diff --git "a/data/dm_maths/full_data_1/1680_11255.jsonl" "b/data/dm_maths/full_data_1/1680_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1680_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -236 = -19*a - 122. Let i(v) = v**2 - 8*v + 4. What is i(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1 - 9 + 0 - 11*r**2 wrt r?\nAnswer: -22*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336297125 >= 336297118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -8 + (-8 - (-2 + -2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*c = 91*c - 8882 - 2395. What is the greatest common divisor of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 145895810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 446, 296, 59.\nAnswer: 59, 296, 446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 13*h + 0*h**4 + h**4 - 3*h**4 + 2*h**2 + 11*h to j*h**2 + f*h**3 + t*h**4 + s + z*h and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343)*2 + sqrt(343) + 2 - sqrt(343)) + -5 - (sqrt(343) + -1)*-3*4)**2.\nAnswer: -2940*sqrt(7) + 67453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2260 divided by -452\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/2 of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21940450 is divided by 5106.\nAnswer: 5074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.23 + -4.77. Suppose 3*c - 46 = -5*j, -4*c - 3*j = 2*j - 68. Let w = c + -83\/4. What is the nearest to -1\/5 in -2\/17, n, w?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009418 rounded to four decimal places?\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -201 + 62. Let t = n - -139. Suppose 2*o = -o - 4*y - 21, 0 = -3*y. Sort -1, o, t in increasing order.\nAnswer: o, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 12, -0.5, -1\/3 in decreasing order.\nAnswer: 12, 8, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*g + 0 + 1\/4*g**2 + 1\/4*g**3.\nAnswer: g**2*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 114\/11? (a) -2 (b) 3 (c) -4\/5 (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 14. Let o(h) be the third derivative of -h**6\/120 - 7*h**5\/60 - 7*h**4\/24 - h**3\/3 - 6*h**2. Let r be o(p). Solve 0 = -n - r - 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18740*h**2 - 35*h - h**3 - 19*h + 18738*h**2 + (0 - 2*h + 0)*(2*h**2 - 2*h**2 + 3*h**2).\nAnswer: -7*h**3 - 2*h**2 - 54*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3077 - 856. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + ((2*sqrt(80)*6 + sqrt(80)*-1*6)*-3*6)**2).\nAnswer: 3732460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*x = 3*n - 66564, -133144 = -2*n - 2*x. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + (sqrt(20) - sqrt(320))*-4)\/(-2*sqrt(64) + sqrt(4) - sqrt(4)).\nAnswer: -13*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(((-42)\/(-8))\/7). Let k = 17 - m. What is the remainder when k is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**3\/4 + 249*n**2\/4 - 85266*n - 1724220 = 0. Calculate n.\nAnswer: -372, -20, 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 93*f + 152. Is i(6) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 - 0.3. Let h = -1.2 + v. Let n = -603\/5 + 121. What is the closest to n in h, -3\/2, 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*v - 7 = 21, -2 = 4*t + 2*v. Suppose 0 = -4*n - 5*w + 7, n - 4 = -t*n - 5*w. Solve -2*o + n*o - 1 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11907582*h**2 + 4*h - 240190709?\nAnswer: -23815164*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 391*o**2 + 4*o. Let h be f(-2). Suppose 0*y - h = -2*y. Suppose -2*q = -5*n - y, -1173 = -2*q + 3*n - 403. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -29*d - 4. Let u be ((-12)\/(-2))\/((-18)\/(-12)). Let k be p(u). What is k rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 11*a**2 - 7*a - 32. What is j(-10)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50.531*1.\nAnswer: -50.531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-5\/9)*r*r*r\/(((r**(-4\/5)*r)\/r)\/r)*r**26\/(r**(-4)\/r) assuming r is positive.\nAnswer: r**(1586\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 + 11*a. Let u be w(5). Suppose 0 = -r + u + 42. List the prime factors of r.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(8\/5)*q*(((q\/((q\/(q\/(q\/(q*q\/q**(-12)))))\/q*q))\/q)\/q)\/q)\/(q**14\/(q**(-3)\/q*q)) assuming q is positive.\nAnswer: q**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 - 9016*y**2 + 4616*y**2 + 4400*y**2 - 3*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, k: 6, h: 1, q: 3, n: 1, c: 1}. What is prob of picking 2 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96075 and 6405.\nAnswer: 96075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b + 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m*m\/(m\/(m**(-1\/16)\/m))*m*m)\/m)\/m**(2\/19) assuming m is positive.\nAnswer: m**(861\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 163715*l**4 + 90382.\nAnswer: 654860*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*b - 4*u = 276*b - 36, -5*u = 12*b - 53*b + 912 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6448807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, a: 11}. What is prob of picking 3 a?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -15*n + 17*n. Solve -4*i + 26 = -2*z, -4*z - z = n*i + 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12002 (base 5) to base 14\nAnswer: -469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 10. Let h = 9 + z. Suppose -10*n = -16*n. Solve n = -5*s + h + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 247671 and 4540635?\nAnswer: 13621905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13805223*i*o**3 - 25*i*o**2 - 2*o**2 - 4*o + 15137 wrt o?\nAnswer: -82831338*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(242) - (4 + -1*sqrt(242) + sqrt(242)) - sqrt(242))**2*2*-2 + -1*(5 + (sqrt(242) - (sqrt(242) - -1*sqrt(242)))**2)*6).\nAnswer: 7730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/24, 1, -3?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104724 and 324?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-459 + 458)*(-2 + 46).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 10 = -2*i. Let b(z) = 4 - z - 3 - i + 0. Let t(c) = -7*c - 11. Let m(v) = 4*b(v) - t(v). What is m(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 5:43 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 4*n + 7. Let p be t(-8). Let b = -24 + p. Solve c = -2*c - b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1492, 1561, 1690, 1885, 2152, 2497, 2926, 3445?\n\"Answer: k**3 + 24*k**2 - 10*k + 1477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*sqrt(1900) + -3 + 5 + 2 + -3*(sqrt(1900) + sqrt(1900)*-2))**2 + 4.\nAnswer: 160*sqrt(19) + 7615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 23019*k**2 - 46052*k**2 + 22791*k**2. Let f(s) = 4*s**2. Determine v(f(r)).\nAnswer: -3872*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fn when two letters picked without replacement from jijhfxinx?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9346 is divided by 9333.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 j when three letters picked without replacement from ojooooooojo.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283760, 1135017, 2553770, 4540013, 7093740, 10214945, 13903622?\nAnswer: 18159765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142366, -569605, -1281704, -2278657, -3560458, -5127101?\nAnswer: -6978580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2973, 12361, 28007, 49911, 78073, 112493?\nAnswer: 153171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -365706, -366990, -369128, -372120, -375966, -380666?\nAnswer: -386220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 134945\/908 + 30\/227. Which is greater: 149 or n?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - n + 3*n + 3120034 = 0, -1559987 = 2*w - 5*n. Let u be (-1 - -3) + w + 4. Round u to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.6 take away 0.3?\nAnswer: -89.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4727, -4659, -4491, -4193, -3735, -3087, -2219?\n\"Answer: 5*m**3 + 20*m**2 - 27*m - 4725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**2*d**3 - 235*c**2 + 10*c*d**3 + 639*d**3 + 15*d**2 wrt d.\nAnswer: -12*c**2 + 60*c + 3834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 7 - 5 = 0. Suppose -c*k + 18 = -6. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 11*p - 60. Let g be ((p\/10)\/6)\/1. Let s be 0\/(1 + 1 + 0). What is the second smallest value in -5, g, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 459, 923, 1389, 1857, 2327, 2799?\n\"Answer: p**2 + 461*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 0, 3*z + 0*z = -y + 512. Let a = y - 252. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9826623613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61035 and 507.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(475) + 1 - sqrt(475))**2 - (sqrt(38)\/sqrt(2) - sqrt(19))*1)*-6 + 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 6*q + 23. Let p be x(11). Let s = 88 - p. Calculate the remainder when s is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098 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: Is -25758634 equal to -25758633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1015*t**2 + 221*t**2 - 461*t**2)*(-3 + 2*t**2 + 1 - 6 - 5) as d*t**2 + j + q*t**4 + p*t + l*t**3 and give d.\nAnswer: 16315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 870\/7 + -124. Let v be -4*(9\/4)\/3. Is v less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.88 + -0.12. Let j = 14.7 - 14.7. Which is the closest to m? (a) -3 (b) 4\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 1:49 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -1195*i + 1194*i - 63, -4 = -4*i for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 95, -0.1, 0.06, 5\/6, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**6\/120 - r**5\/60 - r**4\/24 + r**3\/2 - 2*r**2. Let x be v(0). What is the highest common factor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48276650 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 530329914?\nAnswer: 2, 3, 29462773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 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: Calculate the common denominator of -42\/265 and -77\/17384.\nAnswer: 86920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39973\/7 - 37814647\/6622. What is the common denominator of -5\/86 and o?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4375165?\nAnswer: 5, 875033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 5*c**2 - 794*c**3 + 1347*c**3 + c**2 - 674*c**3 + 4*c**2.\nAnswer: -121*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*u = 104*u - 214*u - 264 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + -5)\/1*(-60)\/2. Let c be (6 + 0)*(-1 - r\/(-18)). Solve 0 = -0*a + c*a - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2619 in 2, 139, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + i - 1. Let b(a) = -a**3 + 64*a**2 - 6*a + 7. Let n(j) = -2*j**3 + 170*j**2 - 16*j + 19. Let o(k) = -8*b(k) + 3*n(k). Give h(v) - o(v).\nAnswer: -v**3 + 2*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**3 + 26*o**2 - 264 - 6*o**2 - 4*o + 244 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 23 + 1 = 2*m, -3*m + 50 = -2*f. Let q = -9 - -15. Let i = q - -33. What is the remainder when i is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 11*p**3\/6 - 7*p**2 - 10*p + 3. Differentiate c(g) wrt g.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58392210.\nAnswer: 2, 3, 5, 1946407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -701.3 + 665. Let f = -33 - n. Let s = 0.7 + f. Which is the nearest to 0.1? (a) 0.5 (b) s (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1984*s + 3514*s - 422817 = 482*s + 28623 for s.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/34*-17)\/(-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -102*z + 5. What is the remainder when x(-1) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89 - 89.1. Is b > -2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1542 + 1544. Let k = 3\/5 - 1\/10. Which is the nearest to k? (a) 0 (b) -0.05 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*v + 7 = 0, -1 = -v - 6. Let d(h) = h**3 + 9*h**2 + 8*h + 20. Does 5 divide d(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 8457407 + 18022593. Round a to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8585 minus -5?\nAnswer: 8590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 7695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(275) + (sqrt(33)\/(sqrt(3) + sqrt(18)\/sqrt(6) + sqrt(3)) - sqrt(11)).\nAnswer: 1 + 13*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 0*m**2 + 55 - 25*m**2 + 55 - 74.\nAnswer: -25*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 - 157 + 80 - 33*l.\nAnswer: -33*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -11*a**5\/20 - a**4\/4 + a**3\/3 - a**2\/2 - 3*a - 150. Determine w(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -5. Let u = 5 + f. Let y be 1\/3 + 5\/u. Solve -3*r = -5*p - 4, 3*p - y*r = r - 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -157 (base 12) to base 2\nAnswer: -11010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 divided by 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5292953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 537 + -254. Let q = -184 + j. What is the highest common factor of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -9*h + 2*h. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**4\/24 - 17*h**3\/6 + 2*h**2 + 4. Let r(b) = -4*b. Give r(f(l)).\nAnswer: 4*l + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 42658063?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -1\/3, 11, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7226178 divided by 14?\nAnswer: 3613089\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*v - 11093, -13*v - 22198 = -17*v + 2*x. What is the thousands digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2104*o**2 + 1. Let v(t) = -76447*t. Give i(v(x)).\nAnswer: -12296078574136*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f + 4. Let o be x(3). Let l(r) = 5*r - 8*r - 33 + 3. Let b be l(-11). Solve -4*q + o = -2*z - b*q, 0 = -z - 3*q + 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43\/833 or 1?\nAnswer: -43\/833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 35119837 and -0.8.\nAnswer: -28095869.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -338\/3 - -114. Let v = -1453.01 - -1455.01. What is the nearest to 0.1 in f, 0.08, v?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68*7\/(-448)*-16?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1414 (base 9) to base 7\nAnswer: -3052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*((-4)\/6)\/(-1). Let f(o) = 11*o + 4. Let g(b) = 5*b + 2. Give j*f(a) - 5*g(a).\nAnswer: -3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81094067 to the nearest integer?\nAnswer: 9005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 3 - 8. Let l(c) = -c**3 + c**2 - c. Let m be l(0). Suppose -2*b + m*b - 4 = 0. Put y, b, -1 in descending order.\nAnswer: y, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92963 (base 13) in base 8?\nAnswer: -1001605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/24 - 13\/(-6). Solve u = z*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1750.801 rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -2\/791 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 269552163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 39a2a - 1?\nAnswer: 39a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -228da?\nAnswer: -228dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7221115ug in nanograms?\nAnswer: 722.1115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24697\/6 + -4126. What is the common denominator of -19\/6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a*h*l**3 + 2*a*h*l**2 + 7*a*l + 73641*h*l**3 + h*l**2 - 13455*h - l**3 - 5*l wrt l?\nAnswer: 12*a*h + 441846*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence miii when four letters picked without replacement from {u: 4, m: 1, z: 2, i: 3}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2\/8 + (-8)\/(-32)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 406955, 813860, 1220765?\nAnswer: 1627670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -5. Suppose -b + 3 = -u*b. Suppose -b - 37 = -4*c. Calculate the remainder when 18 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 52, -15, -82, -149, -216, -283?\n\"Answer: -67*t + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 952 and 3470516?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 131401877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 72528\/(-4368) - (420\/(-78))\/(-10)?\nAnswer: -120\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-1\/7)*((b\/(b\/(b*b**(11\/5))))\/b)\/b*((b*b*b*b*(b\/b**(-3))\/b)\/b)\/(b\/b**(2\/133)) assuming b is positive.\nAnswer: b**(4703\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1761, 14088, 47547, 112704, 220125, 380376, 604023?\nAnswer: 901632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*y + 25. Let z = 6071 - 6068. Which is the closest to 0? (a) -0.09 (b) y (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*k + 2*k - 3*k.\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 o when two letters picked without replacement from {e: 2, t: 2, j: 1, c: 6, o: 6}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13221 (base 5) to base 6.\nAnswer: -4525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(((b*b*b\/(b\/b**(2\/3)))\/b)\/b)))**(1\/42)\/(b*b**(6\/5)*b**(5\/2)*b) assuming b is positive.\nAnswer: b**(-3581\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15300\/595*126\/36.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341497021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -844*x**3 - 3*x*z**3 - x*z - 212*z**3 + 76 wrt x?\nAnswer: -2532*x**2 - 3*z**3 - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = 4*q - 146. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010201112 (base 3) to base 6\nAnswer: -251405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 947706?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/7 + 6*r**3\/7 + 4*r**2\/7.\nAnswer: 2*r**2*(r + 1)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*z + 34, -29 = 2*z + 3*z - 3*t. Calculate the common denominator of 57\/16 and (z\/147)\/((-4)\/(-678)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 5:35 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*s - 117*s**3 - 5 + 118*s**3 - 2*s**2 in the form f*s**2 + x + j*s + w*s**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/(-25 - -22))\/(-1*1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 68*x**2 + 7*x - 3. Let n(r) = 57*r**2 + 6*r - 1. Let u(j) = 5*m(j) - 6*n(j). Let g(k) = k**2 + k + 4. Give 5*g(s) + 2*u(s).\nAnswer: s**2 + 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/99*-4*(-18)\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 55 = -10*o - 5*s, -s = -o - 9. Let g be (-2 - 0)*o\/4. Suppose 20 = g*y - 25. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10759 = 3*h + 5*c, 0 = h - 2*c - 0*c - 3590. Suppose -7*n + 4*n = -h. Suppose -5*s + 7981 - n = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1072*k**2*r**4 - 6661*k**2 + 13*r**4 - r wrt r?\nAnswer: 12864*k**2*r**2 + 156*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 1\/5*p**5 + 0*p**4 + 0*p**2 + 2\/3*p**3 + 0*p + 9. What is the third derivative of w(y) wrt y?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w + 12. Let c(s) = 5*s + 13. Determine -6*b(v) + 5*c(v).\nAnswer: v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-112)\/84*18\/(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9607297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 23*r**2 - 6*r + 45. Let a(b) = 2*b**3 - 93*b**2 - 44*b - 119. Let j be a(47). List the prime factors of p(j).\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*o = 20*o + 20. Solve 3*f - 2*a = -19, 4*f - 2*f + o*a = 14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 26626*w - 2982123. Calculate c(112).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*2\/75 - 0. Is p at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 10, h: 4, a: 1, y: 3}. Give prob of picking 1 k and 1 y.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 41 = -6. Is 7 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = -x. Let y(h) = -3*h**3 + 3*h**2 - 3*h + 2. Does 17 divide y(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3\/7 (b) 43\/5 (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 2*u**2 - u - 2. Calculate f(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150 + -22 + 6 + -1 + 0?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9573, 19144, 28715?\nAnswer: 38286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21084 + -20404. Put 0, -1\/2, p in decreasing order.\nAnswer: p, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1925307 to the power of 1\/2, to the nearest integer?\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -78 - 3027\nAnswer: -3105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (136\/6)\/(6\/9)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4*30\/(-72) + (-29)\/(-3) is divided by 2\/(0 - (-4)\/14).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 37*d**3\/6 - d**2 + 6*d. Let r be j(2). Factor -10*m - r*m**2 - 154*m**3 - 98*m**5 + 2*m - 212*m**4 - 64*m**3 - 40*m**4.\nAnswer: -2*m*(m + 1)**2*(7*m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**6\/180 - i**5\/60 + i**3\/2 - 2*i. Let w(j) be the second derivative of d(j). What is the second derivative of w(a) wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1575 and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -988 divided by 494?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 739\/(-25865)*7\/(-10)*(-165)\/264.\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1841152 and 1160?\nAnswer: 9205760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*y + 7254825 = 7290669 for y.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(36)\/sqrt(2))\/sqrt(6) + (1*sqrt(6))\/sqrt(2) + -1*(4 + sqrt(30)\/(sqrt(10) + (sqrt(10) - sqrt(20)\/sqrt(2)))).\nAnswer: -5 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 103, 0.5, 105\/73, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 3:17 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = 17*h + 116. Let f = -39 - h. Calculate the remainder when f is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.381 + -8.77. Let j = p - -0.389. Let r be (-4)\/(-10)*6\/4. Which is the smallest value? (a) r (b) j (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185314538.\nAnswer: 2, 92657269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1679662 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -64\/5, -0.5, 73279.\nAnswer: -64\/5, -0.5, 4, 73279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -288.12 + 288. What is the second biggest value in -1, -0.8, -0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2655720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 408 = 4*p, 7*c - 3*c = 0. Let h = -62 + p. Is 20 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/22 and -43\/314118.\nAnswer: 3455298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 5*v = -14. Let q(c) = -2*c**3 + 2*c + v*c + 5*c**2 - 2*c + c**3. Give q(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 2*a + 12. Let d = -37 + 37. Let s be t(d). Let k be ((0 - s) + -1)\/((-8)\/24). Calculate the greatest common divisor of 195 and k.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - 2b83c5?\nAnswer: -2b83b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -26041500 + 26041500 - 26682*m as q + x*m and give x.\nAnswer: -26682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/4 + 2 + 18\/(-3)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2002*l - 4011. Calculate f(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 + (-1 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4\/9 + 20*c**3 - 184*c**2 + 4528*c\/9 - 1280\/3 = 0. Calculate c.\nAnswer: 2, 6, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 + 4. Let d(q) = 7*q. Let c(i) = -i. Let w(t) = 6*c(t) + d(t). Let s be w(1). Let j(a) = -1. Calculate s*p(f) + 4*j(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r + 27 - 7*r + 2*r + 5*r to h*r + d and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.21, 3, 2\/12087, -48\/5, -2\/7?\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -4*q - 2012, -3*h = 4*q - 1225 - 319. Let b = h - 510. Put -1\/41, 3, b in decreasing order.\nAnswer: 3, -1\/41, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**5\/60 + w**4\/12 + w**3\/3 + 4*w**2. Let h be b(4). Put -2, -4, h in descending order.\nAnswer: -2, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 - 187\/4. Sort 4, -2\/23, v in ascending order.\nAnswer: -2\/23, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -7*c**3 + 15*c**2 - 9*c + 6. Let o(i) = i**3 - 3*i**2 + 2*i. Calculate -g(h) - 5*o(h).\nAnswer: 2*h**3 - h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -64?\nAnswer: -5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -33. Suppose -j = -l*j + 1. What is the tens digit of (91 - j) + (1 - (3 - 5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20399 is divided by 58?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8520, 66317, 223188, 528669, 1032296, 1783605, 2832132?\n\"Answer: 8256*z**3 + z**2 + 2*z + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, s: 4, h: 1}. Give prob of picking 1 s and 1 p.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vgvv when four letters picked without replacement from {v: 4, g: 9, k: 1}.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -2*w - 7*z, -3*w + 2*z - 83 = -72 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.273 and 7.\nAnswer: 7.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30987270397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(11)*-4)**2 + -5.\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*c**2 - c + 33*c**2 + 4*c**3 - 18*c**2 + 0*c + 2*c**4 as p*c**2 + n*c**3 + g*c + h + r*c**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - -8 - 2) + (-150)\/(-2). Let p = y - 32. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2045266430?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -10*u**4 + 3*u**3 + 17. Let q(m) = 21*m**4 - 5*m**3 - 33. Let p(r) = -5*n(r) - 3*q(r). Differentiate p(w) wrt w.\nAnswer: -52*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/((-1)\/(-2)*-1). What is the third derivative of 3*a**3 + 0*a**3 - 3*a**3 - a**j - 2*a**2 wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxxj when four letters picked without replacement from swxwjxwajsxx?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 634 divide 8822510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1239639 is divided by 637.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -6*d - 58. Let j be g(-14). Let y be 3807\/5265 - (-2)\/j. Which is the third biggest value? (a) -5 (b) y (c) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 566351734 to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*b = -104*b + 18. Solve 31*r = 3*m + 36*r, -b*r = -m + 11 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 1. Let g be v(-5). What is the derivative of -g - 48 + 11*b + b - b wrt b?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 488264 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4810 and 8.\nAnswer: 19240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 19234 = -s, -19252 = -4*y - 6*s + 4*s. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 6*t - 2*t - 4*v, 3*t - 25 = v. Let n(d) = d**3 - 9*d**2 - 8*d - 13. What is the remainder when n(t) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/19? (a) -1 (b) 1\/5 (c) 2\/9 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) - (sqrt(208) + 0 - sqrt(208)))*-2 + 2*(sqrt(208) + 2*sqrt(208)) - (2*sqrt(208) + 0 + sqrt(208) + 2*-2*sqrt(208)))**2.\nAnswer: 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 330 - 330. Sort -1, s, 4\/5 in descending order.\nAnswer: 4\/5, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 144349304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, f: 2, h: 2, p: 3, s: 1, c: 3}. What is prob of sequence pffh?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 5 - 5 - 3*p**2 + 3*p**2 + 3*p**2 + (p + 2*p - 5*p)*(3*p - 2*p + p))*(-3*p + 4*p - 2*p)*(395 + 408 - 925).\nAnswer: -244*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhr when three letters picked without replacement from rahtjjhrrjjjhhj?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2712851448?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = -46*d - 55. Let w(r) = -8*r**3 + r**2 + 6*r + 7. What is the tens digit of w(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 + 227?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 + -20. Suppose -b = -5*s + 9. What is the remainder when 20 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s - s**2 + 0*s + (2 - 2 + 3*s)*(16 - 16 - s) - 3*s**2 + 2*s**2 - 2*s**2.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5464, -5467, -5470, -5473, -5476?\nAnswer: -5479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 - 2890*w + 1582. Give k(0).\nAnswer: 1582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*((-9*p**2 + 9*p**2 + 4*p**3)*(-3*p**2 - p**2 + 5*p**2) + 0*p + 3*p**5 + 0*p + 6*p**5 + 8*p**5 - 3*p**5).\nAnswer: 18*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -627, -3044, -7245, -13230, -20999?\n\"Answer: -892*k**2 + 259*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.5 + 2475?\nAnswer: 2543.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 523*c**2 + 262*c**2 - 986*c**2.\nAnswer: -201*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 0.3 (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30662601 is divided by 607?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7738 and 5?\nAnswer: 38690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4015 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 + -43. Suppose 0 = -k + 2. Which is smaller: k or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -35034 + 13018. What is the tens digit of g\/18 + (-8)\/(-36)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/2 + 91*j - 8281\/2.\nAnswer: -(j - 91)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1716300*g**2*i**3 - 4*g**2*x**3 + 122*g*i**2*x**2 - 4*g*i*x - 9*i**3*x**2 - 37*i**2*x**3 - 2*i*x**3 wrt g.\nAnswer: -3432600*i**3 - 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1848)\/(-32))\/((-5)\/(-20)). Calculate the highest common factor of 42 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 152\/9 - 3\/(-27). Suppose 12*o - 58 = -d*o. Solve -5*y + 6 = w, o*y + 0 + 4 = -2*w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4889765.0000025 + -4889749. Let j = -14.3 + -1.7. Let t = j + c. What is t rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1038 is divided by 300.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22909425 by 11901.\nAnswer: 1925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25319 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0596 and 0.1.\nAnswer: 0.00596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 1. Let y(x) = -4*x**3 - 3*x - 4. What is 2*a(z) - y(z)?\nAnswer: 2*z**3 + 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - 1910*i**2 - i + 2160*i**2 + 2 - 2.\nAnswer: 250*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 - 86 + 250 - 85 + 63*l - 16*l.\nAnswer: 47*l - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.22 + -17.22. What is the second biggest value in t, -2, -3\/2, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/1)\/((-1)\/2). Suppose -3159 - 1659 = -3*d. Suppose 386 - d = -c*g. What is g rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**5\/60 + q**2. Let y(l) = -2 + 2 - 1. Let w(c) = -c + 1. Let b(v) = -2*w(v) - 2*y(v). Calculate b(n(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 11.3. What is the biggest value in m, 3, -2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n + 16. Let p be u(-11). Let l(a) be the third derivative of a**6\/120 + 7*a**5\/60 + a**4\/4 + 2*a**3\/3 - 1088*a**2. Determine l(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**4\/12 - 7*s**3\/6 + s**2 + 6*s. Let f be n(7). Solve -a + 5 = 0, 2*w + f*a - 26 = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 9:18 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 9:32 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 3. Let z(d) = -5*d + 5. Let q(m) = -15*m + 14. Let p(n) = 3*q(n) - 8*z(n). What is the tens digit of p(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -1455203012?\nAnswer: 1455203005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.13 and 50.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2645 = 2*v - b, -5*v - b = -1452 - 5178. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from pggiggpygygnnnpgpnpp.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -836018, 5, -2, 1, 10 in descending order.\nAnswer: 10, 5, 1, -2, -836018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/4*(-6)\/4. Is (-1)\/g*6*-8 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-10) - (-1)\/5 - -996. Suppose -7*a + i + 26 = 0. What are the prime factors of a?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 29. What is the derivative of 2 + 5 - 9*q**2 - 10 + f wrt q?\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46822?\nAnswer: 2, 41, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*r - 19 = -r, -3*t - 2*r + 15 = 0. Suppose -t*v + 177 = -4*v. Calculate the remainder when v is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64*c**2*p**3*s**3 - c**2*p**3 + 2*c**2*p**2 + 2*p*s**3 - s**2 wrt s?\nAnswer: 384*c**2*p**3 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**3 + 191*s**2 + 10*s - 3. Let n(o) = 6*o**3 + 192*o**2 + 13*o - 4. What is -4*k(j) + 3*n(j)?\nAnswer: -2*j**3 - 188*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -13 + 11 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 254999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476*s = 502*s + 208 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23227.45ng to micrograms.\nAnswer: 23.22745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/1150 and 97\/100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1836 divided by -27?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 32 and 0.07.\nAnswer: 2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1361*u - 1902 = -541 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.44654 + -1.55346. Let d be -1 + (-8)\/6*-2. What is the nearest to w in d, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 465126040?\nAnswer: 2, 5, 11628151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 1)*(-60)\/(13 + -25).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -8*j**2 + 3*j - 3. Let q be 3\/(21\/140) + (0 - -3). Suppose -q*o + 21 = -16*o. Let f(z) = -15*z**2 + 5*z - 5. Give o*f(m) - 5*x(m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 2*x + 0*x)*(2*x**3 - x**3 + 0*x**3) - 3*x**4 + x**4 - 5*x**4.\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**2 - 3244*q - 198250. What is d(-58)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 4:54 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3*sqrt(1700) + -4) + 1)**2.\nAnswer: 8280*sqrt(17) + 551329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 147\/(-63) + 340\/126 and 65\/378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/21)\/((-130)\/(-546)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-5) - 7\/(-5). Let v(r) = -13*r**2. Calculate v(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 133.4397um?\nAnswer: 0.0000001334397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 2*i + 3*i + (3 - 3 + 1)*(i - i + 2*i) - 2*i + 2*i + 2*i + 3*i - 4*i + 3*i + (0*i + 5*i - i)*(2 - 2 + 1))*(-3*i**4 - i**4 + 2*i**4).\nAnswer: -16*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-107 - -88) + 13401*(-17)\/(-11985).