n in decreasing order.\nAnswer: 2, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 6:09 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11175533560 rounded to the nearest 1000000?\nAnswer: -11176000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 6. Let k(r) = -9*r - 2. Let y be k(v). Suppose 2*n = x + 30, -2*n + 12 = -2*x - y. What is the lowest common multiple of 20 and n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2*u**2)*(-287*u + 516 - 516) - 2*u + u**3 + 2*u)*(-u + 0*u - u).\nAnswer: 1146*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -29*l - 108. Let p be w(-10). Calculate the highest common divisor of 52 and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**2 + 11. Let l(n) = 2*n**2 - 6. Suppose 3*v + 4*w = 0, 7 = 5*v - w - 16. Calculate v*q(p) + 7*l(p).\nAnswer: -2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*m**2*t**3 - 10*m**2 + 1604*m*t**3 + 8*t**3 + 28541*t**2 - 4*t - 1 wrt m?\nAnswer: 8*m*t**3 - 20*m + 1604*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12814312 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (1 - -3) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 31*o**2 - 103*o + 132. Give g(-27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 125301?\nAnswer: 1\/125301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*f = -1175 + 265. Is 28 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9603\/16 + 2391\/4. Let h = 3339 + -140. Let d = h + -121661\/38. Calculate the common denominator of d and p.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5749132 is divided by 249959.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5936320 and 913280?\nAnswer: 11872640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2385*f**3 + 465958*f - 465958*f + 2386*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/(-7))\/48*9\/(135\/(-20)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**2 - 1150*z + 1150*z to the form d*z**2 + r*z + s and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at least 23111473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -7. Calculate the remainder when (2\/2 + 1)*1 is divided by (j - 10\/(-4))*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/11)\/y)\/(y\/y**(2\/15))*y**4*y**(-9\/4) assuming y is positive.\nAnswer: y**(-197\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11690 - 20531 = 814*o - 11090 + 16313 for o.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}