\nAnswer: 2\/235","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1207 (b) 13\/6 (c) 3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 315065 and 5?\nAnswer: 1575325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44141?\nAnswer: 37, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19349 or -19350?\nAnswer: -19350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + c = 1646, -213 = 3*h + 3*c - 1434. Calculate the remainder when h is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, j: 11}. What is prob of sequence wwwj?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -25*t - 9. Determine o(-3).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q = -14. Let r = 109 - 104. Solve -q*x = -r*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (6\/9 - (-4)\/(-6)). Suppose -15*i - 7465 = -5*o - 10*i, 0 = w*i + 12. List the prime factors of o.\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3 - 2 - 1 + 4 + (-2 - 3 + 6)*(6 - 3 - 4) + 2 - 2 + 2)*(8 - 32 - 3)*(-g**4 + 26*g**2 - 26*g**2).\nAnswer: 135*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25931154 divided by -222.\nAnswer: -116807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 3462971898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 3:41 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -2*l + 3*x, 9*l + 4*x + 32 = 10*l. Suppose -l*i + 32*i + 40 = 0. Solve -3*d - 17 = -i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 32 = 4*i, -4 + 6 = 2*i - t. Suppose 62 = i*w + 8. 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: Which is the nearest to -0.08? (a) -3 (b) 5 (c) -10 (d) -4\/9 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 m when two letters picked without replacement from {v: 6, w: 2, x: 2, m: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 3 = -7*i. Solve i*h + 12 = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*u**4 + 196*u**3 - 70*u**3 + 1 - 69*u**3 - 64*u**3 + 3*u + 0*u**4 in the form y*u**3 + c*u**2 + t + b*u**4 + f*u and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/3 - 38415778*p\/3 + 368942999836321\/3.\nAnswer: (p - 19207889)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, m: 10, r: 2, j: 3}. What is prob of sequence rjjm?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-8)\/(-40) + (-202)\/60?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -d**2\/2 + 4*d + 1090. Calculate n(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 870 <= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 20 (b) -1\/2 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2127*d**2*t**3*x**2 + 9*d**2*t*x**2 - d**2*t - 6*d*t*x - 14*d - t**3*x - 4*t*x wrt x.\nAnswer: 4254*d**2*t**3 + 18*d**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 222 - 16. List the prime factors of g.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-190)\/(-24))\/1*2*(576\/(-60))\/12.\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*m + 4*m + t - 472 + 317, -t - 93 = 3*m for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*a + 23 = -3*a, 0 = -2*h - 5*a + 32. Let r = -15 + h. Let l be 56\/20 + 16\/(-20). What is the third smallest value in r, -0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**3 + 18273541*n**2 - 83480584306440*n + 83480566032900 = 0. Calculate n.\nAnswer: 1, 9136770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1\/3))**(1\/60))**(-26\/7))**(-21\/4) assuming o is positive.\nAnswer: o**(-13\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhzr when four letters picked without replacement from wzyrhcc.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -7. Let d = 872 + -581. Let w = 871\/3 - d. Which is the nearest to w? (a) -0.2 (b) g (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 5*u**2 - 10*u - 28. Give l(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -572*s**2 - 311166*s + 1073. Determine o(-544).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97746 - 309224 = -2579*y for y.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 87*u + 834. Determine s(-70).\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -5*v, -v + 0*v = -4*o - 20. Let m be (13\/3 - v)*18. Suppose -m*t + 70 + 242 = 0. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 10. Let s be q(-5). Suppose 5*y + 55 = -s*a, -3*a - 2*y + 34 = -8*a. List the prime factors of ((-34)\/a)\/((-2)\/(-8)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) 0.8 (c) -1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 10 - 8)*(4 - 4 + 3*k) + (-2*k + 0*k + 0*k)*(0 - 2 + 3).\nAnswer: -56*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5571 + 5565. Let j = 0.429 - 0.019. Let u = j + -0.01. Which is the biggest value? (a) y (b) u (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5599*v - 5602*v + 28 = 4*q, -3*v = -15*q + 48 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5, 17, 37, 65?\n\"Answer: 4*u**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -228*x**3 - 24472168*x**2 - 656675208036*x - 46082350224 = 0.\nAnswer: -53667, -4\/57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-22)\/k)\/k)\/k*k)\/k**(-14) assuming k is positive.\nAnswer: k**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 - k**3 + 2*k**3 + ((2*k**2 + 0*k**2 - k**2)*(18 + 10 - 7) - 2*k**2 - 2*k**2 - 2*k**2)*(-k - 4*k + 3*k).\nAnswer: -31*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**5 + 2*c**5 - 2*c**5 + (1 + 3*c**2 - 1)*(-2*c**3 - c**3 + 4*c**3) - 4*c**5 - 2*c**5 + 5*c**5 + (60*c**2 + 91*c**4 - 60*c**2)*(-3 + c + c + 6).\nAnswer: 185*c**5 + 273*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4, -u + 13942 = -3*g - 2*g. Let f = g - -4760. Suppose -p - 2*m + f = p, 4*p + 2*m = 3938. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33396436 divided by -33396436.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -8*q**2 - 293*q - 554. Let a be l(-2). Let k = 5 + -3. Suppose -5*i + 32 = -3*f, -4*f + 5*i - 28 = 2*i. What is the closest to k in 1.1, a, f?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -3*v - 75. Suppose 2*d + 5*w = 50 + v, d = 3*w + 27. What is the tens digit of (d\/(-8))\/((-6)\/24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3919*c**3 - 10*c**2 - 54*c - 43. Is p(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5472253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 422*o - 6 = 427*o + 3, -4*d + 9*o = -109 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - -5044670?\nAnswer: 5044662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 799 is divided by 110.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 16.85\nAnswer: -84.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40541 and 213?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35443207 - 0?\nAnswer: 35443207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -4, -66, -1.\nAnswer: -66, -4, -1, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 11:32 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((-3 - 1) + (32 + -27 - (18 + -3)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15460 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 14*p - 1067. What is the lowest common multiple of 65 and k(-41)?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**3 - 8*x**2 - 53*x - 46. What is h(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*j - 7*j - 4*j - 7*j - 5*j + 78*j - 34*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -257*j**3 - 58852*j**2 + 230*j + 204. Give v(-229).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30030.\nAnswer: 2, 3, 5, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.23 + 1.895\nAnswer: 1.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - j - 8, -5*j - 35 = -5*q. Suppose -2*t = -3*n - 7*t + 226, 3*t + q = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 22. Let a(t) = 2*t**2 - t. Let q be a(1). Suppose -b + p = -q. Is 3 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -266144, -532417, -798690, -1064963, -1331236, -1597509?\nAnswer: -1863782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001195 to five dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -11 - (1 + -7)) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - v = -0 - 16, 3*k + 14 = -v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -4*q + 5. Let r be -93*((-8)\/q)\/(-1). Suppose 22 = k - 2*x, 0 = -5*k - 2*x + 5*x + r. Calculate the remainder when k is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 - -79. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*u + 24. Let h be u\/(-4)*4\/(-6). Let l be 2\/(-11) + (-17)\/55*2. Is h not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/28, -11.73, -2\/9, 1, 0, -15 in increasing order.\nAnswer: -15, -11.73, -2\/9, -1\/28, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g + 18. Let s be j(-5). Factor -1 - 13*q + 3*q**2 - 2 - 5*q**s + 10*q + 8*q**3.\nAnswer: 3*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -535 - 27*g**2 + 1060 - 3*g**3 - 534 as l*g**2 + a*g + t*g**3 + v and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 70206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o**2 + 8*o - 30. Let y be k(3). Suppose -36*g = -y*g + 48. Solve 16 = g*d + 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3778524.\nAnswer: 2, 3, 104959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 2*u**2. Suppose -2*s - 60 = -6*s. Suppose -3*i - 7 = 4*h, 5*i - 4*h - 16 = s. Determine k(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(39)\/(3*-2*sqrt(3)))**2*4*2)*2.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17715681*q**2\/5 + 33672*q\/5 - 16\/5 = 0. What is q?\nAnswer: 4\/4209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*21.31.\nAnswer: -170.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 965265, 1930650, 2896033, 3861414?\n\"Answer: -j**2 + 965388*j - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*k**2 + 40*k**3 - 59*k**3 + 28*k**2 - 13*k**2.\nAnswer: -19*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 21714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 22*u**2 - 9231*u - 84829. Calculate t(-9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/148323?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/13 - 118*n - 290136\/13.\nAnswer: 2*(n - 924)*(n + 157)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -10 + (4 - (-7 - -3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (9 - 1)) + (430 - 386)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5 + sqrt(91)\/sqrt(112) + -3))**2 - ((sqrt(156)\/(sqrt(12) - 2*sqrt(12))*6)**2 + ((sqrt(65) - -2*sqrt(65))*6)\/sqrt(5)).\nAnswer: -391 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*j - 0*x + 1184, j + 5*x = -315. Let p = -277 - j. Calculate the highest common factor of p and 297.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51445 (base 6) to base 14\nAnswer: -2709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**3 + d**2 + d + 2. Calculate i(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2\/7*g**3 + 0 + 6\/7*g**2 + 4\/7*g = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -5\/73, 13.\nAnswer: -18, -5\/73, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-6)*10)\/(1\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 290 + -298 + (-122)\/(-16).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 18*c = -8*c + 9*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 7*g - 212. Suppose -2*w + 8 = 2*u + 2*w, 5*w + g = 2*u. What is the tens digit of 238\/u + 1 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -21. Let s(h) be the second derivative of h**5\/20 + h**4\/3 + h**3\/3 + 2*h**2 - 10*h - 6. Is s(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**7\/1680 - 13*a**6\/720 + 29*a**3\/3 + 68*a**2. Let p(r) be the first derivative of l(r). Determine c, given that p(c) = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l**3 - l**5 - 5*l**3 + 0*l**5 + 2*l**5 - l**5 - 3*l**3 - l**5 + 3*l**3 + (0*l - l + 0*l)*(-2*l**3 + 2*l**3 + l**4) + 8*l**5 - 3*l**5 + 4*l**5.\nAnswer: 7*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 10 + 2. Suppose 21 = g*s - s. Let p be 20\/21 + (-2)\/s. Sort p, 0.5, 5 in decreasing order.\nAnswer: 5, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 5*g + 7. Suppose 2*y = y + 20. What is the smallest common multiple of x(6) and y\/3 - (-1)\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1199782 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 941063243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**3 - 3*p**2 - 2*p - 4. Give w(3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 32. Suppose 0 = 5*w, -5*k + k + 12 = 2*w. Suppose 0*i - 39 = -5*i + k*r, -15 = -2*i + r. What is the greatest common divisor of v and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 2:09 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 14. Suppose -4*c - 3*o - n = -69, -4*c + 5*o + 15 = 0. Solve -4*a - j + 25 = 0, j + 4*j = 3*a + c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 4\/(-4) - 2. Let o be g*3\/1 - -3. Suppose o = 2*j + 2*y - 48, 0 = 4*j - 3*y + 34 - 158. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*b + 300, v + 2*v - 2*b - 450 = 0. Suppose -5*s - v = -7*s. Let o = 9 - -6. Calculate the highest common divisor of s and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, t: 4, m: 2, s: 4, v: 1, q: 2}. Give prob of picking 1 v and 1 x.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.408 + 0.908. Which is the biggest value? (a) -3 (b) -14 (c) v (d) 5\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -49*k + 2. Let y(d) = -1184*d + 3. Give -y(s) + 2*z(s).\nAnswer: 1086*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*g*r**3 - 13*g*r**2 - 4*g - 2668*r**3 - 3*r**2 + 13 wrt r.\nAnswer: -30*g - 16008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3073183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crcrrcrcrrccr. Give prob of picking 2 c.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, -2.2, -1, 0.3, -0.16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/6*g**2 - 2\/3*g**3 + 2\/3*g - 1\/6*g**4 + 0 = 0 for g.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 22 = -7*m. Find the second derivative of -6132*c - 88*c**3 + 6158*c + 1 + 8*c**m wrt c.\nAnswer: -480*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -34848*x + 175692\/5 - 3\/5*x**3 - 1449\/5*x**2 = 0. What is x?\nAnswer: -242, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49348*a + 134 = -4*h + 49346*a, 4*h = 3*a - 139 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 10*k**2 - 11*k + 11. Let g = 58 - -21. Suppose -9*z - 20 = g. What is the remainder when h(z) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/13104 and 23\/16.\nAnswer: 13104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6946 - 353. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12*(-329)\/5076)\/(7\/(-6)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366 a factor of 2136424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y - 1. Let z = -56 + 53. Determine o(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**5\/60 + t**4\/12 - t**3\/3 + 7*t**2. Is k(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -1*1\/(-6)*-6. Suppose j - 957 + 955 = p. Solve -b - 10 = j*k - 3*b, 4*b = -5*k + 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-2 - -4) - 5 - (25 - 28)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q. Let r be v(-5). Suppose 198 - r = 4*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (36\/30)\/((-3)\/(-10)). Factor 0*p**4 - 9 - 2*p**2 - 3*p**3 - p**r + 11 + p**2 + 3*p.\nAnswer: -(p - 1)*(p + 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 175 - 142. Calculate the least common multiple of i and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129628558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3, -12, 7, -2\/5 in decreasing order.\nAnswer: 7, 0.3, -2\/5, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 10*f**2 - 10*f - 11. Let z(t) = -t - 2. Let a(i) = -r(i) + 2*z(i). Calculate a(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4253 is divided by 492.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 286*t + 41*t - 145641 - 4651122. Calculate the remainder when t is divided by 219.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/2)\/(3\/12). Suppose 4 + x = 2*q - 2*z, -z - 9 = -4*q. Round q to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**4\/12 + c**3 + 63*c**2. What is v(8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.37 - 0.07. Let z be (-4 + 2)\/(-2 + 13). What is the biggest value in c, z, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 - 3*(-76)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4815, 4855, 4967, 5187, 5551, 6095, 6855?\n\"Answer: 6*d**3 - 2*d + 4811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 + 3*v + 2. Calculate s(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 7*t**2 + 9*t - 7. Let u be f(8). Solve 4*i - 5 = -5*v, -2 - u = v for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -9 - (0 + (11 - 4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27769\/52 - 534. Let p = j - -925\/572. Find the common denominator of 27\/(-45)*1\/6*-73 and p.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 1818?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -460, -482, -530, -616, -752, -950?\nAnswer: -1222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -7.3. Let i = 28.6 + -29. Let w = i - z. Which is the nearest to 2? (a) w (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/102168 and 43.\nAnswer: 102168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -4179?\nAnswer: 16716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -u**3 + 2394*u + 50365.\nAnswer: -3*u**2 + 2394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/12 - 191\/(-2). Let t be 0\/(3 - 2) - -19. What is the highest common factor of b and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*i + 23*i = 57*i + 2*q + 69, -3*q + 12 = 0 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11424 divided by -51\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10122 - 2021200?\nAnswer: -2102022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 272304 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 20*z - 13. Let y be q(-19). Let p be ((-25)\/(-15))\/((-25)\/(-30)). Solve -p - y = -3*t + 4*o, -o = 2*t - 9 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/15*((-125)\/(-40))\/(-5).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 2*d - 4, -51*d + 48*d + g + 6 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 7 - 11 = -t, 2*t + 111 = 5*j. Let z(f) = j - 15 - 9 + 2*f. Let g(x) = x - 1. Let n(p) = -3*g(p) + z(p). Let c(v) = 5*v. Determine n(c(s)).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 52570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 204 + -199. Suppose 3*u = -5*k + 493, 4*k - 881 = -v*u - 81. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 - w**5 + w**5 + (-w**3 - w**5 + w**3)*(2 - 3 + 0) + 3*w**2 - 3*w**2 + 2*w**5 + 22846*w + 162*w**5 - 22846*w.\nAnswer: 167*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 262708, 262789, 262904, 263059, 263260?\n\"Answer: v**3 + 11*v**2 + 41*v + 262655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/237360 and 32\/9453.\nAnswer: 32518320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4602312 - -44?\nAnswer: 4602356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -13. Let y = x + -9. Put 1\/10, -0.5, y in increasing order.\nAnswer: y, -0.5, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (31 - 9 - 5)*(-3*f**3 + 2*f**3 + 0*f**3 + (3*f - f + 0*f)*(-2*f**2 + 3 - 3)) in the form q*f**3 + w*f**2 + s + h*f and give q.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -208*j - 16451. Give p(-77).\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3872 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*j - 5*u = 91, -5*j - 5*u + 140 = 0. Let d = -23 + j. Let y(i) = -7*i - 5. Calculate the remainder when y(-6) is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 divided by -20.\nAnswer: 87\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2110306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s + 1920 = -32*s. Let q = 130 + s. Let y(j) = j**3 + j - 1. Let m(x) = 24*x**3 + 30*x - 30. Give q*y(h) + m(h).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.03 - 0.93. Let i = 39.1 - c. Let t = 419507.9 - 419508. Is t < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*s. Solve -3 = p - s*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117112140 is divided by 1147?\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 104 - 46 - 42 - 4*i**3 + 5*i**3 to v*i**2 + j*i + m*i**3 + q and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -153 + 153. Solve u = 5*l + k + 3, 0 = -5*l + 5*k + 10 + 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9247286?\nAnswer: 2, 17, 211, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4*(1 + sqrt(192)))**2.\nAnswer: 128*sqrt(3) + 3076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 322694.\nAnswer: 322694.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 18*b**2 - 24*b + 36. List the prime factors of c(20).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9508435 to the nearest integer?\nAnswer: 3084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 148713.1mg in nanograms?\nAnswer: 148713100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 + 0.4. Let p(b) = 2813*b - 16883. Let v be p(6). What is the smallest value in v, 0.1, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -22472660 and -22472661 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -324, -314, -300, -282, -260, -234, -204?\n\"Answer: 2*w**2 + 4*w - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 + 11*q**3 + q**3 + q**3 - 13*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 172, 403, 742, 1195, 1768, 2467?\nAnswer: 3298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from tnnnnnlntnnntnnnnnnn?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 222565, 445135, 667705, 890275?\n\"Answer: 222570*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -13 + 214. Suppose 4*p - 12 = 4*r, 4*p + r = -2*r + 26. Suppose p*c - y = 139. Is 26 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8774 divide 942422288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 7*x**2 - 9*x - 6. Let y be h(-8). Solve y*a - 3*a + 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 684 and 90.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -116, 1, -3, -2 in increasing order.\nAnswer: -116, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -459+-1583.9257\nAnswer: -2042.9257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3\/461?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * 0.1428486\nAnswer: -0.011427888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/(-18) - -3) + -4. Let r = 4.88 + -5. Let h = r + 5.12. What is the second biggest value in m, h, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/4*-6 + (480 - 494). Let t = 5 + -1. Which is the nearest to -3? (a) -0.4 (b) f (c) -2\/9 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -31*i**6\/6 - 40*i**2 - 6. Find the second derivative of n(v) wrt v.\nAnswer: -620*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1056377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a - 11*a**2 - 8*a - 18 + a - 7*a**2 - 2*a**2.\nAnswer: -20*a**2 - 7*a - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*u - 531 - 833 = 0. Suppose 0 = -20*j + u + 56. Put 25, j, 4 in increasing order.\nAnswer: 4, j, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*a + 6. Let o(z) = -11*z + 12*z + 1187 - 1189. Let r be o(a). Let q(m) = m**2 - 1. Let g(v) = 1. What is r*q(f) - g(f)?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-50)\/15 - 2\/(-6). What is the common denominator of (12\/88)\/(n\/9) and (3 + -2)*(-5 - (-294)\/36)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 158 + -157.9019. Let b = x + -1.0201. What is b rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0723 - -0.4723. Which is the closest to -2\/17? (a) 1 (b) t (c) -52 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188, -207, -226?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -4\/3*h**3 - 41 + 0*h + 0*h**2. Let m(r) = -8*r. What is c(m(b))?\nAnswer: -256*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 434665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 4:12 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*d + 31583 - 9495 = 0. What is the remainder when d is divided by 287?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -1. Let j = s - -0.6. Let u = 4.88 + 0.12. Put u, j, -1\/10 in descending order.\nAnswer: u, -1\/10, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 944987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -993 = 7*q - 11*q - 3*l, 3*l = -q + 246. Which is bigger: 250 or q?\nAnswer: 250","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**4 + 3*r**2 - r**2 - 2 - r - 3*r**2 - 3*r**3. Let y(s) = 13*s**4 - 13*s**3 - 4*s**2 - 5*s - 9. Let g(x) = -9*t(x) + 2*y(x). Factor g(i).\nAnswer: -i*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q - 41. What is c(17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*a - 5*a. Let s = 1 + 1. Let i = a + s. Solve 0 = u - 4*z - 15 + 5, 3*u - i*z - 3 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0.5. Suppose -4*t = 10 - 2. Let j be 128\/120 - t\/(-5). Which is the nearest to 1\/3? (a) j (b) h (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - c + 63 = 0, h - 6*h + 81 = -c. Suppose -54 = -h*q + 650. Calculate the remainder when 1\/(-4) - 2103\/(-12) is divided by q.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 - -0.3. Let a = 1.8 - d. What is the nearest to -0.1 in 3\/5, a, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*r = 3468666, 5*c - 2*r = r + 8671659. Let j = 2089867419\/1205 - c. Let w = j - 2\/241. Which is smaller: -2 or w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29367232157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/10))**(-2\/19)\/(d*d**5\/d)**(2\/15) assuming d is positive.\nAnswer: d**(-187\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92887295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4796*h - 87. Let x(s) = s - 3. Let f(m) = -c(m) + 6*x(m). Is f(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223438.02 months to centuries.\nAnswer: 186.19835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342*i**3 + 221*i**3 + 987*i**3 + 785*i**3.\nAnswer: 2335*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**3\/2 - 5*l**2\/2 + l. Let k = -169 + 166. Let d be 3*(k + 4)*2. Give z(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 p, and 1 n when four letters picked without replacement from nfnfpnsnp.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/5 (b) 2\/5 (c) -0.065 (d) 2\/553577\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18674 + -18683. Which is the fourth biggest value? (a) -0.09 (b) w (c) 5 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7171, 57269, 193235, 457999, 894491?\n\"Answer: 7155*w**3 + 4*w**2 + w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2223 and 55789890.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-7)*-7*16\/(-32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1947, -3919, -5965, -8121, -10423?\n\"Answer: -6*f**3 - f**2 - 1927*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = n - 2. Sort n, -5, 2.\nAnswer: -5, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16021 (base 12) to base 4.\nAnswer: -13212121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-27))\/((39\/(-18))\/(-13) + 0).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 102 or -29?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -226*b + 52. Let m(r) = -112*r + 24. Let u(x) = 13*m(x) - 6*y(x). Let o(k) = -11*k. Calculate 55*o(c) - 6*u(c).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - ((sqrt(700) + -2 - sqrt(700)) + 4)) + sqrt(700) + -2*(sqrt(700) - (0 + sqrt(700))) - (2*-2*(-1 + sqrt(700)) + 1))**2.\nAnswer: -840*sqrt(7) + 25249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 38 + 38)*(2*j**3 + j**3 + j**3)*(-5*j + 3*j + 3*j).\nAnswer: 12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - -1. Solve -6*v + v - j = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2704597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 1:27 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 896 and 10976.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23021 + -100303?\nAnswer: -11222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-170)*1974\/756*-153.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (3 + 2 + -2 - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -595 + 112 + x + 472*x**2 - 464*x**2 as r*x**2 + f*x + h and give h.\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1968 and 2337?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -60. Let k(z) = -22 - m - z + 43. Determine k(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250*f - 127*f - 133*f = 50. What is the nearest to -8 in -0.2, f, 4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 8. Let f = j + 0. Let r = f - -2. Put r, 0.3, -1\/8 in ascending order.\nAnswer: r, -1\/8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*(-3*sqrt(270) + sqrt(30)))\/((2*sqrt(30))\/sqrt(5) - sqrt(24)\/sqrt(100)).\nAnswer: 160*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -1740820?\nAnswer: -7\/870410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 30*8\/15*18\/8.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 1)*(-2*p + 4*p - 4*p) + 3*p - p - 4*p + (0 - 2 + 1)*(3*p + 1 - 1).\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4585*s - 65*s - 1993*s)*(s**2 + 3*s**2 + 4*s**2 - 5*s**2).\nAnswer: -19929*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**3 - 3*h**3 - 4*h**3)*(-138 + 2*h**2 - 79*h + 185*h - 108*h).\nAnswer: -4*h**5 + 4*h**4 + 276*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.3 (b) -16\/33 (c) -0.4 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.90326 - -0.09674. What is the nearest to 0.1 in 3, 75, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 - -84. Let t = 58 + -31. Suppose 7*k = 16*k - t. Solve -3*p = -j*p + k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244998573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 1. What is the highest common divisor of w and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - -0.6. Let o = -1 + -3. Which is the smallest value? (a) n (b) -2\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -81*f - 2 - 5 + 7 - 72*f as i + a*f and give a.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*(sqrt(152) - -2*sqrt(152)) + sqrt(152))\/sqrt(8) - (4 + sqrt(57)\/(sqrt(48)*-1)).\nAnswer: -7*sqrt(19)\/4 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(1 + -2) + -2. Let k = a - -7. Suppose 2*p - k*p = 3*c, 4*c = 0. Put -4, p, 4 in ascending order.\nAnswer: -4, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -67 and -313.\nAnswer: 20971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 + i. Let h be b(0). Suppose 5*v + 300 = 3*f, 3*f + h*f - 2*v = 300. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 1643*u - 10. Let a be q(-3). Let j = -2199 - a. What is j rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 46\/5 of a centimeter?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*k - 2*j + 52, 0 = 3*k - j - 40. Solve 2*a - k = -3*z, 3*z + 0*a + 6 = 3*a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26021928.83 rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v + 38. Let p be u(-18). Suppose 55 - 49 = p*z. Suppose 4*l - 5*x - 308 = 109, -l + z*x + 113 = 0. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 1344 = 2*s, 0 = -3*s + 5*i + 619 + 1402. Let v = 681 - s. Is v equal to 103\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6253401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 130, 545, 1236, 2203, 3446, 4965, 6760?\n\"Answer: 138*m**2 + m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-6)\/h**(19\/5)*h**4*h**(-2\/23) assuming h is positive.\nAnswer: h**(-677\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(22\/9)*z*z*z)\/(z**(13\/8)*z)*(z**13)**48 assuming z is positive.\nAnswer: z**(45131\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0585 and -142331.\nAnswer: -8326.3635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 - (-18)\/(-6) - 4. Let s be z + 1*4\/36*-3. Which is the nearest to 1? (a) s (b) 2.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*w + 348. Let c = w - -96. Suppose -y = -c + 6. Is 32 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011738587 to six decimal places.\nAnswer: -0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 283948505769.99887 + -283931003001. Let i = 17502563 - m. Let x = -206 - i. Round x to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35e (base 15) in base 6?\nAnswer: -3312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1757 and 7781?\nAnswer: 54467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 4 - 4)*(4*u**3 - 3*u**3 + 0*u**3) + (3*u + u**2 - 3*u)*(2*u**2 - u**2 + u**2)*(0 + 5*u + 0).\nAnswer: 9*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 8*y + 148. Let p be (y\/1)\/(-3 - -6 - 2). Let g(m) = 52666*m**2 + 43*m + 5. Let v be g(p). What is v rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 763620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -31. Let f be d\/(-8)*-3*-864. Let g = -229 - f. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 48?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a century in years?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429 at least as big as 1429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 744*c - 24715. Calculate i(-32).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4472 bigger than 4029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c + 6*c - 5*c - 2*c**2 + 3 + 2 - c**3. Let a(d) = d**2. Let g(m) = -2*a(m) + k(m). Is 13 a factor of g(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -67 and 1\/60 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -403 + 282. Let j = d + 121.033. Round j to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.8 * 63339\nAnswer: -304027.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*n + 141*n + 4 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42386 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78156 by 1002.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3370555 and 20817.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4 = 2*p + 1, 4*p + u + 1 = 0. Let v(k) be the first derivative of -1\/3*k**3 - 1 + p*k**2 + 2*k. Let x(h) = h**2 - 1. Calculate v(l) + 2*x(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 270, 472, 694, 942?\nAnswer: 1222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 + -2355?\nAnswer: -2421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-60)*-4 + 2\/5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 232 - 337. Let z(r) = -r**3 - 4*r**2 - 3*r - 1. Let u be z(-3). Let g be u\/7 - j\/49. Let b(t) = t - 3. Let n(f) = 5*f - 12. What is g*n(i) - 9*b(i)?\nAnswer: i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 + 5*g - 243. Give i(0).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*h*m*o**2 - 2*h*m*o + h*m + 27*h*o + 2*h + 2*m*o**5 + 3*m*o**2 wrt o?\nAnswer: -20*h*m + 40*m*o**3 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + -5. Let q = h + 11.000009. What is q rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.29 + -87381.2095.\nAnswer: -87381.4995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/(5\/(-30)*60\/3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**4\/12 - 4*r**3\/3 - 5*r**2 - 2*r. Let p be i(9). Let m be 2\/(-4) + 11\/2. Put p, m, -2 in decreasing order.\nAnswer: m, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and -150.1256.\nAnswer: -4.503768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 143 - 147. Let t be y\/30 + (-385)\/(-75). What is the highest common factor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - m = 16, 0*m + 2*m - 10 = -t. Calculate the smallest common multiple of 2 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 117\/9 - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/(-110) - (-24964)\/40 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29f9c (base 16) in base 3?\nAnswer: -22201211212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2345 (base 15) to base 5.\nAnswer: 214430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.024 and -503.\nAnswer: -503.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*c + 3*l + 213 - 2597 = 0, -c + 5*l = 7684 - 7616 for c.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8175, -15022, -21867, -28710, -35551, -42390, -49227?\n\"Answer: z**2 - 6850*z - 1326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2012023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.01966533 to 4 decimal places.\nAnswer: -2.0197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282165 is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + z = -9, 29*z = -3*h + 32*z + 12. Sort -1, -12, -6, h in ascending order.\nAnswer: -12, -6, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**4\/20 - 44*h**3\/5 - 2904*h**2\/5 - 2*h - 98. Determine m so that f(m) = 0.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**6\/135 - v**4\/36 + v**3\/27 + 2*v**2 + 2*v. Let j(t) be the first derivative of f(t). Suppose j(l) = 0. What is l?\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 179789, 179795, 179803, 179813, 179825?\nAnswer: 179839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -6, 49700, -70 in decreasing order.\nAnswer: 49700, 3\/2, -6, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 60 + 75 = 0. Let n = 114 + a. Let x = -65 + n. Calculate the least common multiple of 18 and x.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -381 + 72. Let k = t + 470. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a + 9*a = -19 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 66\/9*345\/(-10). Let k = y + 222. Is k less than or equal to -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2547066, -2547067, -2547068, -2547069, -2547070, -2547071?\n\"Answer: -w - 2547065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 3:07 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -93 + 96. Let y(l) = -2*l + 0*l + l. Let o(t) = -6*t. What is i*o(u) - 14*y(u)?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -4*q - 90 + 114, -4*q + 12 = -2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 5:59 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2913652363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 = -2*h - 3*h. Let d be (h - -4) + 4\/2. Let o = d - 48. Put o, 0, -1 in decreasing order.\nAnswer: 0, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12306556?\nAnswer: 2, 29, 277, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 1402*i + 8370. Give z(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1, 3619, 5, 0.3 in descending order.\nAnswer: 3619, 5, 1, 0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 29 = -27. What is the highest common divisor of 56 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59075162 to the nearest ten thousand.\nAnswer: 59080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30288.8 - -30289. Let g = 0.06 + -0.56. What is the third biggest value in g, 0.5, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*h, 8*p = 3*p - 25. Find the third derivative of h*j**2 + 248*j**4 - 7*j**5 - 248*j**4 wrt j.\nAnswer: -420*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 - 2*j**3 - 150 + 150 + (-3*j - 2*j + 4*j)*(4*j**3 - 4*j**3 + 2*j**3).\nAnswer: -4*j**4 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2651 divided by -236.\nAnswer: 2651\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(9\/(-9 - -18))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -235, -208, -183, -160?\n\"Answer: -a**2 + 30*a - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -5*g**4\/54 - 118*g**3\/27 + 16*g**2\/3 + 101*g. Find m such that a(m) = 0.\nAnswer: -24, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f**2 + 2. Let v(p) = p**2. Suppose 37*l - 18 = 46*l. What is l*v(d) - n(d)?\nAnswer: 3*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/3))**(19\/4))**(-1\/38)\/(w\/w**(-6)*w**(-2\/3))**(-13) assuming w is positive.\nAnswer: w**(989\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001282659 rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 1265\/20)*4. Suppose g = -5*q + 680. What is the remainder when q is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-66)\/(-12) - -2)*4\/(-215). Do -1 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 8\/141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 13)\/(120\/660). Suppose 2*t + l = 201. List the prime factors of t.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p = 43*p + 40 + 85 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-14)\/(-21))*(-14)\/(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 14.1. Let k = -2.2 + l. Let q be (-10)\/34*2\/5. Put k, q, 2\/5 in increasing order.\nAnswer: k, q, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**2)\/d*d)**(-12\/5)\/(d*(d*d\/d**(-3\/4))\/d*d*d*(d*d\/(((((d*d**(2\/3))\/d)\/d)\/d)\/d*d*d))\/d))**(-5) assuming d is positive.\nAnswer: d**(797\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 12*q**3 - 5*q**2 + 139. Let o(l) = 5*l**3 - 2*l**2 + 69. Let j(y) = 5*o(y) - 2*x(y). What is the derivative of j(d) wrt d?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3148, 3748, 4348?\nAnswer: 4948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*b + 14 - 14)*(-4*b**4 - 4*b**4 + 5*b**4).\nAnswer: -24*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1321 at least 30\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 0*n**4 - 1\/70*n**5 + 0*n**2 + 0*n**3 - 1\/105*n**6 + 0 + 4*n. What is d in z(d) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c - 3*c + 6 + 0*c - 4*c with respect to c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a minute in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7909.065 - -7709.06593. Let h = -200 - l. Round h to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 14 - 38*a**3 + 2*a - 10 - 5. Let w be b(1). Let g = w + 62. Does 25 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1796290997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1\/7 (b) -0.4 (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, -0.9, -1444, 4\/7, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 221976 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 + 14*z + 2*z**3 + 0*z**3 + 3 - 16*z. Determine p(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y**3 - 6*y - 6. Let w(i) = -i**3 + i + 1. Give 5*a(x) + 30*w(x).\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393 is divided by 41?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -2\/3*l**3 + 9*l + 0 + 13\/2*l**2. Find the first derivative of d(i) wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2287796 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/10)\/(2\/(-10)). Let x(t) = 69*t**2 - 3*t - 13*t**2 - 1 + i*t. Let m be x(-1). Calculate the highest common divisor of 22 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2172 + -2171.4. What is the nearest to 1 in a, 5, -0.05?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 13) to base 7\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14 - 66c5536?\nAnswer: -66c5522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 2:32 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 - (-1 + 38 + 10 + -30)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 120 - 7*a + 5*a.\nAnswer: -2*a - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5677 is divided by 2743?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*sqrt(9)\/sqrt(3) + (sqrt(192) - -2*sqrt(192) - sqrt(192) - sqrt(192))**2 + sqrt(192)).\nAnswer: -384 - 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 46, 2\/27, -1, 1\/101, 1\/4, 1\/2, 3?\nAnswer: 1\/101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 17. Suppose 0 = 355*h - 356*h + 2. Calculate the least common multiple of d(-7) and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 19*q - 23. Determine j(17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a factor of 119833101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 + 3*v - v + 120 + 49 to the form k + d*v and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2000 and 44000.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -160475834*q**5 - 67*q**2 - 3233*q - 24.\nAnswer: -9628550040*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-80)\/24*(-6)\/(-5). Calculate the remainder when 57 is divided by (-3)\/(-12) + (-79)\/x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/((d*d**(2\/15)\/d)\/d*d))))\/(d\/(d*(d*d**(-7)*d)\/d))*(d\/(d*d*d*d**(-1\/3)\/d*d)*d)**10 assuming d is positive.\nAnswer: d**(-59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*m - 118, -5*d + m + 277 = -0*m. Let r = 32 + -21. Suppose -3*t = -d + r. Calculate the remainder when 59 is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 1:19 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/14473 and 5\/1599.\nAnswer: 564447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 2114358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7945 is divided by 1975?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-42) - (-1900)\/(-1995))*-26?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/3)\/d*d**(-1\/7)*(d**1)**(1\/6))\/((d*d*d**(-1))\/d**(-2\/5))**(-14\/9) assuming d is positive.\nAnswer: d**(1807\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a - 15*a + 39*a.\nAnswer: 39*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*v + 8. Let y be (v*2)\/(3 - 5). Put -1, 2, y in ascending order.\nAnswer: y, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000464147 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 x, and 2 d when four letters picked without replacement from vxvddvvvvxqdvdn.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5095148 + -1.5?\nAnswer: 5095146.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 59051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11182 divided by -3.\nAnswer: -11182\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29ef (base 16) to base 10.\nAnswer: 10735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/6)\/(-1 - (-7)\/9). Let i be 6\/h + (-7 - -15). Let v = i - 6. Let z(s) = -s**3 + s - 24. Determine z(v).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -3*f - 2, 903*f - 919*f + 5*c - 39 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence inkn when four letters picked without replacement from {b: 1, n: 4, k: 1, i: 1, x: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1982 = -102*m + 3*m - 1582 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 1867875?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8498874 is divided by 4249424?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnoq when four letters picked without replacement from {o: 2, t: 4, k: 5, n: 2, q: 1, v: 1}?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 at most as big as -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -59, -62, -65, -68?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -2)\/(1 + 1). Let k(j) be the first derivative of 1 - 2\/9*j - 2\/45*j**5 + 0*j**2 + 4\/27*j**3 + y*j**4. Factor k(d).\nAnswer: -2*(d - 1)**2*(d + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-1\/4)*s))**(1\/4)*(s\/s**6)\/s**4 assuming s is positive.\nAnswer: s**(-147\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 8*t + 18. Let r be n(4). Suppose 2*i - 2*h = 2502, -3*h = -r*i + i + 1259. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92587*j + 11*j**3 - 1 + 92931*j + 1.\nAnswer: 11*j**3 + 344*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -1, -0.3, 2.6, -4, -3, -0.83?\nAnswer: -0.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 3*l + 10*l = 13394 - 13454, -4*i = 4*l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.94 + 0.06. Let m = 4 - n. What is the biggest value in 2\/11, -2, m?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 8 = -2*u. Let n = 9 - 6. Suppose 4 = 2*h, -5*h = -n*s + 5*s - 16. What is the remainder when u is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f. Let g(v) = 4*v + 2. Let s(l) = l - 3. Let w(r) = 2*g(r) + s(r). Give a(w(h)).\nAnswer: -18*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*x + 56 = -4*x, -3*x = 3*o - 30. Suppose -6*i + o*i = 120. Is 12 a factor of ((-9)\/(225\/i))\/(1\/(-90))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 3*x - x. Suppose 2*m = -d + 1 + 7, -25 = -4*d - m. Calculate the highest common divisor of x and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h**2 + 4*h - 4*h)*(1173 + 311*h - 1173 - 27*h) to a*h + s*h**2 + n + f*h**3 and give f.\nAnswer: 568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {x: 8, w: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002645596359 rounded to seven dps?\nAnswer: 0.0000265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*n + 1. Let h = 3773 - 3775. Put -6, h, n in increasing order.\nAnswer: -6, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - -0.2. Let v be (18\/5)\/(102\/(-340)). Let n be v\/(-10)*(-24)\/(-36). Which is the fourth biggest value? (a) n (b) 2 (c) o (d) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -203 + 217. Suppose -l - 3 = -12. Suppose -g*q + 885 = -l*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-6)*o\/(o\/(o*o**(-5)*o*o)))**48)**(-45) assuming o is positive.\nAnswer: o**17280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 - 3*x**2 - 2*x. Let u be g(-1). Suppose -2*o + 2*l = -3*o - 6, 3*l + 2 = -5*o. Put u, 4, o in decreasing order.\nAnswer: 4, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -375 or -370?\nAnswer: -375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from {j: 1, m: 1, e: 1, r: 1, t: 2, i: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + -1. Let j = -2.11 + -19.09. Let m = p - j. What is m rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-45))\/((-390)\/325).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1902 + 874. Find the first derivative of -203*a**4 + 1387*a + 1389*a - 54*a**4 + 133 - u*a wrt a.\nAnswer: -1028*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*f - 38*f - 10. Let k(n) be the third derivative of 1\/15*n**f + 0 + 0*n**3 + 4*n**2 + 1\/12*n**4 + 0*n. Find the second derivative of k(p) wrt p.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8809*w = 8814*w - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16745, 16743, 16741, 16739?\nAnswer: 16737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 124 = 76. What is the remainder when u is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37245 - 0.5.\nAnswer: -37245.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 28e9c1 (base 16) in base 8?\nAnswer: 12164701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62 + 64. Let d(c) = -c**5 + c**4 - c**3 - c**2. Let p(m) = -17*m**5 + 89*m**4 - 98*m**3 - 67*m**2 - 9*m. Let i(s) = j*d(s) - 2*p(s). Factor i(l).\nAnswer: 2*l*(l - 3)**2*(4*l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10184549\/22 + 462844. Let c = -90 - q. Let p(u) = -u**3 + 5*u**2 + 7*u - 6. Let z be p(6). Is c > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 1:06 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 10. Let d(z) = -z**3 + 22*z**2 + 14*z**2 - 37*z**j + z + 5. Let i be d(0). Is i bigger than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 17*l**2 - 15*l + 1. Let s be x(16). Suppose 23*f = s*f + 72. Suppose 3*r = 4*c - 141, 4*c = 5*r + f + 135. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 + 6 = 2*o. Let t be 2\/(o\/39) + (-6)\/10. Solve 4*p = g + 1, -t*p - 1 + 3 = -2*g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249.2608827 rounded to 1 decimal place?\nAnswer: 249.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 1\/12*f**4 + 0*f**5 + 0 - 7*f**2 + 0*f - 1\/60*f**6 + 0*f**3. Factor m(s).\nAnswer: -2*s*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6746432 divided by -28\nAnswer: 240944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 429 = -h, -7*h + 2109 = -2*h + 3*x. Is h a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nsnn when four letters picked without replacement from {s: 4, n: 15}.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -10*g - 3*g - 3*g. Is 2\/10063 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1022*n**3 + 502*n**3 - 3*n**2 + 3*n**2 + 556*n**3.\nAnswer: 36*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.342 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7652.781 micrometers?\nAnswer: 0.000007652781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3203, -3206, -3211, -3218, -3227?\n\"Answer: -v**2 - 3202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/2 + 44*p + 968.\nAnswer: (p + 44)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbbbbbelobbo. What is prob of sequence bob?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1635044 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(98)*-3 + 0 + sqrt(98))**2 + 0.\nAnswer: -56*sqrt(2) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43489330?\nAnswer: 2, 5, 4348933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 12*i**2 - 9*i - 17. Let k be y(12). Let f = -206 - k. Let m = 137 + f. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/30*2)\/((-112)\/168)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 4*v - 31276, 18767 = 3*g - 6*v + 5*v. Suppose 16*x + 18*x = g. Is 23 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 6*d**2 - 9*d - 8. Give s(8).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 11\/2 of a millennium?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*t + 13 = 0, -t = 4*p + p - 20. Suppose 0 = -0*h + 5*h. Let v be (1 - h)\/(1\/(-2)). What is the third biggest value in -4, p, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 764716941?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*h**4\/3 - 324*h**3 + 17584*h**2\/3 - 4796*h - 726 = 0 for h.\nAnswer: -33, -3\/23, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -19. Sort h, -1, -2 in ascending order.\nAnswer: h, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -775*f + 760*f + 3690. What is the greatest common divisor of f and 328?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.707374332 rounded to five decimal places?\nAnswer: 0.70737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 311*o**4\/12 + 7299*o. Let l(q) = 10*q**2. Determine l(s(m)).\nAnswer: 967210*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330 and 120.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 198\/330*(-25)\/135?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 173 - 307. Let p = m + 130. Which is bigger: p or -6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2976264235 - 2.38?\nAnswer: -2976264237.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 357 and 18937779.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -111 + 110.9. Let g(y) = -10*y. Let s be g(1). Let v = s - -15. What is the closest to n in 0, -1, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5152379962 to the power of 1\/3, to the nearest integer?\nAnswer: 1727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13981 take away 0.1?\nAnswer: 13980.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3596 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.1 - 0. Let j = c - 0.8. Sort j, -2, 3 in decreasing order.\nAnswer: 3, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2482171 (b) -2\/5 (c) 4\/5 (d) 2 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -h - 1. Let w be (h - -1)\/(3\/2). Put w, 0, 5 in ascending order.\nAnswer: 0, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 9*p**2. Let c(r) be the third derivative of 5\/8*r**4 + 0*r + 0*r**3 + 2 - 32*r**2. Give f(c(j)).\nAnswer: 2025*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.392068*-0.67.\nAnswer: -0.26268556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 13) to base 16\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 r when two letters picked without replacement from rrrvrzzzrvrrvvvrv.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z - z - z)*(2 - 2 + z) + (-2 - z + 2)*(z - 2*z + 2*z) - 5130898 - 5*z + 10*z**2 + 5130898 to the form x*z**2 + n*z + f and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 12 = -3*s, -6 = -4*g + g. Suppose 16*p - 120 + 40 = 0. Sort s, p, 33.\nAnswer: s, p, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 12 + 2 - (18 + 17 + -36).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (5 - (-1 - 2 - -6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.19347 - -21.7386\nAnswer: 20.54513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 712381 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/6738992 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -0*r. Suppose r = -6*g + 2*g + 24. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**3\/3 + 7*w**2 - 9*w - 19. Let h be c(13). Let g(l) = 3*l**3 + l**2 - 1. Let v be g(1). Solve -h*d = -v*d - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + z + 2*f - 1 = 0, 0 = -f + 5. Suppose -15 = -3*r - 5*y, -3*r - z*y + y = -6. Does 13 divide 22\/2 + 2 - r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*c - 6*b + b, -15 = -5*c - b. Suppose 2*d = h + 6 + 7, 0 = -c*d + 2*h + 12. Solve 3*m = d*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*((-174)\/580)\/((-1)\/5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 4*s - 42, 2*s = -67*x + 68*x - 4 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/(v*v**10))*v**(-11)*v**(-30)*v**(-37) assuming v is positive.\nAnswer: v**(-67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001433 rounded to 5 dps?\nAnswer: -0.00143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-25 - ((-8 - 5) + 6)) + 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204528801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 536.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 411*r - 5*r**3 + 21 - 411*r.\nAnswer: -5*r**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 + -1)*(-7 + 0). What is the greatest common factor of 18 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5.1 (b) -9\/2 (c) 0 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/((g**(2\/5)\/g)\/g*g))))\/g*g*g)**(-27)*g**(-1)*g*g**(-3)*g assuming g is positive.\nAnswer: g**(-361\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 15*p**2 - 16*p + 25. Let k be h(14). Let d = -12 + 21. What is the units digit of d\/6*(-20)\/k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1270953 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -263, -5.\nAnswer: -263, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 132\/(-30)*(-5 - 0). Suppose 2*d = -5*y + s - 2, -y = -5*d - 4. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6292 and 318604.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -7*t**2 + 86*t + 2. Let d(z) = 20*z**2 - 260*z - 6. Calculate 11*c(j) + 4*d(j).\nAnswer: 3*j**2 - 94*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4249.\nAnswer: 7, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 + 6*y**2 + y**2 + (2 - 5 + 0)*(2*y**2 + 3 - 3).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2056\/369 + -192\/41. Let s(b) be the first derivative of 0*b - 4\/5*b**5 - z*b**3 + 0*b**2 + 3\/2*b**4 + 6 + 1\/9*b**6. Factor s(h).\nAnswer: 2*h**2*(h - 4)*(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a9d6 - 198e?\nAnswer: 9047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 179\/700 - -3\/100. What is the second smallest value in -2\/17, x, -27, 4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*x + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188020, 376032, 564046, 752062, 940080, 1128100, 1316122?\nAnswer: 1504146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-3)*6\/(-1). Let f = -2 + 2.06. Let n = f + -5.06. Put n, x, 4 in descending order.\nAnswer: 4, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*n + 135, 5*x + 11*n + 134 = 7*n. Let o(j) = -4*j - 99. Let q be o(x). Solve -4*k - 4*z = -24, -q*k = -3*z - 8 - 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2628223749 - 2628223749 - 9*i.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3616 and 339?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1458 - 1584 - 2305*t + 364*t + 0*t**4 - 295*t - 68*t**3 + 736*t**2 + 2*t**4.\nAnswer: 2*(t - 13)**2*(t - 9)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 174*s - 335*s + 170*s as h*s + f and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 2*v - 145. Let a be f(-13). Let j(b) = -b + 8. Let x be j(6). Put -3, -9, x, a in descending order.\nAnswer: x, a, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**5\/20 - 5*g**4\/12 + g**3 - 3*g**2 - 8*g. Calculate o(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 12:01 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - t - 1. Suppose 0 = 10*i - 9*i + 1. Let q be 6\/(-4)*4\/6. Let m = q + i. Give l(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 + 8*v**2 + 9*v - 11. Let x be b(6). Let h = x + 120. Solve 4 = -3*o + h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -15.1, 4397?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17871, -17866, -17861?\n\"Answer: 5*x - 17876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) 0.4 (c) -897\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -38, -188, -452, -830, -1322, -1928, -2648?\n\"Answer: -57*s**2 + 21*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.32541 months in millennia?\nAnswer: 0.0105271175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/2552 and 47\/348?\nAnswer: 7656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4788 and 385966?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/2289123 and 87\/2034776.\nAnswer: 18312984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**2\/7 - 1307820*s\/7 + 3736800 = 0. Calculate s.\nAnswer: -435960, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.02, 7, 18.9?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61064820221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 548.9012 centuries to decades.\nAnswer: 5489.012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 10*k**2 - 8*k - 6. Let z be u(9). Let v(l) = -6*l**z - 1 + 7*l**3 - l**2 - 2 - 2. Give v(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.153 times -3947.9?\nAnswer: -604.0287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i + 407*i**3 + 6*i**5 - 407*i**3 + (-4 + 4 + 3)*(5*i**5 - i**5 - 3*i**5).\nAnswer: 9*i**5 + 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -18. Suppose -3*v + y + 585 = 152, 294 = d*v - 2*y. What is the remainder when v is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*w + 885, 4*f + 1184 = 3*w + w. What are the prime factors of w?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/3, -74, -0.3, -1, -3, 13\/4?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(9)\/(sqrt(36)\/(sqrt(108) - sqrt(12) - sqrt(12)) + sqrt(3))*5 + 2).\nAnswer: -25*sqrt(3)\/2 - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -57*b**4 - 173*b - 10963.\nAnswer: -228*b**3 - 173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25746863 to the power of 1\/2, to the nearest integer?\nAnswer: 5074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/145 and -79\/40.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-19)\/38)\/(2\/4))\/(-11).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-371.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7322 by -2.\nAnswer: 3661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 = 4*q - 1, -5*a + 10 = 0. Let i(f) = 41*f + 6. Let y be i(q). Solve c = -4 + y, -2*o = -c + 10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 370 = -405 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*m + 79*m + 96 = 0 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 154559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + 5 + (12 - (1 - 5))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-6 - -8) + -17 - (66 - 49).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 383 divided by -16.\nAnswer: -383\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17\/3, -4, 0.2, 338\/3, -2 in ascending order.\nAnswer: -4, -2, 0.2, 17\/3, 338\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8 - -14)\/(6\/1). Sort 7, -5, 5, z in decreasing order.\nAnswer: 7, 5, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6227\/3240 - 67\/40. Let h = m - 7127\/324. Calculate the common denominator of h and -93\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 160*q**2. Let h(y) = -8*y + 20. Let f(u) = -13*u + 32. Let c(i) = 5*f(i) - 8*h(i). Give v(c(z)).\nAnswer: 160*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -29. Is -6\/5 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from eeeqqakjkqkkqejjkekq.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 402811295 to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3194981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**3 + 89*x**2 - 3016*x - 63. Let i be m(-67). Solve i*q + 27 = -5*v, 3 + 18 = -2*v - 5*q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (18 + -1 - 11) + -14 + -7 + (65 - -4)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a litre in millilitres?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010889457 to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 2850509.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*v + 23242 = 3*q - 47*v, 2*v = -2*q + 15492. Calculate the remainder when q is divided by 88.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5 = -15. Suppose 0 = 2*o - f + 15, 2*o - 9 = 3*f - 14. Let q(d) = -4*d**2 - 39*d + 18. Calculate the smallest common multiple of w and q(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 191*z**4 + z**3 - 132036*z**2 wrt z?\nAnswer: 4584*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 325*p**3*z + 2*p**3 + p**2*z - 52*p**2 + 55*p*z + 132872*p + 10*z - 1 wrt z.\nAnswer: 325*p**3 + p**2 + 55*p + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/248830 and 49\/18?\nAnswer: 2239470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17a685a (base 11) in base 15?\nAnswer: -404ed2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1876, -1894, -1912, -1930, -1948, -1966?\nAnswer: -1984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/100351173 and 52\/28304177?\nAnswer: 1103862903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4270139\/259 - 16487. Is u less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10310 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -375, -927, -1773, -2955, -4515?\nAnswer: -6495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2080 - 1919.51. Round n to the nearest integer.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2003.6727s?\nAnswer: 0.02319065625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91 - 93. Put 4, v, -5 in decreasing order.\nAnswer: 4, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.560792cm to micrometers.\nAnswer: 15607.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3.06, -2, -1\/1098, 1.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a milligram in micrograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 28107835786 and 4.\nAnswer: 28107835790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8772?\nAnswer: 2, 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - -18. Suppose 7*p - 4*p - q = 0. What is the remainder when p is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, -2, 5 in ascending order.\nAnswer: -6, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002614631 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) -1\/13 (b) -1 (c) 0 (d) 1 (e) 0.22 (f) 0.23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + 260. Let b = -294 + x. Solve -b*g - 1 - 17 = 3*m, 2*g - 4*m = 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2688751789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 1. Let g(c) be the first derivative of 19*c**2 - 5*c - 5096. Determine g(t) + 4*p(t).\nAnswer: 38*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -28 * 20342.9\nAnswer: -569601.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*x**2 - 6*x**3 - 15*x**3 - 15*x**2 + 27*x**2 + 3*x**4.\nAnswer: 3*x**2*(x - 4)*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 9. Suppose m = 3*w - 5*a + 15, a = 0. Let c(i) = 2*i**2 + 7*i. List the prime factors of c(w).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - -2 - (-12 - (-5)\/1). Solve j*c = 9*c + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15951137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/(-6) - -2)*-4. Suppose -1 = y - 5*a, y - 2*a = -j*y + 49. What is the remainder when 169 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -606*v**3 - 2297*v - 610 + 2297*v - 135 wrt v?\nAnswer: -1818*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3033, -3039, -3055, -3087, -3141?\nAnswer: -3223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 7*z + 84. Let f(l) = -16*l + 20. Let u(m) = 3*m - 4. Let r(b) = -2*f(b) - 11*u(b). Determine r(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11777811*t**2 - 157086*t wrt t.\nAnswer: -23555622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22619 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367*f = -68*f + 110*f - 1625 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(243)*-2*-2 - ((sqrt(243) - (sqrt(243) - sqrt(243)*-1)*-2) + 3 + sqrt(243)*-1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 7. Let z be i(3). Let s be z\/8*-1 + (-7)\/(-2). Solve v = 2, 4*v = s*n - 2*n + 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from ohhhohohhffohhhhhf.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82 + 40 - 55)*(2*h**3 + h**2 - h**2) + (2 + 2*h**3 - 2)*(0 - 2 + 4).\nAnswer: -190*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 106.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -85, -178, -271, -364, -457?\n\"Answer: -93*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106 + 102 + 132*p**2 - 208.\nAnswer: 132*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 5*o + 6. Let q be v(3). Suppose 0 = -2*t - 2*t + 3*p + 853, 4*t - 5*p - 843 = q. Is t a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tcee when four letters picked without replacement from {t: 6, e: 2, j: 3, c: 1, s: 4, f: 4}?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238*s - 3305 - 46 = 2123. Suppose -3*i - l + 2 = 0, -3*i + 5*l = 4 + 6. Solve -3*c + s - 20 = i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66528 by -1232.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c + 25 = 2*m, m - 20 = -5*c. Suppose 29 = -3*s - m*k, -s - k = k + 11. Sort -2, s, 4, 3 in descending order.\nAnswer: 4, 3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - 5*f - 16, 0*c = 8*c - 2*f + 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + (-50)\/15)\/(4\/(-6)). Sort -12, 1, i.\nAnswer: -12, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 715 - 1002. Let j = d + 307. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 80\/150 - (0 + 2\/5). What is the closest to -1 in -0.4, v, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (6 - 12) - -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 0.5, -5, -7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10514.2ml in litres?\nAnswer: 10.5142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -459 + -cdfcb?\nAnswer: -ce424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21072*h**2 + 8219*h**2 + 3726*h**2 + 5523*h**2.\nAnswer: 38540*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 11*o - 38. Let t be p(16). Suppose -i = 5*m - 52, i = -5*m + 5*i + t. Solve -3 = -z - 5*h, 5*z = -2*h + 5 + m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2, 6812 = 3*p - 3*h + 5*h. Let q be (-3 + 6)\/((12\/p)\/1). Suppose -13*m + 992 = -q. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c - 136*c**2 + 3*c + 129*c**2. Let s be r(-1). Let f(g) = -g**2 - 7*g + 8. Determine f(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(50\/275)*(-58)\/(-11)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from {s: 3, k: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -a + 4, -2*a + 0 = -2*p - 8. Suppose a*r - 14 = -6. Is (33 - (r + -1)) + -2 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 384 divide 60842496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/(i*i**(-2\/13))*i**1\/((i**(-3)\/i)\/i))\/((i\/((i\/(i**1*i))\/i))**(2\/39)*i**6*i*i**(2\/7)) assuming i is positive.\nAnswer: i**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1408425841*s**3 - 4225052349*s**2 + 675513*s - 27.\nAnswer: -(s + 3)*(37529*s - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 17, -5, -162.\nAnswer: -162, -5, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 22595?\nAnswer: 22595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 881.88 and 0.1?\nAnswer: 88.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(9\/7))\/x**(-2\/97)*(x**(3\/17))**(-1\/52) assuming x is positive.\nAnswer: x**(-161157\/600236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*m**2*y**2 - 8*m**2*y - 21*m**2 - 10*m*y**4 + 4*y**2 wrt y.\nAnswer: -30*m**2 - 120*m*y**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-22)*1133\/(-206). Sort s, -75, 2\/3 in descending order.\nAnswer: 2\/3, s, -75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/18 - 4\/60*-5.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*q + 35 = 152*q. Let c be 19 - 2\/1 - 0. Sort c, q, -2.\nAnswer: q, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14839 is divided by 4929.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 381673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3\/2 - 22*f**2 - 117*f\/2 + 22.\nAnswer: -(f + 4)*(f + 11)*(3*f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -14. Let t be (v\/(-9))\/(1\/(-3)). Let x = 7 + t. Solve 4 = c + x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*c - 8*c, -159 = 5*u + 2*c. Let h = 87 + u. Let -4*r**5 + 16*r**3 + 22*r**2 - 153*r**4 - h*r**2 + 161*r**4 = 0. Calculate r.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4) - (-41)\/(-70). Let d(g) = g + 2. Suppose -t + 5*h = -3*t - 14, 0 = -4*t + 3*h - 2. Let x be d(t). Is x bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.37, 1\/4, -11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5\/2)\/r**(4\/11))**(6\/13)*(r*r**(-1\/4))**37\/((r**(-7\/3)*r)\/r*r*r**(1\/4)) assuming r is positive.\nAnswer: r**(23605\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/12)\/((-1)\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*f - 156*f - 3217 - 1345 - 986 = 0 for f.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*j - 81*j - 17*j + 1448 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 10 + 10)*(-5 - 6 + 3)*(3*f - 3 + 3).\nAnswer: -408*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3282. Let z(w) = -274. Let m(j) = 3*n(j) - 36*z(j). Let p(b) = b - 17. Calculate -2*m(t) - 3*p(t).\nAnswer: -3*t + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.853 - 13.0467?\nAnswer: 1.8063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-1 - 0) - (2 - -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2131800 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 42836087669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3\/7 - 93*n**2 - 648*n\/7.\nAnswer: -3*n*(n + 1)*(n + 216)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 2.0986?\nAnswer: 1.9014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20287598 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 156\/27 - (8\/18)\/(-2) and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 + -39. Let l be 3\/6*-1*(0 - o). Which is the closest to l? (a) -0.4 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c. Let p(z) = -20811322*z. Give p(d(k)).\nAnswer: 20811322*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 6:51 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4009680 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -3. Is -2 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151068, -302132, -453196?\nAnswer: -604260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1810177 + -0.181. Round j to 6 decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 33*j**2 + 19*j + 39. Let n be t(-32). Let a = -433 + n. Calculate the smallest common multiple of a and 34.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 963549021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 3 (c) -5 (d) -5\/2 (e) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6326485 to the nearest integer?\nAnswer: 2515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -4 + 0*m**3 - 1\/2*m**2 + 0*m**5 + 0*m + 0*m**4 - 1\/6*m**6. What is the second derivative of a(y) wrt y?\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 6*s + 1285. Let n = -58 - s. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369566 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h = 1411*h - 338*h + 508*h - 185679 for h.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 941820 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-1\/3)*y)\/y)**(-27)\/(y**5\/y*y**(1\/5)\/y))\/((y**(1\/2))**(1\/2)\/(y\/(y**(-2\/13)\/y)*y*y**(1\/5))) assuming y is positive.\nAnswer: y**(-941\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from foffffoofooffofofoof. Give prob of picking 4 f.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + -10?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-8))\/((-102)\/68).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) 0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 10) + 40 + -55.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yaaww. What is prob of picking 1 w and 2 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*z**2 + 240*z**2 - 15*z**3 - 4 - 106*z**2 - 83*z**2.\nAnswer: -15*z**3 - 48*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o - 5*o - o. Let p(r) = 4*r + 0*r - 6*r - 14 - 19*r. Let a(l) = 7*l + 5. Let y(b) = -14*a(b) - 5*p(b). Determine y(q(x)).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 8*t - 200. Let o be p(25). Solve -2*i + i - 5 = -5*m, -i + 4*m - 4 = o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 2 = 2*x - 8, 0 = 5*x + 2*r + 33 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-34022)\/(-10) - 181\/905. What is the highest common factor of d and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.5697 and -75.\nAnswer: 192.7275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -352025025 (base 6) to base 13.\nAnswer: -147a9a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -65504 + -16?\nAnswer: -65522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + 1 + sqrt(832) + 0)**2.\nAnswer: 32*sqrt(13) + 3329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 3205*k**2 - 45605*k + 160475.\nAnswer: 5*(k - 7)**2*(k + 655)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 245 + -270. Let l = -21 - d. Solve 3*v + v + l = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*j + 13*j. Let m(r) be the second derivative of j*r**3 - 5\/2*r**2 - 1\/10*r**5 + 8*r + 0*r**4 + 0. What is the first derivative of m(g) wrt g?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/8 + (-270)\/(-8). Suppose -x - x = -m. Let y = -135 + 203. What is the highest common factor of y and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24706661461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, d: 2}. Give prob of sequence dd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -18, 3 in ascending order.\nAnswer: -18, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20370.04 - -20370. Which is the third smallest value? (a) 0.2 (b) r (c) 2\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 12:01 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*a**3*q + a**3 + 2*a**2 + 34*q**4 + 6 with respect to q.\nAnswer: 4*a**3 + 136*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14, 29, 54, 95, 158, 249?\n\"Answer: l**3 - l**2 + 11*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = 5*a - 4*n, -3*a = -2*n + 35 + 14. What is the units digit of 8*(a\/(-3) + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 11:59 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 4*p - 8. What is the third derivative of p*y**3 - 4*y**2 + 27*y**6 - 29*y**6 - 2*y**3 wrt y?\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1400 is divided by 131.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 65. Let d be s(63). Solve d*p + 145*t = 141*t + 14, 0 = -5*p - 4*t + 35 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/3, -25\/3, 0, 1, -52578, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509 a factor of 1095147696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50117*j - 50212*j + 950 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = k - 3, -4*k + 0*q + 30 = -2*q. Suppose -2*t + k*t - 10 = 0. Let -9*m**4 - 3*m**3 + 5 + 6*m**t - 3 + 1 - 3*m**5 - 3*m**3 + 9*m = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004443 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3\/2))**(-44)*(m**3)**14)**(2\/59) assuming m is positive.\nAnswer: m**(216\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 0*l - 7*l + 2*l + l. Let w(b) = 4*b + 7. Let d(o) = o + 2. Let f(q) = -7*d(q) + 2*w(q). Determine f(v(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (187700\/(-3754))\/((-25)\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0*2734401\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 10:19 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420644 is divided by 758.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6) - (-17 + 294\/18). Let s(z) be the first derivative of -10 + 0*z**2 + x*z + 7\/3*z**3 + 1\/2*z**4. What is the third derivative of s(f) wrt f?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1243 + -1247. Sort 1, n, -35, -1 in ascending order.\nAnswer: -35, n, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*p - 4, -16 = -272*p + 267*p + 3*i. Factor 3\/5*l**3 - 3*l**p + 36\/5 - 24\/5*l.\nAnswer: 3*(l - 6)*(l - 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49195 is divided by 16388?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -655 (b) 8 (c) -2 (d) -13\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -0.05 (c) -93.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-339*a + 1232*a - 133*a + 970*a)*(9*a**2 - 15*a**3 - 9*a**2).\nAnswer: -25950*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = 12*n - 212 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 26 = 3*m, 0 = -5*m - 3*u + 4 - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express b - 6*b**2 + 7*b**2 - 4*b - 10*b**2 as t*b + o*b**2 + y and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(612) + -6*(sqrt(612) - (-1 + sqrt(612) - sqrt(612))) + 4 - (4 + (sqrt(612) - (sqrt(612) - (sqrt(612) + 1)) - sqrt(612)) + 5))*-5 + -2)**2.\nAnswer: 73200*sqrt(17) + 1544884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1938067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1395200 - 2790397\/2. Determine c so that 6 - a*c**2 + 2*c - 1\/2*c**3 = 0.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 0. Suppose 3*b - 5*m = -25, 6 = -4*b + m + t. Suppose -4*u + 5*u - 13 = b. Solve -4*h + 4 = 4*a, -3*h + h - u = -a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 2*w**2 - w - 3. Let n be q(1). Solve -4 - 1 = -5*r - m, -n*m + 15 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - w - 2. Let k(f) = 2*f**2 + 3*f + 4. Let i(o) = -3*o - 1. Let j be i(-1). Determine j*k(b) + 5*l(b).\nAnswer: -b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 152931965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 8 (c) -1\/4 (d) -0.7 (e) -621\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/2, -5, 0.07, -0.1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 898710*n + 9886415.\nAnswer: -5*(n - 179753)*(n + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*d = 7, -10 = -3*a + 2*a + 2*d. Put 3, a, 5, -5 in decreasing order.\nAnswer: 5, a, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19850, -39698, -59546?\nAnswer: -79394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-10 + (27 - 13))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011110 + -220122?\nAnswer: 20211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-412*v**3 - 1312*v**3 - 233*v**3)*(-3*v + 6*v - 2*v) to the form d*v**2 + q*v + g*v**3 + w*v**4 + a and give w.\nAnswer: -1957","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 454723571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-139)\/(-2780))\/(1\/4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l + 8. Let w(m) = 9*m - 156. Let r be w(18). Let v be b(r). Solve -3*n = 6, v*x + 0*x + n - 2 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -33, -110, -245, -444, -713, -1058, -1485?\n\"Answer: -g**3 - 23*g**2 - g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 8. Let j(b) = -2*b + 23. Let a be 1\/((-2)\/32*-4). Let r(n) = a*j(n) + 11*q(n). Let x(h) = h + 1. Let p be x(-6). Calculate r(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(1*-1) - 0\/(-345). Let t(r) = -r + 8. Let d be t(-6). Suppose -p*f + d + 13 = 0. Calculate the smallest common multiple of 12 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/4 (b) -5 (c) 1\/2 (d) 837\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-7) - 198\/(-42). Suppose 4*i + 0*i = -d*o + 971, i = 4*o - 760. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -11, -0.3, 5\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (0 - 0) - -2. Is (-2 + a)\/(5\/(-20)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 + 1.6. Let h = -211\/3 + 71. Which is the closest to i? (a) -4\/7 (b) h (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 27\/5 of a kilometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 453375 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 7 - 2*o - 7)*(2 - 1 + 0)*(-4*o + 3*o - 3*o).\nAnswer: 8*o**2 - 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/8 - (129099\/2760 + -50)?\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 2 (c) 6.57738 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Add together 259.7 and 0.4.\nAnswer: 260.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 14319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {p: 15, m: 3}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*g = 77*g + 5*p + 2980, 5*g = 3*p + 2990. Is g a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r*r**(1\/3)))**(2\/17))**44 assuming r is positive.\nAnswer: r**(176\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-3))\/((-5)\/690*3). Let u = 49 - t. Suppose -u*v - 7 + 32 = r, -91 = -5*r + 2*v. Calculate the remainder when 36 is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*h + 29 = -3*s, 6 = -2*h. Suppose 10 = -l + c + 3*c, -3*l = -2*c - s. Let v be 440\/594*l\/(-4). Which is greater: -2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 56. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 9*t + 9. Let y(h) = 8*h**2 - 8*h + 18. Let x(a) = -a**2 - a - 1. Let r(j) = 10*x(j) + y(j). Let n be r(t). Solve n*f + 5 = 3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x. Let z(o) = -5*o. Suppose -j = 5*y - 35, -28 = -5*y + 2*j - 8. Let g(b) = -b + 3*b - b. Let s(d) = y*g(d) + z(d). Give s(v(c)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44 + -4 - 43) + (52\/28 - (-2)\/7).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 - 23. Suppose -5*h + s = 8. Solve 0 = -5*k + 25, k + h*k = 3*p + 26 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 3 + 2*v**2 - 24*v + 47*v - 37*v. Let x be w(10). Let o = x + 58. Solve -6*f + o = -3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34678.41 - 34306. Let m = 371 - r. Put m, 1\/5, 5 in descending order.\nAnswer: 5, 1\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67.4 + 62. Let b = v - -0.4. Let f = 10924\/35 - 1562\/5. What is the closest to -1 in b, f, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8915 is divided by 972?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28.387 - -0.113. Let c = w - 30. What is c rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 6*m + 3. Let f = 158 - 157. Let h(v) = v**3 - v**2 - 2*v - 1. Let p(c) = f*l(c) + 3*h(c). Find w such that p(w) = 0.\nAnswer: 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -0.018?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1688464958 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 3*x**2 + 3*x + 1. Let m be z(-4). What is the least common multiple of (-2)\/4 - (-9)\/2 and m*4\/20 - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-10)*p**(-2\/13)*p*p*(p**(-14)*p)\/p**(9\/4))**32 assuming p is positive.\nAnswer: p**(-9736\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**4\/3 - 10*z**3\/3 + 24*z**2 = 0.\nAnswer: -9, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**4\/16 + 3*o**3\/4 + 15*o**2\/8 - 24*o. Solve m(v) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/sqrt(9) - sqrt(10))\/(3*sqrt(2)*4).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d + 6 - 12*d + 11*d - d**2 + 6*d. Calculate v(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7988 (base 11) in base 9?\nAnswer: -15358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -4, 10, 8576, -0.2, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -46*n**3 + 1. Let p be t(1). Let f be 300\/p*(-6)\/8. Suppose f*i - 913 = 262. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 215 - 320. Let i = 7 + -3. What is the tens digit of (-21)\/(-28) - p\/i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 517\/6 + -129079\/1498. Is 1 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 3)\/(3*(-4)\/(-942)). Let k = w + 33. Let i = -69 - k. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/3)\/((-4)\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/(-24))\/(51\/2))\/(((-560)\/(-126))\/(-20)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, q: 7}. What is prob of picking 2 i?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -123*i + 109. Calculate h(2).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/606 + 9532\/1515. What is the common denominator of u and (-78)\/40*25\/(-45)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127 divided by -127\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21691 is divided by 1083?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + l. Let d(v) = 2*v**2 + 3*v + 1. Calculate d(i) - 3*x(i).\nAnswer: -i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/16*-46*42\/8211?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j*x**2 + 10994*j*x - 134031*x**2 with respect to j.\nAnswer: 3*x**2 + 10994*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -42506.\nAnswer: -2\/21253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010201 (base 3) in base 16?\nAnswer: -33d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3524 or -109?\nAnswer: -3524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 5*p**4\/24 - p**3\/6 + p**2. Let q be z(-1). Let y be 17602\/4 - (-3)\/q. Round y to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 165 divided by -55\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 50403?\nAnswer: 1\/50403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**3 + 2*r - 1. Let u(l) = l**3 + 1. Suppose 3*x - 7*x - 8 = 0. What is x*u(j) - b(j)?\nAnswer: j**3 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1977966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69\/95 - -10\/19. Let k be (-20)\/30*-3*1. Let f = 9\/2 - 33\/10. What is the smallest value in n, k, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 126, 257, 390, 525, 662?\n\"Answer: u**2 + 128*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 7*l**2 - 18*l + 35. Let h be m(2). What is the smallest value in 2\/3, 9, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + -2 - 3 - 2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 613 a factor of 423322402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d - 31?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 54*n**2 + 72*n + 69. Is j(50) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 72595.06 meters?\nAnswer: 7259506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.051572814 rounded to three decimal places?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3135, 12818, 28965, 51582, 80675, 116250, 158313?\nAnswer: 206870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 - -107. Let o = d + -31. Suppose 4*n - o*k = 104, -4*n + 4*k + 42 = -2*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/(-4 - -11)*(-6 - 0). Suppose v + 2 - 14 = 0. Let l be v - 10 - p\/(-11). Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*g + 2*g = 12, 3*g = -q - 12. Suppose q = 34*m - 39*m. Suppose -5*c + 416 + 519 = m. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 p when two letters picked without replacement from {z: 2, v: 12, p: 2, m: 2}?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(-20)*-4 + 6 + -10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)*v)\/(v*v*v**1*v)*v**(-1\/5)*(v\/(v\/((v**5*v*v)\/v)*v))\/v assuming v is positive.\nAnswer: v**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 102\/(-12) + 6 - 9\/6. Is 12 a factor of (58\/(-15) - c) + 41028\/90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 1 (c) 4 (d) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 103113463 to the power of 1\/4, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 156*n**2 - 2*n + 1. Determine z(1).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 + b**2 - 2*b - 4. Is n(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/8)\/((-1)\/4). Let n be (6\/4)\/v*0. Suppose -4*d = -2*q - q + 58, n = -d - 4. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -479*w**2 - 675388*w\/5 + 564\/5 = 0.\nAnswer: -282, 2\/2395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/7 + 2232*x\/7 - 1280.\nAnswer: 2*(x - 4)*(x + 1120)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**3 - 1083*p**2 - 96096*p + 298116 = 0. Calculate p.\nAnswer: -182, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = -2*w. Let u = -7 - w. Suppose 0*p + 20 = -5*p. Put 1, u, p in increasing order.\nAnswer: u, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323315 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(-65)*10\/(-30)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 28, 39, 52, 67, 84, 103?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(693\/(-6)))\/(5\/15)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 210 = k, 6*t = 4*t - 10. What is the remainder when k is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 3*o - 9*o**3 - 3*o.\nAnswer: -9*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36983526583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 - -59. Let t(n) = n**2 - 2. Let l be t(0). Let w be 0*l*2\/(-8). Solve -m*k = -w*k - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-180) - (-292)\/72. Put 5, 0, -1, r in decreasing order.\nAnswer: 5, r, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -6, -159*b + 148*b + 2*a = -10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -40641172 divided by 11\nAnswer: -3694652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 8. Let p = f - 5.5. What is the nearest to 0 in p, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 23 - 25*i**3 + 16 to the form z*i**3 + m + w*i + o*i**2 and give z.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*j = 995 + 10417 for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 10:02 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-60) + 10\/12)*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 2*r + 19 - 3, -2*i - 3*r = -16. Suppose -i*q + 0*q = -16520. Suppose 3*h + 15740 = -q. Round h to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -1134*o - 630554. Determine x(-556).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15766*d**3 - 8456*d**3 - 10448*d**3.\nAnswer: -34670*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 1162?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4662*-749.\nAnswer: -3491838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25\/(-10)*(6 + 0). Let l be (16\/10)\/((-2)\/y). Let t = -131 - -227. Calculate the highest common divisor of l and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + ((-32)\/(-20))\/(2\/5). Suppose -n*l = 41 - 104. Let g(p) = p**2 + 2*p. Let y(o) = 4*o**2 + 9*o. Give l*g(f) - 2*y(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 2)*(-4*d - d + 2*d)*(-2*d - 11 + 11) + d**2 + 0*d + 0*d + (-3 - d + 3)*(-d + 2*d + d) in the form z*d**2 + u*d + r and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iifffifiiififfii. What is prob of sequence iiff?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4176 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-14)*(22\/(-6) + 4). Which is the closest to -0.1? (a) 2 (b) q (c) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/13 + -29\/52. Suppose -9*g = -2*g - 14. Suppose 2*z - 2*h + 2 - 8 = 0, -g = 4*z + 3*h. Is n greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16150 and 117725.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 32, 27, 22?\n\"Answer: -5*g + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4070599?\nAnswer: 13, 17, 113, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**3 - 8*r**2 + 8*r + 7. Let w be l(-7). Let o = w - 89. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6225320 is divided by 96?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -572*h + 1731*h - 573*h - 581*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(((l*l\/l**(-15))\/l)\/l))\/((l**9*l)\/l))\/((l**(-38)\/l)\/l**(1\/70)) assuming l is positive.\nAnswer: l**(1121\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 1 = 6*o + a, -4*o - 2635 = 2*a - 2621 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8\/38*-3*(-2)\/(-12)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + h = -5, -8 = -0*l + 3*l + 5*h. Let y be 2\/1*l\/(-2). What are the prime factors of y - -1*7 - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1009, 5, 2, -4, 0 in increasing order.\nAnswer: -1009, -4, 0, 0.1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 1710*m - 1707*m = 8, -3*m - 8 = -2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -25*v**2\/2 + 21*v + 4. What is the derivative of o(c) wrt c?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 11:16 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*h + 2*a - 4 = 0, 4*h - 5*a - 8 = 0. Suppose 2*m - 2 + 0 = -4*p, -4*p + h*m = 2. Solve 5*k + 15 + 10 = p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-4) + (-2)\/8. Is u - 1 - -13 - -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 divided by 6.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a = 14*a + 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -337*h**2 + 174*h**2 - 659*h**2 - 826*h**3 wrt h.\nAnswer: -4956","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -17. Solve 4*p - 10 = -2*c + j*p, 0 = -c - 5*p + 17 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 363145?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-792)\/60)\/(87\/145).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b - 4. Suppose 3*k + 4*y = 44, 3*k = -2*y + 14 + 20. Calculate the remainder when i(11) is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 129889882?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from {w: 4, k: 3, p: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3376*t - 293. Let y(f) = 1687*f - 147. Let j(z) = -3*r(z) + 7*y(z). Is j(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n + 19. Let x(b) = -b + 6. Let z(m) = -4*u(m) + 11*x(m). Let c be z(10). Solve c = -g + 5*g - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5241 = -428*r - 28353 for r.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m + 4*m + 8712572 = 66*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2 = -3*m, 3*l + 3*m - 2*m = 16. Suppose 7 = -4*y - 9. Sort l, 1, y.\nAnswer: y, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*o**2 + 4*o**2 + 3*o**2 + 44*o - 46*o + 9.\nAnswer: -14*o**2 - 2*o + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 408529183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 9:45 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -531\/52 + -85\/13. Let j be (-25)\/(-12)*356\/10. Let o = -101\/2 + j. What is the common denominator of p and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18 - -6187?\nAnswer: 6169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-334)\/6*(-15)\/(-10). Let n = -91 - t. Is -8 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3820615 to the nearest one hundred thousand.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -157\/11 (c) -1\/26 (d) 134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.615 - 2.015. Which is the second smallest value? (a) u (b) -347 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 398221 from 0.1.\nAnswer: -398220.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**2 + 75910*g = 0. Calculate g.\nAnswer: 0, 37955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1217*c**4*t - 2*c**4 + 2087*c**2 - 1157*t - 5846 wrt c.\nAnswer: 4868*c**3*t - 8*c**3 + 4174*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 9:14 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -423*-3.\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-2 - (0 - 1)) - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*s + 7*s + 96. What is the third derivative of -9*q**s + 208*q**2 - 6*q**3 - 50*q**6 + 6*q**3 wrt q?\nAnswer: -6000*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 4. Suppose 0 = -4*u + 2*v + 14, -v = u - 1 - t. Suppose u*n - 38 = n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -15*v - 15*v + 20 - 12*v + 47*v. Let j be a(-6). Let w(n) = -n. Let o(s) = 3*s - 1. What is j*w(r) - 4*o(r)?\nAnswer: -2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13026354 is divided by 196.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2964 + 810. Let l = -1276 - r. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80245516.\nAnswer: 2, 13, 563, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.3 - -2.1. Which is the smallest value? (a) 0 (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**4 - 54*g**3 + 55*g**3 - 55 - 942 as m + i*g**4 + b*g**3 + q*g + z*g**2 and give m.\nAnswer: -997","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 9112*r + 10378568.\nAnswer: 2*(r + 2278)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3250 divided by 2\nAnswer: 1625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s + 20*s - 14*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 - 1. What is the common denominator of 26*7*1\/(-24) and -15*(3 + t\/(-22))?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -17*v. Solve -3*j - 4*i + 29 = v, -j + 0*i = -3*i + 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 10*h - 77. Let f be n(20). What is the first derivative of 141*o**3 - 110 + f*o**3 - 101*o**3 wrt o?\nAnswer: 489*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196992372 a multiple of 492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 4. Let n be l(-4). Let p = 16 - 15.8. What is the third biggest value in n, 1, p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -21 (b) 0.5 (c) -0.5 (d) 0.3 (e) 36 (f) 1.31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - -1*(1 - -13). Let r be (16\/6)\/((-2)\/(-15)). Let c = r - i. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6 = 2*d, -111*d + 5*g = -115*d + 27. Calculate the remainder when 181 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (5 + -9 - 3) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**3 + 3*u**2 + 3*u - 3. Let h(a) = -4*a**3 - 2*a**2 - 2*a + 2. Calculate 3*h(j) + 2*y(j).\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**5\/4 - 235*v**4\/24 - 25*v**3 + 2*v**2 + 9*v. Find l, given that z(l) = 0.\nAnswer: -15, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*q = 3*v + 65*q - 3228, -5385 = -5*v - 5*q. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgc when three letters picked without replacement from wcccnppgqppppgpwpnc?\nAnswer: 32\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -242 divided by 416379\nAnswer: -242\/416379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -4. Let i = z + -8. What is the biggest value in -5, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/17768 and 101\/1044.\nAnswer: 4637448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of 17\/6*f**5 + 0*f + 0*f**4 - 1 + 11\/24*f**6 + 0*f**3 - 76*f**2. What is the third derivative of c(d) wrt d?\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1\/4))**(7\/5)*o**(3\/4)\/((o\/o**(5\/4)*o)\/o) assuming o is positive.\nAnswer: o**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 181*a - 108. Let q be h(-7). Let c be q\/(-100) - (-2)\/8. Let l(d) = -25*d - 1. Let j be l(-2). What is the highest common divisor of c and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**2 + 9. Let f = 4 + -2. Let k(q) = -4*q - f*q - 4*q. Give k(a(b)).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39701 - -56097. Calculate the lowest common multiple of 5 and g.\nAnswer: 81980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/13523 - -16727960\/40569. Let g = -419 + d. What is the common denominator of g and ((-120)\/57)\/(-3 - -4)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17410023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.259 times 0.11\nAnswer: -0.02849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2269 is divided by 175.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**8\/23520 - b**7\/8820 + b**6\/2520 + b**5\/420 - b**4\/6 + b. Let d(a) be the third derivative of f(a). Solve d(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.19 - 0.31. Which is the smallest value? (a) -2\/11 (b) h (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22663 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1311883*y**3 + y**2 + 2148606 wrt y?\nAnswer: -7871298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - (1 - 3))*-4. Suppose -4*a - 4 = -12. Suppose 4*b - a*b = 4. Solve -w = -q*c - 10, -1 + 3 = -b*c - w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 4:31 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 48 = -40. Let 2\/3*r**4 + 0*r + 0*r**3 + 0 - 2\/3*r**t = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 780\/(-2)) + (-2)\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, q: 1, r: 1}. What is prob of sequence qdd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 627. Let r be j(0). Let p(o) = o**3 + 15*o**2 - 73*o - 90. Let s be p(9). Let f = s + r. Round f to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14000, -13915, -13830?\nAnswer: -13745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*l**2 + 9980 - 9980.\nAnswer: -110*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24162157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -811*a + 40219 + 36949 = 567*a for a.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4*((sqrt(102) - (sqrt(102) - -1*sqrt(102)))\/sqrt(6) + sqrt(17))*-5 - (-1 + sqrt(68)\/sqrt(4) - sqrt(17)*2*-1))*-2)**2.\nAnswer: -864*sqrt(17) + 22176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20342 is divided by 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(6\/11)*r)**(1\/82)*(r**3\/r)**43 assuming r is positive.\nAnswer: r**(77589\/902)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*s + 552 = -26*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/6*1*-2. Let r = -6.332 + 6.632. Which is the fourth biggest value? (a) i (b) r (c) 1 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 517 and 220.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -6922 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1235 - 4?\nAnswer: -1239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 11:06 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 6) to base 14\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-78*j - 71*j + 1 + 59*j)*(5 + 1 - 5)*(5 + 9 - 4) as t + v*j and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -200211012110020 (base 3) in base 6?\nAnswer: -554221523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 5*r - 1. Let y be s(-6). Let z = y - -13. Calculate the greatest common divisor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66410 + 66393.5252. What is l rounded to zero dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2)*s)**(-2\/17) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -36. Suppose 2*v + 0*v - 12 = -q*u, -3*u + 4 = v. Let d = 8 - 12. Sort 0.3, v, d in descending order.\nAnswer: v, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 19*l**2 + l - 13. What is r(19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.033 and 3254?\nAnswer: 107.382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -1084*v**5 + 17*v**2 + 1125*v. Let n(s) = 361*s**5 - 6*s**2 - 375*s. Let f(i) = 6*a(i) + 17*n(i). Find the second derivative of f(k) wrt k.\nAnswer: -7340*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-171)\/(-36) + (-5 - -2). Which is greater: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25318*h**3 + 4214*h**3 - 11838*h**3 + 897*h**3.\nAnswer: -32045*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1383629 and 2341526?\nAnswer: 30439838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50687 and 38376?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 - 14*l - 20.\nAnswer: -2*(l + 2)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**2 - 207*r + 208. Calculate d(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 5 + -1 - 1. Suppose 0 = 2*f - z*f + 60. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.21 - 0.055. Let s = b + -0.11. Round s to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -13. Let c = x + 14. Suppose 0 = 4*q + f - 25 - 12, -3 = f. Solve 5 = -c*v - 0, -4*v = -2*u + q for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28019385.\nAnswer: 3, 5, 207551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence obbb when four letters picked without replacement from bbbboobbbbob?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*w + 178*w**3 - 77*w**3 - 99*w**3 - 6 to d*w + x + g*w**2 + o*w**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 5*w - 5. Suppose 58 = 5*m + 78. Let z(f) = -f**2 + 4*f + 4. Let j(t) = m*c(t) - 5*z(t). Let p(i) = -i - 133. Calculate p(j(o)).\nAnswer: -o**2 - 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a537 - -1?\nAnswer: -1a536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n + 0*n = -54 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 14 + (-186 - -141).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12275 + -12275.3. Is z greater than 2\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 824419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.32 + 0.02. Let s = 1.9 - 2. Let a = -0.4 + s. Put y, -3, a in descending order.\nAnswer: y, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 2*s**3\/3 + 3*s**2\/2 + 2*s - 14. Let b(g) = -8*g**2 - 12*g - 9. Determine -2*b(q) - 9*n(q).\nAnswer: -2*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**6\/216 + c**5\/24 + 5*c**4\/36 + c**3\/6 - 20*c**2. Let b(z) be the first derivative of q(z). Let b(d) = 0. What is d?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - z + 13 = 0, -2*d + 65 = -5*z + 58. Let v(n) = n**2 + 15 + 0*n - 2*n + 9*n. Let m be v(d). Solve 2*b - m = -5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 7074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a + 210 = -82*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -29*f. Let n(v) = -v**2 - 10. Let b(s) = s**2 + 6. Let a(g) = 5*b(g) + 3*n(g). Determine a(p(q)).\nAnswer: 1682*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -4*n - f - 65, f - 8 = 0. Sort 7, n, -5, 9 in descending order.\nAnswer: 9, 7, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-12))\/((-11)\/(-990)*18).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**2 + 1659*k - 2337.\nAnswer: -2*k + 1659","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 3\/10 (c) -6 (d) 3 (e) -1\/1502\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-136*s - 62 + 136*s - 2*s**2)*(1 - 1 + 3*s).\nAnswer: -6*s**3 - 186*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(0*g**3 + 0*g**3 - g**3) + (47 - 16*g - 47)*(0*g**2 + 7*g**2 - 2*g**2).\nAnswer: -79*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.438398ml to litres.\nAnswer: 0.003438398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -593.200026174 + 593.2. What is b rounded to seven decimal places?\nAnswer: -0.0000262","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from paapvavav. Give prob of picking 2 v and 1 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by -24.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 894, 900, 906, 912, 918, 924?\n\"Answer: 6*t + 888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 31 + (-85 - 31 - -42)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -12, 0.1076, 6.2, 1\/4 in increasing order.\nAnswer: -12, -6, 0.1076, 1\/4, 6.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49964*n = 50164*n - 5600 for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-4))\/((-54)\/72). Solve -2 - z = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b. Let t(h) be the third derivative of 0*h**4 + 1\/5*h**5 + 229*h**2 + 0*h + 1\/2*h**3 + 1. Calculate y(t(z)).\nAnswer: -12*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 12*j + 8*j = 7997, 0 = 5*p - 3*j - 7994. Suppose 0 = 7*s - p - 5032. Round s to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264.9744us in seconds?\nAnswer: 0.0002649744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3110 - 3113. Sort -0.1, l, 640 in increasing order.\nAnswer: l, -0.1, 640","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2698392.\nAnswer: 2, 3, 29, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 + -37. What is the closest to -2 in h, 1\/6, -1.4, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 4*o**2 - 2*o - 5. Let n be i(5). Suppose 6149*l = 6150*l - 3. Suppose 3*m = 8*m - 40. Solve l*z + n = m*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*t**3 + 42*t**3 - 4688 + 4668 wrt t.\nAnswer: 105*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - g**2 - 2*g. Let d be n(-2). Solve r + d = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.5 and 11.3.\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -51.024, -3, -7, 15, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252*u = -360*u + 12240. Let t(r) = -r**3 + 4*r**2 + r - 5. Let b be t(4). Let g be (-5)\/(-2) - b\/(-2). Solve g*z - u = -2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*v - 6654 - 3426 = 0 for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.6 - 0.6. Sort -1\/2, t, 1\/6.\nAnswer: -1\/2, 1\/6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/2866 and 47\/196942.\nAnswer: 282217886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 124\/25 - ((168 - 3)\/(-11) + 22) and -94\/3405.\nAnswer: 17025","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**2\/2 + 3699*y\/2 + 45252 = 0. Calculate y.\nAnswer: -24, 1257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/14413 and -6\/175?\nAnswer: 360325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-1 - 8\/(-6)). Let x(r) = r**2 + 3. Let i(p) = 2*p**2 - p + 3. Let c(d) = k*x(d) - 2*i(d). Let h be c(3). Solve h = -0*j - 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, t: 3, e: 8, o: 3}. What is prob of sequence zeez?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 4:54 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**5)\/n*n)**(-2\/19) assuming n is positive.\nAnswer: n**(-12\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 235 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279*g = -285*g + 42. Suppose 3*m = -z + 35, -5*z + 8 = -2. Calculate the smallest common multiple of g and m.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 13 = 5. Let j be 14\/u - (-2)\/8. Is j\/(5\/(395\/2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.73 - 0.27. What is the nearest to 1 in h, -1\/6, -14?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/8)\/((-2)\/(-8)). Suppose 0 = z - s + 3*s - 16, 0 = g*z - 3*s - 41. What is the remainder when z is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 10*b + 0 + (-4*b - 22 + 22)*(1 - 3 + 3)*(1 + 3 - 5).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**3 - 60*g + 55*g**2 + 110*g**2 - 162*g**2 - 4 to the form f*g**3 + y*g**2 + x*g + k and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 25*u**2 - 3*u + 1. Calculate the remainder when r(2) is divided by ((-54)\/(-12) + -5)*-14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 + -1)*(-16)\/(-32). Let c be 11 + 3 + (-4 - -2). Suppose -w*x = -2*p + 20, -3*p + p - 5*x - c = 0. Solve s - h = 4*h + 15, 0 = p*s + 2*h + 28 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -162 - -160.999. Let l = b + 1. What is l rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1320.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -6. Suppose -5*b = -r*g + 144 - 44, -2*b = 3*g - 55. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/3))\/(w\/(w\/(w*w**(-4)*w)))*(w*(w**(-1)*w)\/w*w)**40*(w**(-4\/3)\/w*w**(-5\/6)\/w)**(20\/11) assuming w is positive.\nAnswer: w**(1180\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 1:34 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -847627*r**3 - 31421*r.\nAnswer: -5085762*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 23*m**4\/12 - 163*m**3\/3 - 2*m**2 - 3. Let q be z(20). Calculate the highest common factor of q and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 2\/65 (c) 4 (d) -0.2 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -272, -335, -404, -485, -584, -707, -860?\n\"Answer: -p**3 + 3*p**2 - 65*p - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -300, -599, -898, -1197?\nAnswer: -1496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7*s. Let x(f) = -7186758*f. Give g(x(u)).\nAnswer: -50307306*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, n: 5, v: 3}. What is prob of picking 2 j?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*i + 2*o + 5, -i + 5*o = 11 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00599 to 4 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 14 = -20. Let n be (-6)\/l*2\/(-6). What is the smallest value in n, 4, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 8. Let l = 28 + -24. Let m be (l - 12\/4) + 1*7. Solve j*a = 5*a - m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmfmppmmpdpdpdmpm. What is prob of sequence fm?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1152020512 - -5?\nAnswer: -1152020503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -18*t**3 + 30*t**2 - 30. Let k(l) = -l**3 - l**2 + 1. Give 2*b(f) + 60*k(f).\nAnswer: -96*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express d**4 + d + 1780135*d**2 + 2*d**3 + 138 - 1780136*d**2 + 0*d**4 as y*d**2 + z*d + h + n*d**3 + u*d**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 2:00 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 4:14 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2687, 379, -3481, -8899, -15881, -24433, -34561?\n\"Answer: -s**3 - 770*s**2 + 9*s + 3449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Let g be -1 + 0 - v\/(-3). Let i be -1*(2 + -1 + 0). What is the second smallest value in g, 3, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffjfffjfff. Give prob of sequence jjf.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3241 divided by 1.\nAnswer: 3241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s - 5. Let p be m(-6). Let b(c) = -c**3 - 3*c - 3. Let u be b(-2). Let n = u - p. Solve v - 2*x = 11, -n*x - 8 = -v - 3*x for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2774 and 292?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 5:01 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16\/(-120) - (-53410)\/75?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*f**2 + 10 - 10)*(4*f + f - 7*f + 3) to the form k + b*f**2 + h*f**3 + s*f and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(48))\/((sqrt(245)*-2 - sqrt(245)) + sqrt(245)).\nAnswer: -sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/3430 and (41 + (-214710)\/5236)\/(98\/170).\nAnswer: 37730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 2:10 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 9:14 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 21834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 21*m**2 + m - 6. Let y(t) = 27*t**2 - 5. Determine -4*l(r) + 5*y(r).\nAnswer: 51*r**2 - 4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (391\/442)\/(-23) + (-3114)\/156?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 1375.\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(405)*2.\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*2\/(-10)*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000010 - -1?\nAnswer: 111000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 3*a - 3, -3 = -5*d + 4*a + 28. Solve 5 = n + 4*k + 18, 0 = -3*n - d*k - 12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 2 + 3 + -3. Suppose 4*m - 568 = -t*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8318.\nAnswer: 2, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-10)*-6)\/(((-6156)\/(-40))\/57).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - -3 - ((5 - -27) + 6). Do -34 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**3\/7 - 3*b\/7 + 3. Factor d(l).\nAnswer: 3*(l - 1)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 23 + 23. Let a(r) = -r**3 + 2*r**2 + 5*r - 2. Let s(x) = -a(x) + 4*q(x). Find l such that s(l) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 152 + -149. Suppose v*i - 59 = 4*q, 3*i - 3*q + 5*q = 29. Solve 3*o - 2 = i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -24. Let v = -6 - -15. Let z = h + v. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -1\/40*y**5 - 1\/360*y**6 + 0 - 2*y**2 + 1\/2*y**3 - 1\/8*y**4 + 0*y. Let p(f) be the first derivative of v(f). Calculate p(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/2812110 and -169\/2520.\nAnswer: 33745320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 280 divided by 2\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a millimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13389939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12883117*g**2 - 2897810*g wrt g?\nAnswer: 25766234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -5. Let s = 3 - o. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 48.6\nAnswer: -4.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 8 = -4, -z = 3*x - 44. Suppose 5*h + z*q - 42*q - 3160 = 0, 0 = q - 3. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*d - 40. Let i = 20 - d. What is the remainder when i is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81221\/22 + -3694. What is the common denominator of 37\/16 and g?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 855\/2*s**2 - 432*s - 29\/2*s**4 - 279\/2*s**3 + 1\/6*s**5 = 0 for s.\nAnswer: -3, 0, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - s. Suppose -3*i = 3*u, 5*i = 2*u + 3*u. Let v be n(i). Solve -3*k + c + 5 = v, -3*k = -0*k - 4*c - 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**5*(u\/(((u*u**(2\/3))\/u*u)\/u))\/u)\/(u**(-1))**(1\/2))\/(u*u**(-1\/8)*u*u*u**4*(u*u**(1\/4)*u)\/u**(1\/10)) assuming u is positive.\nAnswer: u**(-503\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -1.2550229682.\nAnswer: -3.7449770318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.3, -0.04, 2 in descending order.\nAnswer: 2, 0.3, -0.04, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -7 + -3 + (7 - -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 240505432?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1717 + 11*k**3 - 866 + k + k**2 - 853 as u*k**3 + g*k**2 + v + c*k and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -193, -392, -593, -796, -1001?\n\"Answer: -v**2 - 196*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lr when two letters picked without replacement from {z: 1, l: 1, r: 2, g: 2, v: 1, f: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 3, b: 1, t: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -431, -5, 1, -1.\nAnswer: -431, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*j + 991 - 991 to the form q*j + l and give q.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**6\/30 + 2*f**5\/15 + f**4\/6 - 4*f**3\/3 + 9*f**2 + 7*f. Let z(t) be the first derivative of i(t). Factor z(l).\nAnswer: -4*(l - 2)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 12 = -2*k. Let x(u) = 13*u - 9. Let y be x(1). Suppose -55 = -y*h - h. Sort h, 3, k.\nAnswer: 3, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 6 + 1 + (-66 - -59)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - b - 4*b)*(-2*b - 2*b + b) + 1535*b**2 + 2 - 5 + 5944*b**2 + 10639*b**2 + 3.\nAnswer: 18124*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -257*t + 55*t - 962*t - 147*t as k*t + m and give k.\nAnswer: -1311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2982 or 54?\nAnswer: 0.2982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.97 plus -3425259?\nAnswer: -3425264.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-2)\/31 - 138658\/403*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2811 divided by 7897?\nAnswer: 2811\/7897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a. Let n(w) = -5*w**2 - 18*w. What is n(p(h))?\nAnswer: -20*h**2 + 36*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6464304764 - 7036\nAnswer: 6464297728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 604870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 29267 (b) 0.3 (c) 0 (d) -0.3 (e) -16 (f) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*6\/(-15)*7\/14.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - ((-50)\/12)\/(-5). What is the smallest value in -2\/7, b, -1\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k - 117 = 4*o - 10*o + 32, -5*k + 2*o = 37 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + n + 2)*(632 - 5*n + 6*n - 2*n + 2*n + 185) to the form k + z*n + m*n**2 and give z.\nAnswer: 817","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (-3)\/((-6)\/(-22)). Let i = 32 + t. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1869 - 1834. What is the remainder when 183 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 10:02 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 8972785 to the nearest 100000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/7 - -26\/21. Let o(t) = 2*t + 0*t + 1 - t. Let p be o(3). Sort 3, p, n in descending order.\nAnswer: p, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3422496*l**2 + 2883694 wrt l.\nAnswer: 6844992*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1. Suppose 3*o + 0*o - j = 8, -10 = -4*o + j. Let f = o - k. Solve -f*c + 6*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29293?\nAnswer: 11, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*k + 2*k + 1, 5*k + 11 = -2*q. Suppose -4 = -v + d, -9 = -0*v - v - 4*d. Let f(a) = -4*a + v*a + 1 + 0. Give f(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -68 and 0.23471.\nAnswer: -15.96028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 115.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -26. Calculate the greatest common divisor of s and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-14) + 4\/(-14). Suppose 4*w + 18 = k, g = -w + 6*w - 3*k + 26. Let b = w - -8. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 75*v**2 - 43*v + 136. Suppose 11*m - 51 = -18. What are the prime factors of n(m)?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18677 plus -1705?\nAnswer: 16972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 101820*o.\nAnswer: -3*o*(o - 33940)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 7 + 16*n + 1\/2*n**2. Let p be t(-11). Put 1, p, 3 in decreasing order.\nAnswer: p, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -765*v + 767*v + 16 = 0. Let d be v\/(-2) + 5\/1. Solve 4*u + 1 = 5*b - d, -3*b = 5*u - 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l*v**4 - 442*l*v + 29*l - 186*v**4 - 3*v**2 - 2*v + 118 wrt v.\nAnswer: 24*l*v**2 - 2232*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2535 = 16*h + 2743 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487 is divided by 99?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4 + 14*p**3 + 13*p**2.\nAnswer: p**2*(p + 1)*(p + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0.3. Let s = 0.2 + c. Let m = -0.2 - -1.2. What is the smallest value in s, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-36)*16029\/(-822))\/(1\/2)?\nAnswer: 52\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbkh. Give prob of picking 1 h and 1 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/7)*t*(t**(-2\/5)*t)\/t)\/((t\/(t**(-2\/13)\/t))\/(t**(-6)\/t))*(t**(-1\/4)\/(t*t\/(t*t*t**(1\/4)*t*t)))\/((t*t**(1\/3))\/t**(3\/4)) assuming t is positive.\nAnswer: t**(-40529\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25498 is divided by 12675.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 1. Let r(n) = 47*n + 12. Let h(f) = -r(f) + 3*u(f). List the prime factors of h(-3).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18.32 - 0.32. Let o = 0.78 + -1.07. Let b = o - -0.49. What is the biggest value in r, 2\/3, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(84)*1 - -1*(sqrt(84) - -2*sqrt(84)))\/(sqrt(847)*-2*4 - (((sqrt(847)*1 + sqrt(847))*-2 - sqrt(847) - sqrt(847)) + sqrt(847))).\nAnswer: 2*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4213 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4)\/m*m**(-2\/3)\/m assuming m is positive.\nAnswer: m**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6950178109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 285 = 45. Suppose -5*y = -2*y - j. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -279712 * 0.5.\nAnswer: -139856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -766, -1443, -2120, -2797, -3474?\n\"Answer: -677*n - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o. Let b(f) = -6*f**2 - 15304104. Determine a(b(i)).\nAnswer: -6*i**2 - 15304104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 677695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 35 - 527\/(10 - -21).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7553*d**4*r**2 - 272*d**3*r**3 + 63*d**2*r**2 + 88*d**2 - 58*d*r**3 + d*r wrt d?\nAnswer: 181272*d*r**2 - 1632*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 10:58 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-174)\/((-4)\/(-2)))\/(-126*(-48)\/(-4032)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*s = 585980 + 130099. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.12 + -0.172. Let l = -0.568 + s. Round l to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5068.40454 + -0.4.\nAnswer: -5068.80454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2939820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 2*x - 3*x)*(-2 + 1 + 4*x + 3*x).\nAnswer: 21*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -12. Let y = 66 + -18. Calculate the greatest common factor of y and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 781920\/559 or 1399?\nAnswer: 1399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l = -34341 - 95438. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 588329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 30, -4\/5, -0.1, -1\/3, -1.91?\nAnswer: -1.91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnyy when four letters picked without replacement from {x: 3, c: 1, a: 1, y: 4, n: 8}.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + 12. Let i = p + -35. Let n = 0.68 - 0.78. What is the closest to n in i, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1472823 and 21489.\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -2*a + 4*a + 4*f, -2*a + 2*f + 40 = 0. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73 + 77. Suppose -m*f - 4 = -5*l + 1, 20 = l + 3*f. Suppose 0 = -5*p - l + 35. Calculate the least common multiple of p and 57.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from iujwt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6386.\nAnswer: 2, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23766 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -1. Let s = -4454 + 4455. Let a(n) = -n**3 + 4*n**2 - n - 4. Suppose -4*c - 5*g = c + 30, 5*c = 2*g - 16. What is c*b(m) + s*a(m)?\nAnswer: -m**3 + 4*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 33 + 0 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*m - 50 = 71*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -191 in -2.4, 0.1, 0.3?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 28*p - 25*p + 570 = 0, 4*p - 20 = 0. What is the remainder when t is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 1 + 1)*(-18 + 18 - 28*u) - 3*u**2 + u**2 + 4*u**2.\nAnswer: 58*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*b*o**2 - 99*b*q - o**3*q + 4*o**2*q + o*q + 31*q wrt o.\nAnswer: -76*b - 6*o*q + 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r - 1011 + 981 = -7*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 21. Let j be t(22). Is j equal to -1\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3909292117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -556, -548, -540, -532?\n\"Answer: 8*r - 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 52 - 44. Does 14 divide i\/2 + (62 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 5. Let a be (-5 + -5)\/(x\/2). Let n = 0.173 + 0.227. What is the nearest to -0.1 in -4, n, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-2) + 483\/23. Calculate the greatest common factor of 176 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04 - -0.34. Let l = -0.1 - 0.3. Let k(j) = -16236*j - 16238. Let a be k(-1). What is the second biggest value in a, l, -1.1, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 + 28*b**2 + 10*b + 2. Let n be v(-13). Suppose -n = -13*g - 41. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -551382 - -551406.9867. Let d = k - 25. Round d to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 200 + -214.8. Let z = -15.2 - h. What is z rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**3 + 16779*d**2 - 1355202*d - 2777544 = 0. What is d?\nAnswer: -2, 84, 5511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683478?\nAnswer: 2, 3, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(490) + -3*sqrt(490) + sqrt(490))\/sqrt(10))\/(sqrt(63)\/(sqrt(45)\/sqrt(5)))*3.\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 460\/(-552) - 226\/(-12). What is the highest common factor of 174 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36591096 = 3*d - 16*o, 2*o = 12*d - 7*d + 60985012. Round d to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y + 7*y - 13*y + 11*y.\nAnswer: 21*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 4*g - 2. Let w be n(-5). Suppose 4*s - 85 = i, w*s = 5*i - i + 67. Let a = 44 - s. List the prime factors of a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**5 + 18*g**4 + 42*g**3 + 48*g**2 + 27*g + 6 = 0. Calculate g.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 728*b**2 + 4332*b.\nAnswer: b*(b + 6)*(b + 722)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.039 and 38522.\nAnswer: 38522.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**5 - 3558*k**4 + 190317*k**3 - 538998*k**2 - 14196*k + 718680 = 0.\nAnswer: -1, 2, 53, 1130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 56088.24 litres in millilitres?\nAnswer: 56088240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3.85861 millimeters?\nAnswer: 0.00385861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k**5\/4 + 3996*k**4 + 167991*k**3\/4 - 36213*k**2 - 109719*k - 35508 = 0 for k.\nAnswer: -11, -1, -2\/5, 2, 1076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363 is divided by 354?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/((-18)\/9159) + 12\/(-18). Suppose -5*w + 3*x = -1013, 2*x = -2*w + 7*w - j. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4303, -4316, -4329?\n\"Answer: -13*h - 4290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10)*-2*(-3)\/(-12).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.092104 weeks in microseconds?\nAnswer: 4289304499200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4996 or -5006?\nAnswer: -4996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 26*r. Let n(f) = -f + 1. Let l(m) = -m + 3. Let h(i) = -3*i + 7. Let w(c) = -2*h(c) + 5*l(c). Let a(k) = -n(k) + w(k). Determine a(d(v)).\nAnswer: 52*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-4) - (-4)\/(-8). Suppose w = u*p + 10, p = w - 2*p - 15. Let y = 15 - w. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 6:54 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.167354m to micrometers.\nAnswer: 7167354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*l + 21*l - 19*l)*(-7*l - 14*l + 14*l) - 5*l**2 + l**2 + 2*l**2 + 1 - 1 - 2*l**2.\nAnswer: -102*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27740 and 122056?\nAnswer: 610280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 2*k + 0*k)*(708*k**4 - 330*k**4 - 138*k**4).\nAnswer: -480*k**5 + 480*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -33\/5 (b) 10 (c) -0.067\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 - 79375404281.\nAnswer: -79375404280.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**18*k**(-6)*k**(-7)*((k*k**(2\/17))\/(k\/(k*k*k*k*k\/(k**(-6)*k)*k)))\/(k**(-2\/3)\/(k\/k**(-3\/8))) assuming k is positive.\nAnswer: k**(65\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -z**6\/10 + 2*z**3\/3 - 3*z - 4. Let q(g) be the first derivative of u(g). What is the second derivative of q(j) wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2819 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1275342)\/9*(-6)\/(-16)*248\/(-62) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-5))\/(7 - (-292)\/(-40)). Solve -n*j = -10*j + 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9438 and 89366420.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 85072, -4, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18.4 + 18. Let f = -27 + 27. Sort v, 0.4, f in ascending order.\nAnswer: v, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 2*u + 2*a + 2*a, 0 = a. Let t be -2*(-31 - 3) + -5. Suppose -3*l + u + t = 0. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.42 - 0.02. Let u = 2.6 + r. Let j = 123 - 613\/5. What is the nearest to j in -0.4, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = x - 36, v + x + 28 = 6*x. Suppose 0 = -57*m + 33*m + 1728. Calculate the least common multiple of 48 and (v\/24)\/((-2)\/m).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -56, -511, -1254, -2273, -3556, -5091?\n\"Answer: 2*x**3 - 156*x**2 - x + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.1 minus -0.4?\nAnswer: 40.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/5)\/(6\/30). Suppose b + 0*v = -4*v + s, 0 = 3*b - 4*v + 8. Suppose 4*t = b*r - 9*r + 26, 2*r = -3*t + 23. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 992119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -24*q**3 - 18*q**2 - 24*q. Is b(-6) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6.7256? (a) -0.3 (b) 6 (c) -3\/7 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1334*g**3 - g - 1588?\nAnswer: 4002*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t + 54 = 0. Let p = 21 - t. Suppose 9*l = 4*l + 60. Solve 4*c - l = 3*f + c, p*f = 5*c - 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -571657.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is 816550358 divided by -3?\nAnswer: -816550358\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-146)\/(-4) + 1\/(-2))\/(-1282 + 1283). Solve 6*u = -r*u + 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 71, 69, 65, 59, 51?\n\"Answer: -a**2 + a + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 799925 divided by 22855?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 138*o**2 - 144*o - 992. What is the thousands digit of j(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -11*i - 687. Calculate f(-60).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -240\/7 in 5, 4, -3, 0.09?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence of when two letters picked without replacement from {f: 4, u: 2, o: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 0*v - 2*v - 2*v. Suppose -14*c + 12*c = 2. Let n be d(c). Solve 2*x - 3*m = -n*m - 10, 0 = -2*x + 2*m - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 136008?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12329*m = -12312*m - 14705. What is the remainder when m is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6564886, -6564708, -6564530, -6564352, -6564174?\n\"Answer: 178*u - 6565064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452*c = 448*c - 28 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 222 - 217. Suppose -2*v - 26 = -l*v - 5*o, o + 2 = 0. Calculate the remainder when 22 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -2\/3021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4*p = 11, -3*i + p = 35 - 46 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 67491 and 114.\nAnswer: 7693974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 26156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 3*p - 2. Let w be 2*(32\/(-4))\/(-4). Let v be c(w). Solve 0 = -s - v*s + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/2030732 and -81\/22.\nAnswer: 2030732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 7) to base 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 4, 4*q - 81 - 137 = 5*m. Let a be (q\/16)\/((-3)\/(-12)). Solve a = 5*d + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p + 2 - 2)*(-3 - 3 + 4)*(3*p**2 + 3*p**2 - 5*p**2)*(-30*p**2 - 35*p**2 + 72*p**2).\nAnswer: 84*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 673102915*r - 104679462?\nAnswer: 673102915","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 45*x**2 - 156*x + 201. Determine k(-41).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -12*o - 258. Let w(n) = -2*n**3 - 11*n**2 - 10*n + 13. Calculate the remainder when w(-6) is divided by c(-25).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 404, 365, 316, 257?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7484.921 millilitres to litres.\nAnswer: 7.484921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 863.3982486.\nAnswer: 859.3982486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*k + 28*k + 144. Let f = 283 - k. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - 19. Let o = 181 - 53. Calculate the highest common factor of r and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2291717 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2415546 (base 7) to base 15.\nAnswer: -60e16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (4 - -9) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**3\/5 + 338088*f**2\/5 + 540960*f + 5409664\/5 = 0. What is f?\nAnswer: -4, 169052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.00722?\nAnswer: 0.001444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83 - -140. Let s = 76 + v. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48678 times -0.4\nAnswer: 19471.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a century in months?\nAnswer: 10560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2277, -2275, -2273?\n\"Answer: 2*p - 2279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 5. Suppose s = -2*w - 2 + 8, -12 = -4*w - 3*s. Suppose 4*n + 1 = 3*m, 2*m - 4*m - w = n. Put r, 5, m in descending order.\nAnswer: 5, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5434508, -10869003, -16303498, -21737993?\n\"Answer: -5434495*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/17, -0.1, 9\/13198, 2 in decreasing order.\nAnswer: 2, 9\/13198, -0.1, -4\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 277548601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.93 + -3.78. Which is smaller: -0.28 or p?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 676714 and 474.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.67 - 0.577. Suppose 0 = 4*k - 3 - 13. Put k, 1, a in decreasing order.\nAnswer: k, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - 4*a**2 + a - 6. Let o be s(5). Let u = o - -104. Calculate the highest common factor of u and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2\/14 + 4 + -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/8*(-1)\/(3\/6). Suppose -5*k - 2 = -4*d, -4*k - 5*d + q*d + 14 = 0. Calculate the remainder when k 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 (2*(-4)\/32)\/1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 + 96*a - 318. Determine n(-51).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**6\/780 - 7*l**5\/390 + l**4\/156 + 7*l**3\/39 + 161*l**2. Let d(w) = 0. Calculate w.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45287 - -2219237\/49. Let s = g - 7885\/882. Let p = -17\/13 - -283\/286. Calculate the common denominator of p and s.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**4\/4 - n**3\/3 + n**2 - 3*n + 2. Let m be h(2). Solve -6*p = -11*p - 2*l + 6, -14 = -m*p + 2*l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 - (-5 + -28) - (28 - 28)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(1\/((-8)\/((-160)\/(-12))) - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -5 (b) -4\/5 (c) 1\/4 (d) -4415\/2 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 27249 (c) 4 (d) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -303\/380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5 - 10192*m**4 - 30592*m**3 - 10204*m**2 + 30590*m + 20396 = 0.\nAnswer: -2, -1, 1, 5099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2\/5 + 270624*y\/5 + 4648816.\nAnswer: 4*(y + 86)*(y + 67570)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s. Let h(j) be the second derivative of -j**4\/12 + 77*j**3\/3 + 85*j - 2. Give w(h(p)).\nAnswer: -p**2 + 154*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.7 - -15. Let d = -0.81 + 0.11. Let v = d + g. Which is the third biggest value? (a) v (b) -1\/10 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/402194 and 77\/51896.\nAnswer: 1608776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/108 and -40\/20907.\nAnswer: 250884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**5\/3 + 214827*t**4 - 1933456*t**3\/3 - 859312*t**2 = 0. What is t?\nAnswer: -644484, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -868448, -1736494, -2604540?\n\"Answer: -868046*l - 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -54736*c - 2572591. Calculate p(-47).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m + m - 3*m)*(5*m**2 - m**2 - 5*m**2)*((-1 + 2 - 2)*(0*m + 6*m - 7*m) + 4*m + 4*m - 5*m) to w*m**2 + p*m**4 + v*m + n*m**3 + x and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 7. Let c be a(-8). Suppose -22 = -2*i - 12. What is the greatest common factor of c and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235 = -6*b + 253 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.9531 to one dp.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = s - 137, 532 + 73 = 5*s - c. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11097872 and 272?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-36)\/54 - 1*(-16)\/6. Solve -4*p = p - 3*a + 22, -3*p = a + y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 630.5405l to millilitres.\nAnswer: 630540.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 - 18 - 24)*(u**2 + 2*u**2 - 4*u**2 + (8*u + 1 - 1)*(-u - 2 + 2)) to d*u + r*u**2 + g and give r.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11811\/60 + (-8)\/(-32). Let i = x - 197. Solve 1\/5*w - 1\/10*w**5 - 3\/10*w**2 + 3\/10*w**4 - i*w**3 + 0 = 0 for w.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.6 + 2.6. Which is the second smallest value? (a) n (b) 4\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -179, 3\/5, -12?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.807 to one decimal place.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 2)*(16 - 37 + 21 + 363*z + 2228*z) as y + r*z and give r.\nAnswer: 5182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1524838153459 - -6\nAnswer: -1524838153453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 175 and 11.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -14739650 != -14739652?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -45*m**2 + 8*m + 1. Give f(-2).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -36. Let m be (r\/2)\/(147\/(-72) - -2). Let p(d) = -d**2 + 14*d - 6. Let g be p(m). What is the highest common factor of g and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - m - 0*m - 4578323, -s - 2289184 = 5*m. Let d = -103007212\/45 - s. Let w = d - 562\/5. Find the common denominator of -11\/3 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 11. Let w be b(-7). Let o be (-7)\/((-21)\/(-9)) - w\/2. Let i = o - 11. Calculate the remainder when 18 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v**2 + 2*v**2 + 2*v**2 + (-v - v**2 + v)*(0 + 4 - 2) + (-8*v**2 - 23*v**2 - 21*v**2)*(-1 - 5 + 4).\nAnswer: 101*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -120513 bigger than -964105\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - c - 280 = 0. Suppose -121 = -n - 2*s - 164, -2*n + 4*s = 118. Let l = n + c. Solve 0 = -l*t + 2*t + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 80 (b) 57 (c) -0.5 (d) 0.7 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -45*o**4\/4 + 9*o**3 - 31. Find the third derivative of l(p) wrt p.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1005, -3, 2, -2, 554?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -4\/9, 9, -0.077 in descending order.\nAnswer: 50, 9, -0.077, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -6 - (-2 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 61, 45, 3, -77, -207, -399, -665, -1017?\n\"Answer: -2*k**3 - k**2 + k + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-33)\/(-9)*-4 + 1\/(-3). What are the prime factors of b\/90 - (-877)\/6?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**5 - 12*p**2 - 6*p + 12*p**2 + 2*p**5 - 2*p**3 + 2*p**3 - p - 2*p**5 + p + (-3*p - p + 2*p)*(2*p**4 - 5*p**4 + 4*p**4) - p**5 - 5*p**5 - p**5.\nAnswer: -8*p**5 - 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15458416 is divided by 206?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(3\/5)*o))**(8\/11)\/(o**(-2\/27)\/((o\/(o\/((o*o**(-3\/11))\/o)))\/o)))**(-8) assuming o is positive.\nAnswer: o**(28064\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 470929323.70452 - 2\nAnswer: 470929321.70452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26652944 + -54552944. Round y to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3*v**2\/4 + 9141*v + 55052295\/4 = 0.\nAnswer: -1355, 13543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (((-60)\/45)\/(-2))\/((-22)\/3)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254.0643mm to centimeters.\nAnswer: 25.40643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 3*z - 19, -1 = z + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10916957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 107331649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-1023)\/22)\/((-5)\/10) and 117.\nAnswer: 3627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3940 and 1657558.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**3 + 20920*k**2 + 25525760*k + 7271669760 = 0.\nAnswer: -1888, -408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**2 - 5*d**2 + 4*d**3)*(-687*d + 687*d - 38*d**2) + (-3*d + d + 5*d)*(-2*d**4 - 3*d**3 + 3*d**3).\nAnswer: -158*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 658291 is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 7*c = -2*c, -5*r - 2*c + 9 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391797*v = 391796*v - 49 for v.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*z**2 - 12\/5*z + 18\/5.\nAnswer: 2*(z - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bc when two letters picked without replacement from oohcbobco?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-21 - -29) + (-4 - 0))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*q - 14 + 21 = 0, 0 = -2*l - 2*q + 12. Calculate the remainder when 2*l\/(-6)*(9 - 12) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 4*s + 5 - 13 = 0, 0 = 3*t + 4*s + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p**3*u - 4202*p*u**2 + 2*u**2 - 125*u - 10 with respect to p.\nAnswer: 6*p**2*u - 4202*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57976*b**5 + 3*b**3 + 707*b + 17 wrt b.\nAnswer: -1159520*b**3 + 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116\/(-72) - (-1)\/(-2)*-3.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4838 > 3920?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -8*p. Let i(u) = -u**2 + 120480. Determine i(g(b)).\nAnswer: -64*b**2 + 120480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-2))\/((-253)\/(-4301)). Sort -15, c, -3, 5 in increasing order.\nAnswer: -15, -3, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 76070, 76045, 75980, 75857, 75658, 75365, 74960?\n\"Answer: -3*i**3 - 2*i**2 + 2*i + 76073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -15*v + 51. What is y(18)?\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5419466 to the nearest integer?\nAnswer: 2328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -6.6 (c) 0.5 (d) -1\/3 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*f = 6678, -3*f - 2 + 14 = 0. Let u = w + -187. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.30598 * 1\nAnswer: -0.30598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1845327*q**4 + 2751924*q**2 - 9*q + 2 wrt q?\nAnswer: -44287848*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28321669 by -1427.\nAnswer: 19847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 16 = -12*q. Determine a so that 4\/9*a + 32\/9*a**3 - 14\/9*a**q + 0 - 22\/9*a**2 = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 3*b - 6. Let f be p(-8). Suppose 2*s = -6, -5*d - s + 113 + f = 0. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 91661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-6) + (-26)\/(-4). Let b = 6 - 3. Suppose -z + 44 = -2*s, -4*z = b*s + 2*s - 163. What is the highest common factor of z and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.7, -3, 0.1, 0.4, 20, -0.10627?\nAnswer: -0.10627","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10959815, -10959823, -10959831, -10959839, -10959847?\n\"Answer: -8*i - 10959807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.24 - 9.3. Let l = 7.06 + -7. Let x = l + d. Which is the biggest value? (a) x (b) 1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 46677449 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/5 (b) 1\/12 (c) -1\/2 (d) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30432801 - 5088801 = 64*g. Round g to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -24696.05 and 71217?\nAnswer: 95913.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -32548 times -1.33\nAnswer: 43288.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2 - 23. Let z be (32\/(-20))\/(p\/25). Let q(d) = -3*d - 22. Let v be q(z). Solve 0 = -s - v*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqqqppepeo. What is prob of picking 3 p?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -10*i**2 - 278*i - 202. Calculate x(-27).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(24)\/sqrt(4)) - sqrt(50)\/(sqrt(35)\/sqrt(7)))\/(-3*((sqrt(5) - sqrt(35)\/(-2*sqrt(7) + sqrt(7))) + sqrt(125)*-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037721?\nAnswer: 3, 345907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -28 + (14 - (-13 + 6 + 7))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, r: 9}. What is prob of picking 1 v and 2 r?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -85251*s + 426241. Determine h(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/4)*q*q**(-11))\/(q**(-17)\/(q*q**3)) assuming q is positive.\nAnswer: q**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 10 = 0, -67*g - 2 = 4*m - 72*g. Is -1388 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*m + 2*o - 6, 0 = 5*m + 2*o - 6. Let f be (1 - -1) + m - 0. Let x = -1082 - -9748\/9. Is f <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/26 + (-470)\/13. Let u be -497676*(-3 - d\/16). Let m = u - -96743. Round m to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14733.538 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.015 - -0.375. Let n = u + -0.09. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*l - 20192 = -140*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i. Let v(d) = -1344*d. Give l(v(t)).\nAnswer: -6720*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -288200 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -120, -99, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01411765 rounded to four decimal places?\nAnswer: 0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-2)*(-53)\/159.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497416\/15 at least as big as 99829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in 1\/6, -0.012, 1\/21, 1\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20507506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1426)\/(-8) + 14\/8 and 6\/(-33) + (-24)\/(-11).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 268832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 13*x - 126. Let d be n(15). Is d at least as big as 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26247131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -5 (c) 356\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a**3 + 35*a**2 + 113*a - 11. What is n(-6)?\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 6105501.\nAnswer: 6105504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162 and 25145478?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 3. Let r be (-112)\/(-70) - p\/(-5). Solve 0 = -r*t - 2*t + 4*k + 24, -2*t = 5*k + 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 593849507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(0\/(-1) - -2). Let z = 0 - j. What are the prime factors of z - -3*(1 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46\/5 - 357\/10. Suppose -2*x - x - 60 = 0. Find the common denominator of 140\/(-48)*(-56)\/x and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/27*(-927)\/103?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19.1 - -19. Let h = -2 + 2.5. Put h, 0, c in decreasing order.\nAnswer: h, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (299*d**4 - 7 - 4 + 11)*(12 - 12 + d).\nAnswer: 299*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164, 150, 110, 32, -96, -286, -550, -900?\nAnswer: -1348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 195? (a) -1\/2 (b) 2 (c) 5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 0.05 (b) -0.63 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/3, -4, -2\/11, 234, -2\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 20337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41150 + 27444. Let t = 20331 + -14037. Let m = t - y. What is m rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 143692 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56521608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 20 = 4*f - y, -4*y - 46 = 5*f. What is the tens digit of (46\/2)\/(f\/(-90))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/21))\/(k*k**(3\/4))*k**(-3\/5)*k**(2\/17) assuming k is positive.\nAnswer: k**(-9479\/7140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/15*250\/(-700).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 122900270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d, 4*d + 109 + 216 = 5*v. Let h = 4 + v. Suppose 71 = 7*l - h. Solve -6*t - l = -2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26841.09 - -26841. What is the second smallest value in 0.3, p, 1\/16, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 43. Let m be (-15)\/b*(-4)\/10. Solve 0 = -5*p + 14 + m for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-3)\/(-6) - 1). Suppose -a = 4*q - k, 2*a + 2*q = -a + 22. Solve 2*i - 1 = -y + a, 0 = -4*y + 4*i - 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from {a: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 5389 and 5388 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -2 (b) 1\/34 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1782 (b) -2\/3 (c) -2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 22*f - 10. Determine j(19).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335243 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -750, -68, -5 in decreasing order.\nAnswer: -5, -68, -750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*g = -y + 4, -2 = -2*g. Let k(f) = -f**2 + f + 108. Let a be k(y). Let z = -8 - -20. Calculate the highest common factor of a and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2368 != 2380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(1\/(-5)))\/1. Suppose 0 = -d*v + n + 28, -4*n = n - 10. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -260689, -521387, -782073, -1042741, -1303385?\nAnswer: -1563999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 222, 231, 240?\n\"Answer: 9*g + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + z - 13 = -q, -z = -2*q + 2. Let k be (1\/q)\/((-4)\/6). Let n = 0.9 - 5.9. Which is the third biggest value? (a) -0.4 (b) k (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from orrifrrnrfqrrrr. What is prob of sequence qnr?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*s + 416 - 415 + 164*s in the form x*s + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 9*q**3 - 34*q**2 + 22*q + 7. Let t(b) = 4*b**3 - 17*b**2 + 11*b + 3. Let h(d) = 6*c(d) - 14*t(d). What is the second derivative of h(z) wrt z?\nAnswer: -12*z + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 40 + -32 - 19.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 131*b**2 + 1836*b - 503. Calculate d(-115).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 - 2 + 0*u**2 - u**4 + 2*u + 3*u**2 in the form o + v*u**3 + l*u**4 + j*u + r*u**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -3, -317, -33?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*l**4 - 19259*l**2 - 116215 wrt l.\nAnswer: 20*l**3 - 38518*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + o**3 + 10 + o**4 + o**2 + o**4 as q*o**3 + c*o**4 + p*o**2 + m*o + s and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-29\/2)\/k)\/((k*k**(4\/9)*k)\/k) assuming k is positive.\nAnswer: k**(-305\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1739, 1740, 1741, 1742, 1743?\nAnswer: 1744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -14 - (16 - 18 - 12 - -11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 573741 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**5 + 0*o**5 + 2*o**5 + (o**2 + 0*o**2 - 2*o**2)*(-o**2 + o**3 + o**2) + 78*o + 8*o**5 - 78*o)*(4 + 2 - 2) - 70*o**3 + 18*o**5 + 70*o**3 + 2*o.\nAnswer: 54*o**5 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 12*d**2 + 47*d + 4. Suppose 9 = g + 8*g. Let l(p) = -2*p**2 - 1. Let b(x) = g*q(x) + 5*l(x). What is the second derivative of b(m) wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -23*m**2. Let v(x) = 101 - 41 - 16 - 34 + 19*x**2. What is v(t(g))?\nAnswer: 10051*g**4 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 29*w**2 - 224*w - 105. What are the prime factors of c(33)?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9888\/(-96) - -63) + (8\/(-20) - (-96)\/15).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 5*z**2 - 5*z + 4. Determine p(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r. Let f(l) = 4*l**2 - 5*l + 5. Let w(o) = 5*o**2 - 6*o + 6. Let i(y) = -6*f(y) + 5*w(y). Determine i(u(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 + (-84)\/(-16))*12. Let o = -3 + 4. Let v be ((-8)\/(-14))\/(94\/329). Solve -v*s = -f*s - o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**3 + 42*m**2 - 74*m - 36. Let w be r(19). Let t(d) = -3*d**2 - 5*d - 2. Let q(l) = -l**2 + l + 1. Calculate w*q(c) + t(c).\nAnswer: -5*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*h + 352*h = 781*h + 23274 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/12)*o**(-2\/29) assuming o is positive.\nAnswer: o**(-53\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4771 = 6*u - 4831. What is the greatest common factor of u and 275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lalllllrqalll. Give prob of picking 3 l and 1 a.\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1918 - -5.\nAnswer: 1923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4707, -4609, -4433, -4167, -3799, -3317, -2709?\n\"Answer: 2*c**3 + 27*c**2 + 3*c - 4739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/6 + 16\/(-6). Let t = 8 + o. Let r(x) = -x**3 + 5*x**2 + 3*x - 3. What are the prime factors of r(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, -30, -179, -416, -741, -1154, -1655?\nAnswer: -2244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 0*t - 4*t)*(0 + 2*t + 0) - 4*t**2 - 3*t**2 + 3*t**2 - 10*t**2 + 42*t**2 - 21*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 1 - 1)*(27*u - 144*u + 2*u).\nAnswer: 345*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 140\/(-3)*24\/(-16). Let m = c + -59. Let v(u) = u**3 - 10*u**2 - 12*u + 11. Calculate v(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3875, 8076, 12283, 16496, 20715?\n\"Answer: 3*a**2 + 4192*a - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 19*l**3 - 31*l**2 - 281*l - 240. Let u(b) = 10*b**3 - 15*b**2 - 140*b - 120. Let i(m) = 5*g(m) - 9*u(m). Factor i(d).\nAnswer: 5*(d - 8)*(d + 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**4\/12 + 23*m**3\/6 + 15*m**2 + 21*m. Let x be h(21). Calculate the highest common factor of x and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 146 = 22. Suppose -n = 5*l + h + 2*h, 36 = -2*l - 4*h. Let u = 6 + -16. Do l and u have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(30)\/sqrt(10) - sqrt(3)) + -5)**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*y - 13*y - 19*y)*(y - y + 12*y).\nAnswer: -192*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 71*p**3 + 13*p**2 + 13*p - 13. Let o(g) = -35*g**3 - 6*g**2 - 6*g + 6. What is 13*o(u) + 6*x(u)?\nAnswer: -29*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdqqr. What is prob of picking 1 z, 1 d, and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.066477 meters to kilometers.\nAnswer: 0.002066477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**4\/7 - 12*h**3\/7 - 13*h**2\/7 + 30*h + 56 = 0 for h.\nAnswer: -7, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 0)*-4*-1.\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -4. Solve p + 2 = -b, i*b - 8*b + 3*p = -22 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 22. Let l be f(9). Let t = 31 - l. Let j = -4 + 3. Is j > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 3*z, 5 = -3*r + 4*z - 6. Let w(t) be the second derivative of -t**5\/20 + t**4\/3 - 2*t**2 + 2*t + 22. What is w(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/((n*((n*n\/(n*n**6\/n))\/n)\/n)\/n)*n*n*n)\/n)\/(n\/(((n**2\/n)\/n)\/n)))\/(n*(n**0*n)\/n)**43*(n**(1\/4))**(-2\/15)\/(n**(-8)\/n*n*n**2) assuming n is positive.\nAnswer: n**(-871\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -59180.2 to the nearest one hundred.\nAnswer: -59200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -1015?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -22*z**4 + 7*z**3 - 7*z**2 - 40. Let y(q) = 11*q**4 - 3*q**3 + 3*q**2 + 20. Let x(h) = -3*w(h) - 7*y(h). What is the first derivative of x(d) wrt d?\nAnswer: -44*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*u**2 + 855*u + 17792 wrt u?\nAnswer: -10*u + 855","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1348.32 days to seconds.\nAnswer: 116494848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(3 - 0) - 3. Let f(h) = -6*h**3 - 4*h + h**3 + 2*h. Let v(s) = s**3 + s. Let c(t) = i*v(t) - f(t). What is the second derivative of c(y) wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 - 38. Let m be (8*u\/120)\/(-2). Which is the closest to -0.13? (a) m (b) -0.3 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2090*a**3\/23 + 463982*a**2\/23 - 25751334*a\/23 + 24642\/23 = 0.\nAnswer: 1\/1045, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-4 + -1)) + -6 + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3*w + 15. List the prime factors of 1*6 + w + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.94 + 0.06. Which is the nearest to 1\/3? (a) 4 (b) 3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from sczsozsoozczzzc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 474138304 by -83948.\nAnswer: -5648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 163, 320, 477?\n\"Answer: 157*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 2*b**2 - 105*b - 11. Calculate o(10).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (35\/4)\/((-11)\/(-4)). What is the closest to 1 in 5, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 514 or -2970?\nAnswer: -2970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22\/(-11) + 2\/3. Suppose 0*v = -3*v - 6. Let x = -7\/3 - v. Which is the second smallest value? (a) x (b) j (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 1:13 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -910*i**4 - 21*i - 3 wrt i?\nAnswer: -10920*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 12*k**2 - 33*k + 8. Let a be y(8). Solve 4*l = -2*t - 0*l - 2, t + 4*l + 3 = a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/23)*d**17)\/((d**(1\/2)*d)\/d**15) assuming d is positive.\nAnswer: d**(1405\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*d - 143*d - 98*d)*(3*d**2 - 3*d**2 - 2*d**3) + (-d**3 - 2*d**2 + 2*d**2)*(-6*d - 20*d - 14*d).\nAnswer: 446*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 43.0977?\nAnswer: -258.5862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*f**3 + 39*f**3 + 0*f - f + 2*f**2 to the form o + y*f**2 + p*f + u*f**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 4701*y**2 + 896486*y + 2647176.\nAnswer: (y + 3)*(y + 196)*(y + 4502)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -246 and 0.265154?\nAnswer: -65.227884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 715758 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1935 is divided by 1910?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*s + 34*s + 28*s - 117*s + 27*s + 25*s.\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*w - 261 = 0, -4 - 413 = -5*t - 4*w. What is the remainder when ((-19)\/(-266))\/(2\/(-156))*-91 is divided by t?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 + 4*n**2 + n - 2*n)*(-2*n**3 - n**3 + n**3).\nAnswer: -16*n**5 + 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 155611*f**2 + 7*f - 9. Is c(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*u - 77. Calculate the highest common factor of 21 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5932290 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -1, 7, -5753, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = 35 - 77. Suppose 2*o - 55 = -3*m, -3*o + 64 = 2*m - 31. Calculate the highest common factor of c and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -30 - 75776\/2560?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i**2 + 2*i + 8. Suppose -4*v - 33 = -g + 6*g, -g = 5*v + 15. Let l be b(v). Solve -l = -4*h - h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d + 14*d**2 - 449*d**3 - 3*d**2 - 409*d**3 + 861*d**3 - 6. What is m(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5\/122 - -77\/1098. Factor d*p**2 - 2\/3*p + 1.\nAnswer: (p - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -6)*1 + (22 - 1956\/84).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 146*l - 3955. Give i(-116).\nAnswer: -475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**5\/60 + f**4\/24 - 9*f**2. Let t be s(1). Suppose 3*p - 2*p - 3 = t. Solve 2*r = 5*r + p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 9*x**4\/4 - 17*x**3\/3 + 4*x**2 + 3. Let d(t) = -45*t**3 + 86*t**2 - 41*t. Let w(c) = -2*d(c) - 11*h(c). Factor w(a).\nAnswer: -3*a*(a - 1)*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04739145 to 4 decimal places.\nAnswer: -0.0474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -861680 (base 11) to base 4\nAnswer: -11100201133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 35*z**2 - 49*z - 558. What is x(33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, a: 5}. What is prob of sequence nnnn?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 6427.006 to zero dps.\nAnswer: 6427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**3 + 12*b**2 - 6*b - 10. Let r be y(6). Let c be r\/46 + (-1)\/(-1). Solve 3*f + 19 - 4 = c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -22\/1146377 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 67*t**2 - 85*t - 871. Is a(-28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 8592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 336\nAnswer: -1344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2\/6 - 130*u + 9802\/3 = 0. Calculate u.\nAnswer: 26, 754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(66) - (sqrt(66)*-5 - sqrt(66))*6)\/(-1*sqrt(726)))**2.\nAnswer: 148*sqrt(11)\/11 + 1413\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 983879 to the power of 1\/2, to the nearest integer?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34478*f**2 - 42 - 17240*f**2 + 2*f**3 + 42 - 17238*f**2.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 7*m - 572. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(320)).\nAnswer: -48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -35*g**2 - 67*g + 159. Give q(-4).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -2\/7, 121, 2, 1\/5 in decreasing order.\nAnswer: 121, 2, 1\/5, -1\/9, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1607 - 23*p - 1234 + 0*p.\nAnswer: -23*p - 2841","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35088 + 35203. Solve 72*k = 49*k - z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 12:17 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13315 (b) 2\/9 (c) 2 (d) -2 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 10:34 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -60*b + 1. Suppose -4*a = -10*a - 6. List the prime factors of c(a).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - ((-63)\/(-7) + -8). Suppose 6*h - 5*h - 5 = 0. Solve -a = 4*r - 6*a + 11, -t*a = -h*r - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -73 + 7770*d + 33 - 1737*d + 40 as x*d + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 947 a factor of 826949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + 15c5c6a?\nAnswer: 15c5c72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*x = 165 - 55, -3*n = 4*x - 58. Suppose -n*y = -20*y - 342. What is the highest common divisor of y and 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/6 + 2\/6. Let z be ((-32)\/24)\/(h\/(-6)). Let y = 11 + z. Calculate the remainder when 19 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.013 * 0.3\nAnswer: -0.3039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -15.8 and -103.\nAnswer: -118.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -11*k**3\/6 - 5*k**2 - 11*k. Find the first derivative of l(o) wrt o.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 715 - 321 - 350 + 24*a**2. What is the hundreds digit of b(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 3*q + 2259, 76*q - 2291 = -3*f + 75*q. Calculate the lowest common multiple of f and 8.\nAnswer: 6088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -217*s + 64 + 19 + 3*s**2 - 85 to the form q + l*s**2 + v*s and give v.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aataaaaaaaaaaaaaaa. What is prob of picking 4 a?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 1330*w**2 - 2658*w**2 + 1328*w**2.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -40356*o**2 - 12*o + 17. Let l be p(-10). Let s = 464537 - l. Round s to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121 + 3?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48327.11 minutes to nanoseconds.\nAnswer: 2899626600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 - 24548?\nAnswer: -24525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29)\/(-3))\/(-3*(-13)\/(-117)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**2 - 2*w**2 + 3*w**2 + (0*w + w + 0*w)*(w - 3*w + 0*w) - 13*w**2 + 19*w**2 + 13*w**2 to q*w**2 + i*w + d and give q.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q. Let y(n) = -9*n. Let t(f) = -5*k(f) + 2*y(f). Let z(h) = 6*h**2. Give z(t(r)).\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-3)\/30)\/(14\/(-315))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 8. Suppose -j*y = -1738 + 48. Suppose t = 3*n + 72, 5*t - y = 5*n - n. Is 22 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 10*v**2. Let k(s) be the second derivative of -29*s**4\/6 + 4*s - 169. Calculate h(k(z)).\nAnswer: 33640*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216) + sqrt(1216) + -1 + 5 + (sqrt(1216) + 1*(1 + sqrt(1216)))**2.\nAnswer: 48*sqrt(19) + 4869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/13 - 43762*s\/13 - 876040\/13.\nAnswer: 2*(s - 21901)*(s + 20)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - 2. Let r = -75 - -72. What is the third biggest value in 2\/31, r, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(6\/(-945))*(-32 - -30). Which is smaller: d or 314?\nAnswer: 314","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3330*c + 687*c - 6653 - 22420 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 16. Let i be 5\/(f\/2) - -3. Let b(q) = -q**3 + 3*q**2 - 2. Let m be b(-2). Solve -i*d + 7 = -m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221 = -23*w + 331. What is the units digit of ((-18)\/w)\/(1 - 61\/60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 9*a + 2*s + 975157 = 0, -4*a - 2*s = -780122. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 25 = 2*p + 41, -21 = -3*f - 5*p. Suppose 0 = 4*g - 55 - 73. Calculate the remainder when g is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 485821*z**3 + 9*z**2 - z + 789 wrt z.\nAnswer: 2914926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -7. Let r be (-45)\/(-6)*m\/(-6). Let u = r + -5. Solve 0 = -d - u*d + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -77*c**2. Let n(b) = -4*b. Determine n(l(w)).\nAnswer: 308*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 2657087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 7*c - 46. Let f(q) = q**3 - 23*q**2 + 3. Let z be f(c). Solve -2*x - 4 = -z*u, 2*x - u + 12 = 4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, c: 5, a: 1, b: 1, w: 4}. What is prob of sequence kbc?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 16. Suppose -8*c = -5*c - k. Suppose -c*u + 4 + 3 = 5*n, -2*u + 8 = 4*n. Solve -2*o + 7*o - 4*q = -13, 0 = -3*q + u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, p: 7, m: 2, z: 3, a: 3}. Give prob of sequence ppa.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j\/((((j\/j**(1\/4))\/j)\/j*j)\/j))*j)\/(j\/j**6))\/(((j\/((j*j**(3\/5))\/j*j))\/j)\/j*j*j*j*j**(-4)) assuming j is positive.\nAnswer: j**(167\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**2 + 3*c. Let j be p(-2). Suppose -j = -7*o + 4*o. Solve t - 2*v = 2*v - 9, -3*t + 1 = o*v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 27, -4.871 in descending order.\nAnswer: 27, -4.871, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 36*g**2 - 3*g - 516. Let i(c) = 35*c**2 - 4*c - 520. Let l(j) = -3*i(j) + 4*x(j). Differentiate l(m) wrt m.\nAnswer: 78*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3631*a**5 + 2*a**3 + a**2 + 420*a - 12?\nAnswer: -72620*a**3 + 12*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 0*t**3 + t + 19 - 3*t**3 + 15*t**2 + 4*t**3. Let u = -133 + 118. Let b be f(u). Let h(a) = -2*a**2 + 5*a - 4. Calculate h(b).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -423100342?\nAnswer: 423100401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-144)\/(-10)*(23\/(-3) + 1). Let h = f - -101. Solve -3*i + 4*l = -2*i + 5, 3*i = -h*l - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2684 and 154616.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 32. Let n = 64 + -54. What is the lowest common multiple of n and f?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3145 + 3272. What is the highest common factor of z and 13081?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*r + 8 = 0, -2*z - 9 = -5*r - 49. Solve 3*h - z = -2*t - h, -5*h = -3*t - 40 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -710 by -3.\nAnswer: 710\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 11:18 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148838387?\nAnswer: 631, 235877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -366156028 divided by -561589?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(sqrt(108)*-3).\nAnswer: -sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(252)*-1 - (2 + sqrt(252))) + 2.\nAnswer: -12*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-3))\/((-33)\/9). Let p = 5591 + -5592. Which is smaller: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*n - 20*n + 30*n.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.190305 years to millennia.\nAnswer: 0.009190305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 1\/1086604?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + 442c7?\nAnswer: 442c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4278)\/(-460))\/93)\/(-387*(-1)\/30)?\nAnswer: 1\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/(-21))\/3 + 8\/(-28). Solve v*i + i - 5 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (4 - 1) - 3. Suppose -2*u - 2 = -u. Put u, l, 0 in decreasing order.\nAnswer: 0, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318900 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2504 is divided by 56.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/446216 and -73\/16728.\nAnswer: 54884568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - k - 3*g - 329 = 0, -268 = 4*k + 4*g. Let q = k - -93. Does 7 divide 1 + -3 + 4 + q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 4*q**2 - 17*q - 9. What is z(7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*b + 114, 0 = -2*m - b - 45 + 162. Let j be (m\/35)\/((-4)\/(-14)). Is (-162)\/(-36)*1*j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 85*o - 88*o, -2*w = 5*o. Put -1, 4, -7, o, 5 in descending order.\nAnswer: 5, 4, o, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-2 - (-6 - 4))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1203343.4198 to the nearest 100.\nAnswer: 1203300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -395 divided by -4?\nAnswer: 395\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-45) - 480\/(-6975)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21504091.\nAnswer: 7, 89, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 50\/11, -1, 0.043, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43428?\nAnswer: 2, 3, 7, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100613660 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 198329134 from -11.73.\nAnswer: -198329145.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kyyykk. Give prob of sequence kk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + q**3 - 4*q**3)*(14*q**2 + 13*q**2 - 7*q**2) + (4 - 4 + 2*q**3)*(q**2 + q**2 + 0*q**2).\nAnswer: -36*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/70 and -64\/3349801?\nAnswer: 33498010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*m - 913, -3*b = 4*m - b - 910. Find l, given that -2*l**4 + 2*l**2 + m*l**3 - 226*l**3 - l + l**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20093*m**3*t**4 - 2*m**3*t + 24*m**3 - m**2*t + 3*m*t**2 - t**4 wrt t?\nAnswer: 482232*m**3*t - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -42213*j + 42077*j + 3 - 4 in the form v*j + l and give v.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen halves of a decade?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**2 - 5*d - 9. Let y be r(5). Round y to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 937263682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34*a**3 - 38*a**3 - 6 - 1 wrt a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -1 - (9 + -8 - 2) - -12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -267616 by -9.\nAnswer: 267616\/9","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**2 + 0 - 1\/120*g**6 + 0*g + 1\/60*g**5 + 0*g**4 + 0*g**3. Find the third derivative of n(x) wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2. Let d(n) = -992*n**2. Determine r(d(s)).\nAnswer: 984064*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/69*6\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8224.5876 + 8223. Round p to 2 decimal places.\nAnswer: -1.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6542*p**3 - 355*p**2 + 25*p - 2. Let q(u) = 6541*u**3 - 354*u**2 + 20*u. Let r(t) = -5*q(t) + 4*y(t). Find the third derivative of r(a) wrt a.\nAnswer: -39222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 335, 5, 0.\nAnswer: 0, 5, 335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 5:56 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**3\/7 + 37344*r**2 + 16746756*r\/7 - 17008160\/7 = 0 for r.\nAnswer: -65, 1, 65416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 51*u**2 - 9. Let a(z) = -13*z**2 + 2. Determine 9*a(w) + 2*y(w).\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 743240539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from knkkonuoouknk?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2225808 and 72384?\nAnswer: 8903232","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 25 = -0. Solve -q*l + 0 = -10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1992325636 to the power of 1\/2, to the nearest integer?\nAnswer: 44635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/502172 and -99\/14.\nAnswer: 3515204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + s + 5 = 0, 10 = 3*s - 5. Let i be 7 + -5 + (4 - v). Suppose 8*p = -g + 4*p - 14, 4*g + 8 = -i*p. Put 4, g, -3 in descending order.\nAnswer: 4, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -262*q - 24255. What is h(-93)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**3*z**4 - 8*i**3*z + 4*i**2*z - 27*i*z**2 - 15123*i - 50*z**4 - 2308070*z**3 wrt z?\nAnswer: 24*i**3*z - 1200*z - 13848420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22b (base 12) in base 15?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 346765998 bigger than 346765998?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five eighths of a kilogram in grams?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - t + 2. Let r be q(4). Suppose 0 = -x + 2*u - 4, 3*x + x - r = -2*u. Calculate the smallest common multiple of x and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-3)*h)**(-22\/3) assuming h is positive.\nAnswer: h**(-110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*(24\/(-60))\/(45\/75).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.643 and 0.3.\nAnswer: -0.1929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/(858\/(-99)*(-2)\/26).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3433893 + 48136 = -284*f + 606431. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-2 - 3) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*a - 1325614 = -1321764 for a.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 25*f - 28. Let p be (-96)\/(-7) - (-4)\/14. What are the prime factors of l(p)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 131*l. Let z(u) = -330268*u. What is s(z(o))?\nAnswer: -43265108*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*p - 73562 = 0, -4*o + 3*p + 21695 - 80544 = 0. Let g = o - -32213. What is g rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114727?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9848.746 nanoseconds to microseconds.\nAnswer: 9.848746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 442384557 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**3 - 6*k**2 - 2*k - 1. Let q(l) = -16103*l**3 - 8657*l**2 + 16*l + 8. Let b(j) = 8*d(j) + q(j). What is the third derivative of b(n) wrt n?\nAnswer: -96522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*q**4 + 72711*q**3 + 4*q**2 + 201648 wrt q.\nAnswer: 360*q + 436266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-50))\/((-37)\/6105*-66). Suppose w*q**2 + 72\/5 + 24\/5*q = 0. What is q?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**5\/4 + 107*i**4\/4 + 43*i**3 - 44205*i**2 - 132300*i = 0.\nAnswer: -70, -3, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -165216\/19 or -8695?\nAnswer: -165216\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/2635*-1052 + 2. Let f = y + -1076\/5797. Let o = 10\/7 - 33\/28. Which is smaller: o or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cyz when three letters picked without replacement from {z: 2, p: 4, c: 1, y: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**2*z**2 - 1078*b**2*z - 29*b**2 + 2*b*z**2 + 279*b + 30*z**2 - z wrt b.\nAnswer: 8*z**2 - 2156*z - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1103 - 1?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (14495\/(-669))\/((-5)\/(-6))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.47 - -0.07. What is the biggest value in -1\/6, -4, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 273 - 285 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 6.1. Let u = -0.1 + f. Which is smaller: u or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/l**(-39)))\/l**10*(((l\/(((l\/l**(-39))\/l)\/l))\/l)\/l)\/((l\/l**(9\/8))\/l) assuming l is positive.\nAnswer: l**(-687\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1586 = -b - 3*k, -3*k = 4*b - 6347. Let u = -790 + b. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 10*y + 9. Let b be v(12). Let o = 37 - b. Solve 4*r + o = -4*k, -2*r + 0*r - 14 = -k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -562 times 1992\nAnswer: -1119504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -542 - -544. Let o(s) be the third derivative of 0*s**4 + 0 + 0*s - 6*s**h + 1\/10*s**5 - 2\/3*s**3. Find the first derivative of o(l) wrt l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - j + 25812, -103200 = -4*m - 12*j + 14*j. List the prime factors of m.\nAnswer: 2, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13943, 111519, 376373, 892145, 1742475, 3011003?\n\"Answer: 13940*w**3 - w**2 - w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268 = 498*m - 164*m - 167*m - 162*m + 4*j, -2*m = -3*j + 224 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 - 0)*1450\/75. Let v = b + -113. Solve 4*f - 27 = 5*j, -18 = -6*f + v*f + 3*j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-4 + (0 - (-6 + -2))). Let u be (-6)\/(48\/(-820)) + 2\/a. Calculate the highest common divisor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22845100 to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.228 (b) 0.2 (c) -0.5 (d) -0.4 (e) -9 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 0 - 3*i + 2 + 2*i. Let x be m(6). Let j(h) = -h**3 + 8*h**2 + 2*h - 11. Let k be j(8). Sort k, x, 3.\nAnswer: x, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-288)\/(-10))\/((-1)\/(-10)). Let f be 4\/10 - o\/(-30). Solve -b = b + f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 3:06 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 31287, 28120, 24953, 21786?\n\"Answer: -3167*k + 34454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 - -62.7. Let r = -0.6 - y. Let i = 8.2 - 8. What is the closest to -4 in r, -0.5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 267, 2\/5, -2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 4. Let t be o(-2). Let c(z) = -4*z + t*z**2 + z + 3*z. Let k(v) = -3*v**2. Give k(c(x)).\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 13*v + 4. Let g be p(-13). Calculate the greatest common factor of 44 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**4 - 488*m**3 + 4332*m**2 + 16472*m + 11648 = 0.\nAnswer: -2, -1, 13, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*s - 85*s - 113022 = 0. List the prime factors of s.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sttsuuesstutb. What is prob of picking 1 e and 1 t?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -k + 5*u + 25, -16 = 2*k + 3*u. Let d be 9\/11 + 5\/k. Which is the smallest value? (a) d (b) -1\/10 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 3:54 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -463910 to the nearest 10000.\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2452.611181 rounded to 1 dp?\nAnswer: 2452.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/52380 and 133\/47142.\nAnswer: 471420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4693 is divided by 922?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47728760?\nAnswer: 2, 5, 19, 62801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**4\/12 - w**3\/2 - w**2. Let l be m(4). Solve z = -l + 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98380 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.82 rounded to 2 decimal places?\nAnswer: 2.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - -30) + 12 + -21 + 1\/3\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b15 (base 13) to base 4.\nAnswer: -131111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 18527885.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 5*n - n - 2*n**5 + (-4*n**3 - 2*n**4 + 4*n**3)*(-1 + 1 + 2*n) - n**4 - 982 + 3*n**5 + 982.\nAnswer: -3*n**5 - n**4 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-252)\/(-56) + 18)*(-20)\/975*3?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 561 and 146575.\nAnswer: 7475325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001062235241 rounded to six dps?\nAnswer: -0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -546328, -3, 0, 6 in ascending order.\nAnswer: -546328, -3, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(44 - 9\/3) + 0. Let t(f) = -c*f**3 - 4*f + 17*f**3 + f**2 + 23*f**3. What is t(3)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**2 - 19 + 19)*(-s + 4*s - s) - 15*s**3 + 24*s**3 + s**3 + s**3 - 4*s**3 + 5*s**3 + (s**2 - s**2 + 3*s**3)*(1 + 0 - 2) + s**2 - s**2 + s**3.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1829 + 1821. Let i(q) = q**2 + 6*q - 1. Calculate i(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 545096 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5 - 7) + 0 - -9 - 1) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a**3 + 8*a**3 - 9*a**3 + 268*a - 2*a**2 + a**3.\nAnswer: -13*a**3 - 2*a**2 + 268*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 3:29 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*k - 3*g, 5*g - 15 = -3*k + g. Let f be -1 - (1 + -26*(-3)\/(-36)). Which is the third smallest value? (a) -0.4 (b) f (c) k (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(-175))\/((-4)\/(-112))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 446*c - 1503*c - 3767*c - 487224 for c.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*j - 0 + 4, -3*n = -4*j + 12. Let l be (-2)\/(-1) + -4 + 3. Sort 6, l, j, 3 in ascending order.\nAnswer: j, l, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = -18641*k + 18635*k + 20, 0 = k + 4*j - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-4))\/(33\/(-132)) - -28 - 2. Calculate the highest common factor of 13088 and f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 69648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/((h\/(h*h**(-19)))\/h)*h*h*h**(5\/3)*h assuming h is positive.\nAnswer: h**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2365657185\/7 or -337951025?\nAnswer: -2365657185\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 - -38. Suppose 4 = -i, 2*t + w*i - 19 = -3. Calculate the highest common factor of t and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(208))*-3 - sqrt(208) - ((sqrt(208) + 1)*-1 - sqrt(208) - sqrt(208))**2.\nAnswer: -1879 - 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/(((-4)\/576)\/((-143)\/(-429))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1217*w**2 + 2447*w**2 - 1322*w**2.\nAnswer: -92*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (97 + -51 - (1 + 14)) + -12.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 23*o + 34. Determine s(23).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/(2552\/66)*(-2)\/(-10)*-1?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 3\/31 (b) 1\/1287 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 1. Let q(f) = -f**3 + 9*f**2 - 7*f - 3. Let g be q(8). What is the remainder when o(g) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - (-6 - -1))*(-342)\/30. Let j = 83 + m. Calculate the remainder when j is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*n - 324 = -188*n. Sort -1, n, 4 in decreasing order.\nAnswer: 4, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.4 + 0.6. What is the second biggest value in k, 2\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - v + 9, 0 = 258*g - 261*g + v + 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 36 = 3*t. Let s(x) = x - 4. Let h be s(t). Suppose 0 = -g + 4 + h. What is the smallest common multiple of g and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432984*s + 432434*s = 2750 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 21\/63*63\/(-77)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97633 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-7) - 13710\/(-105). Suppose -h = -i + 8. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5\/4 + 39*g**4\/4 + 111*g**3\/4 + 109*g**2\/4 + 9*g.\nAnswer: g*(g + 1)**3*(g + 36)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1229 - 788. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.6578 take away -0.4?\nAnswer: 8.0578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 26, 3, -143 in ascending order.\nAnswer: -143, -2, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lznp when four letters picked without replacement from {q: 1, d: 2, n: 1, l: 1, z: 1, p: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**2 + 40*q + 91. Determine j(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 132*v + 9 - 26 + 17 as p + x*v and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**5\/90 - 7*o**4\/54 + 11*o**3\/27 - 5*o**2\/9 - 49*o - 44. Let f(x) be the first derivative of a(x). Solve f(l) = 0 for l.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2 + 3*c - 31*c - 3. Suppose -5*s = 3*b - 4, 0 = -20*s + 17*s + b - 6. Calculate j(s).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 72 = -2*m. Let j = m + 174. Suppose -3*v = 4*y - j, 4*v = -4*y + 97 + 163. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39.63 + -40. Let t = -0.13 - w. Let l = t + -0.239915. What is l rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (2 + 4 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 6 + 36*z**2 - 40*z**2 as w + v*z + m*z**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*i**2 - 18*i**2 + 33*i**2 + 2*i - 2*i + 2*i**2 + (2 - 2 + 1)*(-i + 2*i**2 + i) - 2*i**2 - 2*i**2 + 6*i**2 to the form h*i**2 + o*i + w and give h.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 3. Let a be (4\/(-2))\/((-4)\/z). Let o be (-3)\/12 + 39\/a. Is -9 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1154697 * 17\nAnswer: 19629849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-48)\/40)\/((-28)\/(12880\/69))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 1:04 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -89, -99, -111, -125, -141?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 12*u**2 + 18*u - 59. Determine j(4).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 8. Let x be u(-8). Let c be (5\/4025)\/((-12)\/746). Let a = c - -2\/345. Is a less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*i = 126*i + 8355. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22\/21 - 2\/7. Let m = 139 + -141. Which is the nearest to -1? (a) 3 (b) i (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*a = -62*a + 45. Let l(c) be the first derivative of 8*c**3 + a*c**4 + 2*c + 6*c**2 - 13 + 6\/5*c**5. Factor l(s).\nAnswer: 2*(s + 1)**3*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -29697, -59399, -89101?\n\"Answer: -29702*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1965\/(-60))\/(2\/8). Let v = f + 221. Is 30 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 2565676*m + 822836667122.\nAnswer: 2*(m - 641419)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v + 44 - 64 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -15*p**2 + 31*p. Let y(n) = -16*n**2 + 32*n. Let d(i) = 3*k(i) - 2*y(i). Find the second derivative of d(c) wrt c.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/4 (b) -3 (c) 4 (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24653d (base 16) to base 7.\nAnswer: 26162655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*m + 14*m + 176. Suppose -2*o = -7*o - 110. Let c = o + 38. Calculate the greatest common divisor of m and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1385821 to the power of 1\/2, to the nearest integer?\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4023 and 3725.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -0.5. Let d = 14 - 20. Let c = d + 5.6. Sort i, 2, c.\nAnswer: c, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/70*(-21)\/24)\/(-2*69\/48)?\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-49123359948)\/143 - 36\/99. What is p rounded to the nearest one million?\nAnswer: -344000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/10476 and 133\/38718.\nAnswer: 7511292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 135357306 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - -20) + 7 - (-1 + 25)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 11*f - 14. Calculate the remainder when m(-7) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 s when two letters picked without replacement from {d: 1, s: 1, l: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -9*k - 6. Let h be m(-4). What is the greatest common factor of 20 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -2*o + 10. Let c = o - -38. Let g = -8 + c. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*d**4*g - 1005319*d**3 - 5*d**2*g + 3897*d**2 - 7*d + 2*g - 8 wrt d?\nAnswer: 432*d*g - 6031914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - 0)\/(1 - 2). Let y = -3 + w. Let g be (240000 + y)*30\/8. Round g to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x - 22*x = -j - 6, 0 = -2*j + 3*x - 9. Is j < -2\/1135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 40 = 2*c + 5*x, 0 = -2*x - 2. Is (-3)\/(-2) - 20691\/c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -430380 by -54.\nAnswer: 7970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8925 and 670.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - l - l)*(2*l - 1 - 4*l - 2*l).\nAnswer: -4*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 1710 = -5*d, -2*i + 352 = -i - 4*d. Suppose 3*y + 326 + i = 2*b, 0 = -3*b - 2*y + 992. What are the prime factors of b?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 2*z + 3*z)*(z**3 - 2*z**3 - 2*z**3) + z**2 - 5*z**4 - z**2.\nAnswer: -11*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1449, -1450, -1451?\nAnswer: -1452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**4\/4 - h**3 - 9*h - 621. Suppose -5*o = -5*g + 10, 5*g - 11 = 3*o + 3. What are the prime factors of f(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-114)\/(-8) + 1\/(-4). Suppose -5*f = -t - 2*f - 4, -5*t - 2*f + v = 0. Suppose 0 = -t*w + 14 + 18. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.87 times 155\nAnswer: -1219.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3\/2 - 175*d**2\/2 - 87*d = 0. Calculate d.\nAnswer: -174, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/80 and -1\/130.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -206, -206, -204, -200, -194, -186, -176?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (18 + -24 - 7) + -13 - -23\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 4:19 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 240342501 a multiple of 1404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 - -2.06. Let v = 1 - w. Suppose -5*j + x - 3 = 2*x, 4*j - 4*x = 12. Do j and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 445, 985, 1619, 2347, 3169?\n\"Answer: 47*p**2 + 399*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -173*s - 1046. Let x be g(-6). Let a(p) = -p - 1 - 2 + 2*p. Let w(b) = -3*b + 9. Determine x*a(y) - 3*w(y).\nAnswer: y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 7*x - 15. Let p = 22 - x. Suppose 5*i + 2 = 12, -p = 5*w - i. Let j(b) = b**2 + 6*b + 4. What is j(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (4 - (15 + (3 - 12))) + 11.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18659200*0.3.\nAnswer: 5597760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-5 - (0 + -9))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 27*q**4 + 48*q**3 + 32*q**2 - 2*q + 7. What is l in b(l) = 0?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, p: 2, z: 3, a: 7}. What is prob of sequence zbpa?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35405 - -282265\/8. Let s = b + 122. Sort 1\/4, s, 3\/4 in increasing order.\nAnswer: s, 1\/4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 334? (a) -0.1 (b) -0.46 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000961085237 to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 0)*-3*1. Suppose o*t - 4*x + 2 = -0, 2*x - 8 = 5*t. Let n be (3\/2)\/(4\/(28\/(-21))). Which is greater: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -7*c**2 - 3*c - 1. Give k(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 11. Let s = -10 + x. Let j = 269.2 + -269.1. Which is the closest to -2? (a) 1 (b) j (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-112)\/3*(9 - (145 - -2 - 9)). Is 4817 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 2. Suppose -h*i = -1 - 14. Solve 1 - 4 = -i*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -98, 3, -2 in ascending order.\nAnswer: -98, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 37*(-12)\/(1*-4). Let g = 162 - i. Let x = -12 + 29. What is the greatest common divisor of x and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 13 = 0, -482*a = -233*a - 247*a + 2*o + 20 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 - 77. Let l be 2\/(-4) + o\/6. Which is the biggest value? (a) 3 (b) l (c) -0.1 (d) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 10*m**2 + 23*m - 14. Let p be v(11). Let s = p + 170. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 376*w**3\/3 + 257*w**2\/2 + 243. What is the second derivative of h(o) wrt o?\nAnswer: 752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2941 divided by 14535\nAnswer: -173\/855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 61551.74 nanometers in meters?\nAnswer: 0.00006155174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000036010039 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 39*f. Let b be c(27). What is the highest common factor of 756 and b?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 80*z + 1364. Give k(-59).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lh when two letters picked without replacement from {y: 1, t: 1, h: 1, l: 1, x: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17431382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3480 - 1691.5. What is l rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/198376 and 151\/72.\nAnswer: 1785384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1031117 is divided by 343702?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 50 + 14. Suppose -3*n + 2*y + d = -316, 5*n + y - 593 = 0. What is the remainder when n is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 3 - -1) + -2 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*m + 8*m + 3*v, -5*v - 6 = 3*m. Suppose -3*h - m*l + 2298009 = 0, 2*h + 2*l - 4*l = 1531994. Round h to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*v + 17*v = -30*v + 3036 - 156 for v.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-6))\/(6083\/(-10428))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccchcllhccc. What is prob of picking 1 h and 1 c?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(25)*-1)\/sqrt(5))**2 + 0 + (-2 + sqrt(605)*-1 - sqrt(605) - (sqrt(605) + sqrt(605) + 1 + sqrt(605) + 2))**2)*-1.\nAnswer: -15155 - 550*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7166381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 75 in 173, 2\/17, 0.86?\nAnswer: 0.86","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -191968\/3 - -64616. Suppose -4*o + 3*n = -184 - 2248, 2*o - 1198 = -3*n. Let b = l - o. Calculate the common denominator of b and 38\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2604, -5193, -7782, -10371, -12960, -15549?\nAnswer: -18138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 10*h**2 + 182*h - 1557. Calculate i(9).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + w - 5. Let k be f(-4). Let s = k - 2. Solve -s*t = -2*t + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/60 and -33\/100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1251054455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2517658 and 286?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -298 by 6.\nAnswer: -149\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 282*v**3 - 1976*v**2 + 11*v + 17. What is c(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 21384 divided by -2376\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3127 - 3130. Let x(o) = 2*o**2 - 8*o - 37. Give x(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t + 9*t - 10*t + (2 - 5 + 4)*(0*t + 0*t + 2*t))*(-5 - 2 + 3).\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 21*i + 29. Let k = -132 - -112. Is 19 a factor of a(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 3 + 5)*(0 - 2 - 2) - 2 + 6 - 2)*(523*i - 15 - 1054*i + 532*i) + 0*i + 6*i - i to b*i + o and give o.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 8. Let r be 38\/(-9) + 6\/27. Let k be f(r). Suppose 2*j + 16 = k*j. Calculate the greatest common divisor of j and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n + 11 - 21 + 2*n + 10.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 - 211*s**2 - 102*s + 467. Calculate the least common multiple of q(-105) and 4.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 1\/3 (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4233*p + 3462*p = -74787 for p.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(36\/(-9))*348\/(-22)*(-242)\/99?\nAnswer: -58\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -22889 * -1.6\nAnswer: 36622.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 - 66 - 38 - 54)*(2*z + 3*z - 4*z).\nAnswer: -197*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(243) + sqrt(243) + sqrt(243)*-1 - sqrt(243))**2 - ((sqrt(36)*2)\/sqrt(12) - sqrt(3))**2)*-3.\nAnswer: -3*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*q**5\/19 + 144*q**4 - 180382*q**3\/19 - 100266*q**2\/19 + 615860*q\/19 + 567600\/19 = 0 for q.\nAnswer: -129, -5\/4, 2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (106\/5)\/((-99)\/(41580\/168)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -563 + 565. Solve k - 5 = -v*n, -2*n + 2*k - 7*k + 17 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b39ab (base 12) to base 9.\nAnswer: 386855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2. Let h(u) be the first derivative of -22*u + 0*u**3 + 11*u**2 + 9 + 1\/12*u**4. Let n(v) be the first derivative of h(v). What is n(d(w))?\nAnswer: 4*w**4 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137134*c + 29*c**2 + 274348*c - 137214*c.\nAnswer: 29*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(104))\/sqrt(8) - (sqrt(143) + sqrt(143)*-5)\/sqrt(11)) + (-1*sqrt(117)*6 + sqrt(117) + sqrt(117) - sqrt(117))\/(sqrt(9) + -1*sqrt(900)).\nAnswer: 5*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 14*g**2 + 3377*g + 722. What is x(-241)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -173*v - 947 - 3120 - 3026 for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 69 (c) 1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.157, -2, -4, -89, 1?\nAnswer: 0.157","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 708430, 1416865, 2125300, 2833735, 3542170?\n\"Answer: 708435*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68721181 is divided by 4008?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, n: 3, f: 2, l: 5}. What is prob of sequence nfn?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*p - 21, h - 5*p - 144 = -3*h. What is the highest common divisor of 205 and h?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010110011011001 (base 2) to base 11\nAnswer: 30277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4565 (base 7) in base 10?\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 8*w**2 + 1545*w - 6300. What is t(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 10*b**2 + 5*b + 40. What is a(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.02069 to two dps.\nAnswer: 70.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -4 + (sqrt(288) + 0 - sqrt(288)) + -4 - -1*((-2*sqrt(288) - sqrt(288)) + 1 - (sqrt(288) + (0 + sqrt(288) + sqrt(288) - sqrt(288))*4))) + -3)**2.\nAnswer: 1344*sqrt(2) + 18481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 minutes before 6:41 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -7 + ((-30)\/4)\/(282\/376).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*n - 188 = 0, i - n = n + 213. Suppose i = -3*u + 2*z - 3*z, -4*u - 269 = 3*z. Let y be (-4)\/(-28) + u\/(-14). Is 5 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 7:23 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6143*m**3 - 569*m**2 - m wrt m.\nAnswer: -36858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -476366 divided by 43306.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 201113186 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: What are the prime factors of 2219?\nAnswer: 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -64.193591?\nAnswer: 38.5161546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4.8, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*(sqrt(2) + -1 + sqrt(72)).\nAnswer: 2 + 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 10 = -5*h, 0 = -2*h + 4*v - 0*v + 2. Let f(w) = h*w - w - 6*w - w + 1. Let m(r) = 0 + 2*r - 1 + 2*r. Give -5*f(p) - 6*m(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f*g**4*r - 131*f*g**3 - 52*f*g**2*r**3 + f*g**2*r - f*r**3 - g**3*r**3 + g**2 wrt g?\nAnswer: -24*f*g*r - 786*f - 6*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3490168085?\nAnswer: 5, 17, 41060801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 388\nAnswer: -387.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000220814435 to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 282385, 282563, 282741, 282919, 283097, 283275?\n\"Answer: 178*z + 282207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 1 (b) 1\/88 (c) 0.5 (d) -0.2 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311395761 is divided by 67.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 332761.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-4)\/70 - 1. Let x = -0.1105 + 492.1105. Let v = -488 + x. Sort h, 2, v, 0 in ascending order.\nAnswer: h, 0, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q**3 + 5*q**2 - 6*q. Let u(h) = 5*h**3 - 5*h**2 + 6*h + 1. Suppose 0 = 9*c + 44 - 8. Let y(l) = c*t(l) - 3*u(l). Calculate y(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -223*j**3*n**2 - j**3*n + j**2*n**2*s**3 - j*s**3 + 3*n*s**3 + 71*n wrt n?\nAnswer: -446*j**3 + 2*j**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -100001000101?\nAnswer: 100001000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*g - 41, g - 3*g + 3*p = -23. Suppose 11*m - g*m = -24. Solve 4*t + m = -0*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8360 is divided by 102.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -332227758 by -3.\nAnswer: 110742586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 269 + 220. What are the prime factors of b?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*-5208.1\nAnswer: 208.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(320) + 2.\nAnswer: -3 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 7*i**5 + 5*i**4 + 4*i**2 - 5*i - 5. Let f(m) = m**5 + m**4 + m**2 - m - 1. Let y(t) = -15*f(t) + 3*v(t). Find the third derivative of y(z) wrt z.\nAnswer: 360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3988983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -73033 divided by 199?\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -22 - (-65 + 45).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 9:30 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 153 = -2*c, c = -5*q - 13 + 52. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + (-5 - -10))\/((-2)\/66). List the prime factors of (-24155)\/(-55) - (-6)\/r.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**4\/4 - 33*x**3 - 1479*x**2\/4 - 675*x\/2 = 0.\nAnswer: -25, -18, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1974\/(-6909) + (-380)\/(-154).\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3988 divided by -2\nAnswer: 1994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i - 2. Let w(z) = -2*z + 3. Let k(g) = -3*b(g) - 4*w(g). Calculate the remainder when k(5) is divided by 8 + 2 + -1 - -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/1*((-133)\/42)\/19?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 453*m**4 - 1505*m**3 + 5*m**2 + 12*m - 28312 wrt m.\nAnswer: 10872*m - 9030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is f1 (base 16) in base 13?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + sqrt(1216)*-2 + -6*sqrt(1216)*2)**2.\nAnswer: -238345 + 672*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 2010?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m**2 + m + 2. Let d be a(-2). Let r(o) = 3*o**2 - 27*o + 34. Let k(h) = 2*h**2 - 14*h + 17. Let f(c) = 5*k(c) - 3*r(c). Is 21 a factor of f(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 315 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 14 = -t, 5*u - 2*t + 30 = t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 194\/6005 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*i + 27*i + 1 + 31*i - 280*i + 29*i + 154*i.\nAnswer: -9*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22.81 + 21.9. Let v = j + 0.896. Round v to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 186 or 199?\nAnswer: 186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 17259600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/15529 and 85\/106?\nAnswer: 31058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15314)\/3064 - -5)\/((-1)\/(-1 - -5)). Is d greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257, -246, -235, -224?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9369.16 rounded to the nearest ten?\nAnswer: -9370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23.9 - 27. Let i = w + 3. What is the biggest value in 2, -4, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*(sqrt(15)\/sqrt(5))**2 + (sqrt(3) + sqrt(12)\/(sqrt(4)*-1))**2) - ((sqrt(3)*4 + sqrt(3) + 3)**2 - (sqrt(9)\/sqrt(3) + 0)).\nAnswer: -192 - 29*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 57\/5 of a kilogram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**5 + 4*d**4 - 10*d**3 - 12*d**2.\nAnswer: 2*d**2*(d - 2)*(d + 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200)*2 + (0 + sqrt(2))*3.\nAnswer: 23*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.466 * -575470.\nAnswer: 268169.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/59 + -132\/413. Let u be 12\/10 + ((-384)\/(-40) - 8)\/2. Which is the nearest to i? (a) 0 (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 248*c**2. Let f(l) = 3*l. Determine r(f(b)).\nAnswer: 2232*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*y - 68*y = 140. Let b be 1125\/(-315) + 6\/y*-1. Sort 3, -3, 12, b.\nAnswer: b, -3, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -1 + 2*x**2 - 3*x**3 - 9 + 8. Let a(w) = -10*w**3 + 7*w**2 - 7. Calculate -2*a(k) + 7*r(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of z**4 - 572*z**3 + 3*z**2 - 51*z wrt z.\nAnswer: 24*z - 3432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(9) + (-1*sqrt(81) - sqrt(81))\/sqrt(9)) + sqrt(8)*2 + sqrt(2) + sqrt(32) + -5 - (-5*(sqrt(162)*-1 + 5 - sqrt(162)) + 2).\nAnswer: -82*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003606731 rounded to five decimal places?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 90203?\nAnswer: -451015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 13 = -5*y, -y = -2*q + 6*q - 17. Suppose q*o + 4*s - 28 = 0, 2*o = -0*o + 4*s + 2. Solve -1 = -d + m, -7 = d - o*d + m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13616 and 0.039257?\nAnswer: 534.523312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 5:43 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -15 - 13. Let f = -5 + b. What is the second derivative of -f*o**2 + o + o**2 - 2*o - 2*o**2 wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 10:36 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0.04 (c) 45 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(114) + sqrt(114))*-2*2)\/(-6*sqrt(486)*4).\nAnswer: sqrt(19)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f**2 - 6*f - 4. Determine q(-4).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1009274.\nAnswer: 2, 7, 72091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 - 2)*(-b + 5*b - 3*b)*(1 + 0 - 3).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = 6*u + 47. Suppose u*g - 58123 = 10*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - (sqrt(500) + sqrt(500)*-1) - (sqrt(180) + -1*sqrt(180) + sqrt(180)))\/((4*-1*sqrt(80) - sqrt(80) - sqrt(80))\/sqrt(8)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-8)\/(-4) - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l**2 + 156*l - 1157. Let p be k(10). Which is the closest to p? (a) -13\/4 (b) -2 (c) 0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 + 107*q.\nAnswer: -q*(q - 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 1\/((-2)\/(-60)*1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -174834*i**3 + 5*i**2 + 4935976*i?\nAnswer: -1049004*i + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*r - 404 - 94 = -99 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 238\/51*(-18)\/21?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 9*m - 4. Let h be x(4). Let d be (-3)\/2*h\/(-12). What is the tens digit of (-2)\/(-4) + 94\/d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 283.48877.\nAnswer: 141.744385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*l + l + 22, 0 = -l - 4. Suppose -3*s = k*o - 128, s - 43 = -0*s - o. List the prime factors of s.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*p = 12, -m - 12*p = -8*p + 12. Suppose 0 = -2*u + 2 - m. Sort 12, 5, u.\nAnswer: u, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.60945 rounded to two decimal places?\nAnswer: 3.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*k**5 - 5*k**4 - k**3 - 25*k**2 - k + 7.\nAnswer: -480*k**2 - 120*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -316?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 8*m - 6. Let d be x(-6). What is the highest common divisor of 42 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1248536 = -1248535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 11167365\nAnswer: -44669460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3709b44 (base 12) to base 11.\nAnswer: 605a8a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 5162325?\nAnswer: -10324650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91280?\nAnswer: 2, 5, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**3 - 5*x**5 + 5*x**3)*(3 - 1 + 0)*(0 - 2 - 3).\nAnswer: 50*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgeegefedffffgd. What is prob of picking 1 f and 1 g?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2274*n + 59080 + 13688 = 0 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 - 18*w**2 - w + 11. Let z be u(-9). Let r be -18 + z + 1 + -3. Suppose r = 6*o - 16 - 2. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 115 = -25. Let w = 121 - 123. Let m = w + 212. Calculate the highest common factor of x and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + t - 60 = 0. Let v be 1\/(-5) + (-21)\/t. Let c be 6*((-5)\/3 + 1). What is the closest to -1 in c, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 - 21*y. Let z(l) = -17*l**2 - 8*l + 144. Let u(m) = -18*m**2 - 9*m + 162. Let h(a) = 8*u(a) - 9*z(a). What is r(h(t))?\nAnswer: 162*t**4 - 189*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j**2 - 6*j. Let g(p) = -p. What is 6*g(k) - r(k)?\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20902873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2251, -20, -5 in decreasing order.\nAnswer: 2251, 4, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + l - 4. Let p(w) = -5*w**2 - 2*w + 22. Let q(k) = -p(k) - 6*r(k). Give q(-8).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 5*l**2 - 6*l - 2. Let u be z(4). What is the tens digit of (-7824)\/u - -3 - (-4)\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/((-5)\/(-4))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - m - 3*m = -80, 5*m = -25. Let z be (-1)\/(1\/(-1))*160. Calculate the highest common divisor of z and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 24*s**3 + s. Let k be f(1). Suppose k = 6*m - m. Find t, given that m*t**4 - 4*t**4 + 0*t**4 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = x - 3*k, 3*x - 23 = 5*k + 3. Factor t**4 - 8*t**3 - 129 + 65 + 16*t**x + 64.\nAnswer: t**2*(t - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -79*r + 7761 + 3815 - 2096. Which is smaller: r or 1310\/11?\nAnswer: 1310\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -565\nAnswer: 9\/565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/3268 and -113\/8170?\nAnswer: 16340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 3\/2*q**3 + 2*q + 0*q**2 + 0. Let m(r) = 2*r**2. Give v(m(k)).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64 - 4) + -184 - -69.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.41 + -2.79. Let p = 0.2 + y. Which is the closest to 1? (a) -0.3 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + 30334002?\nAnswer: 30333432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**2 - 98*t + 240. Give d(-35).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/4356 and 61\/88.\nAnswer: 8712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*v - 62. Calculate the remainder when v is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4 + 3482*h**3 + 1294050*h**2 - 3182510898*h + 9535792392 = 0.\nAnswer: -908, 3, 1323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -71?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29c (base 13) in base 4?\nAnswer: 13103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1845*i**3 - 6*i - 1079*i**3 + 2*i**2 - 1 + 5*i - 6006*i**3 - 2054*i**3 as c*i**3 + l + n*i**2 + o*i and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -167503*m**4 - 7905*m**2 - 2.\nAnswer: -4020072*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(24)\/(sqrt(8) + sqrt(24)\/sqrt(3) - sqrt(8)) + sqrt(24)\/(sqrt(8)*1)).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(((i*i*i*i**(-10)*i)\/i)\/i))\/(i\/(i*i*i\/(((i*(i**(1\/71)*i)\/i)\/i)\/i))))**(-17) assuming i is positive.\nAnswer: i**(-14467\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2355227 (base 8) to base 15\nAnswer: -cb523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-86)\/12*-43*438\/(-3139).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/2 of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.5 - 5.531. Let c = w + -2.709. Let n = -1.06 - c. Round n to 1 dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j + 35 = -z, -2*j + 3*z = -37. Find the third derivative of 139 - 139 - q**3 + j*q**2 - 10*q**3 wrt q.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 18*f - 21. Let t be x(17). Let n = -36 - t. Find the third derivative of 16*g**6 - 24*g**6 - 7*g**2 - 12*g**n wrt g.\nAnswer: -960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 618*l = -599*l + 265*l - 33424 - 4656 for l.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8517589, 8517464, 8517339, 8517214, 8517089?\nAnswer: 8516964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8051174ms to microseconds.\nAnswer: 805.1174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-35)*(1422\/18)\/632\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 4, -m - 3*x = -8. Let c be 2\/2 + (-1 - 0). Suppose -3*u - 5 + m = c, -4*u = -a + 29. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3499 - -4550. Calculate the remainder when m is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 + 38. Let k(o) = -o**2 - 10*o - 7. Let h be k(u). Let r(n) = n**2 - n - 17. Let a be r(h). Calculate the highest common divisor of 15 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t + 24. Suppose -3*k - 3*k = -0*k. Is h(k) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2. Let n = 0.266356 - -0.133644. Which is the closest to r? (a) n (b) -4 (c) 0 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1026 is divided by 406?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3361 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: Calculate 163\/(-45) + 44\/198 + (-8)\/(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368 is divided by 93?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*l + 200 = -14*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 - 328*q + 0 + 1.\nAnswer: -328*q + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 669228 and 1488?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n - 43. Let o(p) = 14*p + 131. Let w(c) = 3*o(c) + 8*t(c). Let a(f) = -2*f**2. Determine a(w(b)).\nAnswer: -8*b**2 - 392*b - 4802","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**2\/2 - h + 5. Let f be b(-2). Let r be (10 + (-510)\/50)*6\/33. Which is bigger: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28274459 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445298 is divided by 63166.\nAnswer: 3136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-34)\/(-51) + (8\/6 - 1). Solve k - 7 = -3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48406333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3580 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -a51 (base 12) to base 6\nAnswer: -10541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/70 and 13\/15.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/7)\/l**(-2))**(2\/5) assuming l is positive.\nAnswer: l**(36\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, r: 2}. What is prob of picking 2 r and 2 v?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ru when two letters picked without replacement from {u: 4, i: 2, r: 1, d: 1, h: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 768.8515 millilitres to litres.\nAnswer: 0.7688515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/25 of a millennium?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 87*h - 660. Let v be q(94). Which is greater: -1899 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 16*j - 107. Give c(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56765.\nAnswer: 5, 11353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -49.72 and -0.6.\nAnswer: 29.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2, 3, 1, 832, -4 in decreasing order.\nAnswer: 832, 10, 3, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 w when four letters picked without replacement from wrrwwwwwwww.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 10*d - 1 - 2*d**2 - 7*d + 5*d - 3. Let y be h(5). Let j be 3\/y*(-7)\/6. Which is the nearest to 0? (a) 5 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**2 - 3162*o + 4 + 3162*o + 7*o**3. Let p(w) = 57*w**3 + 33*w**2 + 33. What is -33*c(k) + 4*p(k)?\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -401*d**5\/10 + 2557*d**2\/2 + 3*d + 78. Find the first derivative of i(w) wrt w.\nAnswer: -2406*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ci when two letters picked without replacement from ivccvcivvccivvvccc?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4541 + 4546. Solve f - 8 = 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13757 + 13759. Solve -2*a - 22*y + 21*y = d, 2*y = 3*a - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -2 (b) 1\/6 (c) 93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 455, 1630, 3971, 7880, 13759, 22010?\nAnswer: 33035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6055183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*2\/8)\/((-6)\/48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -244 + 249. Suppose g = -0*g + 2. Solve 24 = 5*d - g*z - l, 14 = 4*d + 3*z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**9\/10080 + q**8\/4480 - q**7\/1680 - q**6\/480 - q**4\/4 - 6*q**2. Let k(h) be the second derivative of j(h). Solve k(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9240391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 + 9)\/((-4)\/(-2)). Calculate the remainder when ((-8)\/(-6))\/((-2)\/(-15)) is divided by j + (-2)\/(-1) + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jssmcjmjjcjmjjjjjssc. Give prob of picking 3 c.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6475 is divided by 324.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17\/4 of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -957*b**3 + 43*b**2 + 954*b**3 + 0 + 1 - 37*b**4 + 38*b**4 as n*b + c + s*b**2 + y*b**4 + j*b**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16552 + -11826. List the prime factors of s.\nAnswer: 2, 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1028 or 577?\nAnswer: 1028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 695254187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 50600.\nAnswer: 101200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**5 + 137*u**4\/3 - 11*u**3 - 905*u**2\/3 + 204*u + 60 = 0.\nAnswer: -15, -3, -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 95 + -3. Is (-46)\/k - (-11583)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + sqrt(13) + sqrt(39)\/sqrt(3) - (sqrt(3328)*-4)\/sqrt(4).\nAnswer: -5 + 34*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 10. Let h = i + 3.9. Let g = -420.7 + 415.7. Which is the third biggest value? (a) g (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*h + 18*h - 43*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2. Let y(l) = 946*l**2 - 2. What is y(u(c))?\nAnswer: 3784*c**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -0.11, -2, 2\/15, -1521447, -0.5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(117) + (-3*sqrt(91)\/sqrt(7))**2 - (-2 + 2*sqrt(325) + sqrt(325) + 3)**2.\nAnswer: -2810 - 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**2 - 36720*x - 696236 = 0. Calculate x.\nAnswer: -9161, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 52594577 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/9598 and 20\/27?\nAnswer: 259146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-399)\/(-35))\/(3 + (-278)\/90). Let i = z - -144. Suppose -15*p + 3\/2*p**3 + 21\/4*p**4 - 3 - i*p**2 = 0. Calculate p.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + (sqrt(475) - (sqrt(475) - (sqrt(475) + sqrt(475)*2)) - sqrt(475)) + -3)**2 - ((sqrt(931) + 3)**2 + 1).\nAnswer: -132*sqrt(19) + 3343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 2*i - 43. Let f be x(-8). Solve 5*o = f*j - 22 + 2, -5*j + 17 = -2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*u - 2*u - u)*(1 + 1 + 1) - 2*u - u + u)*(-1 - 3 + 3).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -0.7. Let r be 5*(-5)\/25*1\/(-3). Put s, r, 3\/7 in decreasing order.\nAnswer: 3\/7, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 - 14*l + 2. List the prime factors of c(10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -685 + 720 + -1 + -8 - 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 531 and 7788.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-11)\/v**(-7)*(v\/v**2)\/(v**(2\/13)*v) assuming v is positive.\nAnswer: v**(-80\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7644\/227 - -1231954\/3405. Let m = c + -328. Let k(z) = -z**2 + 2*z + 4. Let r be k(3). What is the closest to 0.1 in m, -2\/17, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 799973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1404 and 1350?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 70 (b) 2\/5 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 258.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76319463.63 - 381.\nAnswer: -76319844.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -2. Let l(c) = -c. Let u be l(0). Suppose -g + 2*q + 5 = -7, -5*g + 60 = -3*q. Solve -x*i - i - g = u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16507, -66107, -148775, -264511, -413315, -595187, -810127?\n\"Answer: -16534*a**2 + 2*a + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18478 is divided by 638.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.1, 0.032, 3, -6?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33415?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.1130461 to 1 dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2812428 divided by -312492?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8299328 is divided by 21335.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8270924?\nAnswer: 2, 31, 66701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 96.3 + 3.7. Let h = 99.9 - k. Which is the smallest value? (a) h (b) 2 (c) -1\/42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10842)\/(-117)*1422\/(-948)?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10655181, 21310364, 31965547?\nAnswer: 42620730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -8*j**2 - 11*j - 11. Let t(r) = 3*r**2 + 4*r + 4. Let f(u) = -11*t(u) - 4*w(u). Let v(h) = h + 29. Give f(v(m)).\nAnswer: -m**2 - 58*m - 841","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 478794 to the power of 1\/2, to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -131739 + 1?\nAnswer: -131738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 3*m - 30, 2*u + 1 = 5*m + 32. Solve -16 = 2*s - 5*c, -8 = u*s - s - c for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from {v: 11, p: 3, y: 4}.\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*2\/(-9) - 15\/108. Let v(r) be the third derivative of 1\/30*r**6 + 0*r**5 - 2*r**2 + 0 + x*r**4 - 1\/6*r**3 + 0*r. Calculate v(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 32 - 7?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8498.87 + -8499. Is g less than 81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eorucore. Give prob of picking 2 o.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -8, -423, -33 in decreasing order.\nAnswer: -8, -31, -33, -423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, w: 2, e: 11}. What is prob of sequence eww?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105226030.\nAnswer: 2, 5, 7, 13, 16519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -1.7. Let f = g + 0.6. What is the closest to 0 in -1\/2, f, 1\/42?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/79476 and -79\/8.\nAnswer: 158952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 591394?\nAnswer: 8\/295697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/25 + (-4)\/5. Put 4, w, 0.5 in descending order.\nAnswer: 4, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**5\/9 - 3872*u**4\/3 + 22307074*u**3\/9 - 14150074388*u**2\/9 - 18956118104*u\/3 - 56957768560\/9 = 0. Calculate u.\nAnswer: -2, 1771, 2270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*l = 57*l + 712. Calculate the remainder when l is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-2 - 1 - (-8 - -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 1213026\nAnswer: -11\/1213026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 78752 divided by -368?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3960 = -s, 12*u - 3935 = 7*u - 4*s. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -15511*i + 14363183. What is w(926)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162709 by 9.\nAnswer: -162709\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2914325000 to the nearest one million.\nAnswer: 2914000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1230517.1*0.14.\nAnswer: 172272.394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (114144\/(-64))\/(-41)*6\/(-45).\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 + -39. Suppose -10012 = -n*f + 4*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 29147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68 - -30. Let g = 95 - m. Suppose 6*h + h = g. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 15714*y. Let o(i) = 5*i. What is o(f(d))?\nAnswer: 78570*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 873 divided by -66\nAnswer: -291\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 277.8, 2, 20\/3, -8 in decreasing order.\nAnswer: 277.8, 20\/3, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 15. Suppose v = -0*c - 6*c + 36. What is the remainder when 16 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 295 - 108 = -11*i for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1994658 rounded to 3 decimal places?\nAnswer: -0.199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.113745 and -35.\nAnswer: -3.981075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*f**3 - 5*f**2 - 9*f**3 - 3*f**2 + 5*f - 2*f**2.\nAnswer: 5*f*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and ((-216)\/7)\/(-7*(-12)\/(-4116))?\nAnswer: 16632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 3*w - 23. Calculate r(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-25))\/j**1 assuming j is positive.\nAnswer: j**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*y**3 + y**3 + 318*y**3 - 95*y**3 - 90*y**3.\nAnswer: 32*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (0 - (-34 + (16 - -2)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 8\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2*k - 4*k**4 + 3 + 2 + 2*k**2 - 2*k**4 to n*k + i + r*k**3 + l*k**4 + h*k**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -13*f + 5*f - 22*f**2 + 21*f**2 - 11*f - 4. What are the prime factors of u(-12)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-105))\/((-5)\/30 + 16\/(-120))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 8510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lbb when three letters picked without replacement from vbvvvvvvlb.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -213, 0 in descending order.\nAnswer: 0, -5, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 419059668 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-9)\/(y\/y**(-1\/14)))\/(y**(-9)\/y)**(-11\/6) assuming y is positive.\nAnswer: y**(-1193\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + -3 - (2 + 1). Suppose f = u + k - 4*k - 310, 0 = u - 2*k - 309. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = -g + 4*v + 42, 150 = 5*g - 5*v. Find the first derivative of 1763*s**3 + 71 - g*s**4 - 1763*s**3 + 24 wrt s.\nAnswer: -136*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 21 = -3*j, -2 = 3*j + 5*z + 3 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3933 divided by 3933?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83957439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/3 + 2 + 0. Let c = -107950\/21 - -5140. Is c greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123670 is divided by 75?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 168?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0, -0.38, 503?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/4 - 19*k**2\/2 + 20*k.\nAnswer: -k*(k - 2)*(k + 40)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -641055 bigger than -641055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*k + 5*q, -5*q - 21 = -2*k - 0. Let g = k - 5. Find the third derivative of 2*u**3 + 2*u - 4*u**g - 2*u + 4*u**2 wrt u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 22*i - 38. Let q be s(-7). Let z = -564 - q. What is the tens digit of (z\/10)\/((-6)\/(-15)*-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119680 is divided by 29569?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 240525305 - -4?\nAnswer: 240525313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/32 + -2 - (-7030)\/304?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1211 - -10903\/9. Let i(k) be the second derivative of 0 + 7*k + 0*k**2 + v*k**3 + 1\/9*k**4 - 1\/15*k**5. Let i(r) = 0. What is r?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 184.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 8 + 25 = 5*b, 3*g + 49 = 5*b. Let q be (-2)\/g + (-266)\/104. Which is greater: -2 or q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 11*a**3 + 183*a**2\/2 + 90*a - 1170. Solve g(v) = 0 for v.\nAnswer: -5, -6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -93.816 - -93.860737. What is c rounded to 3 dps?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (10 - 6) + -491. Let l = 815 + a. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a. Let i(q) = 60 - 66 + q + q - 8*q - 2*q. Calculate 2*i(p) - 18*n(p).\nAnswer: 2*p - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11750\/3 + 3811. Let r = -106 - m. What is the fourth biggest value in r, 0, -0.4, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -4 (c) 17 (d) 2\/1591 (e) 0.85\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.321 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 168101350 to the power of 1\/3, to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 322269 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k**2 + 2535*k - 141736. Calculate l(64).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.2 - -522171371.\nAnswer: 522171373.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -2\/9 (c) 7121 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 122030320222?\nAnswer: -122030320221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1669 - 1668. Let h = 2\/313353 - -585970084\/4073589. Let b = h + -144. Put 3, i, 0.3, b in descending order.\nAnswer: 3, i, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i - 7. Suppose 8*g + 4 + 20 = 0. Let r be l(g). Calculate the remainder when -2 + (r - 3) + 60 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 155 and 4154.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 2*u - 308600000 = -5*a, 3*u = -4*a - 231450000. Round u to the nearest one million.\nAnswer: -77000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -10. Let l(k) = -6*k - 27. Let z be l(-5). Solve 2*s - b = z*j, -s - 3*s = -3*j - 19 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482691 is divided by 59?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -26152982, -52305944, -78458906, -104611868, -130764830, -156917792?\n\"Answer: -26152962*m - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76 + 150. What are the prime factors of a?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2083 minus 399835.1?\nAnswer: -397752.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -2, -33, -90, -179, -306, -477?\nAnswer: -698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, 129, 131, 133, 135, 137?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -85118.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.96 + -7. What is the third biggest value in c, -2\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 8. Let i = g + 1.8. Let l = i + 0.6. What is the smallest value in l, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -89 (c) -29\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334688.\nAnswer: 2, 10459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, -0.1, 0.039, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -2 - (0 + -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*n - 12*n - 3*l - 10, -2*n + 25 = 3*l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4624617001.7749659 - 10.7749659. Let t = s - 4624616948.00000017. Let y = t + -43. Round y to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -121.09 - 8.01. Let d = l - -129. Which is greater: d or -17?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29316, -29311, -29304, -29295, -29284, -29271, -29256?\n\"Answer: z**2 + 2*z - 29319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-15) + 171\/95. Let j(m) = -11*m. Let g(a) = a. Give o*j(i) + 6*g(i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/4 + (-68)\/(-16). What is the third biggest value in 1\/4, h, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7021 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 447 + -455. Let o be (c\/(-12))\/2 + (-253)\/(-33). Solve -2*y - o*y = -10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 5 - -1)*-1 + 107. Suppose 2*g + s = 114. Solve 2*t - 8 = -g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104 * -13\nAnswer: -1352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o - 2*o - 3*o)*(-2*o**3 + 0*o**2 + 0*o**2) + 78*o + 26*o**4 - 78*o to s*o + f*o**4 + i + n*o**3 + l*o**2 and give f.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.131 * -2838\nAnswer: 371.778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gwoo when four letters picked without replacement from {t: 4, o: 3, y: 2, g: 4, d: 4, w: 3}?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 48352693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7139446529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 730288 - -11?\nAnswer: 730299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 3*r + 18, g + r = -2*g - 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c + 800 = -334. Suppose 27*n - c = 18. Let u = -6 + 10. Sort u, n, -1, -5 in ascending order.\nAnswer: -5, -1, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*m**4 + 29*m**3 + 2*m - 89?\nAnswer: 36*m**2 + 174*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 313290324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -9. Suppose 41 = 3*i + d. Suppose 0 = 4*s - 0*b + b - i, -7 = -4*s - 3*b. Solve -2*m = 4 - 6, 8 = -4*o - s*m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ru when two letters picked without replacement from zuuzzuuurzru?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5016 + 2634?\nAnswer: -2162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.4597412 microseconds to hours.\nAnswer: 0.000000001238817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-45)*(-55)\/(-132))\/((-2)\/(-156))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12062, -15999, -19936, -23873, -27810, -31747?\n\"Answer: -3937*w - 8125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 0 - 5\/24*u**4 + 0*u - 1\/30*u**5 + u**3 + u**2 + 3\/20*u**6. What is the tens digit of q(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8*16\/(-42)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/9)\/((-17)\/204)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11.302 * -1159.2\nAnswer: -13101.2784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10079118 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -237, 15 in descending order.\nAnswer: 15, 5, 2, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 282 = 582. Is t a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 25\/3. Let -1\/3*i**5 - f*i - 1\/3*i**4 + 5\/3*i**3 + 1\/3*i**2 + 4\/3 = 0. Calculate i.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + t + 1. Let o(h) = -h**2 - 16*h - 11. What is -o(p) - 4*q(p)?\nAnswer: -3*p**2 + 12*p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2 - 77*o + 357. Determine j(18).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, k: 2, z: 1, d: 1, m: 1, q: 1}. What is prob of sequence mmvm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -3*s + t, -16 = s + 5*t - 4*t. Let w be 4\/s + 32\/14. Solve -2*h + 1 = -w*q + 3, -2*h = q - 10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**5\/30 + c**4\/6 + c**3 - c**2. Let n(b) = b**2 - b - 1. Let h(k) = m(k) + 3*n(k). Does 9 divide h(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(57)\/sqrt(3)*-4)**2 + ((1 + sqrt(19))*4 + sqrt(19))**2 + (sqrt(76) + 0)*6 + sqrt(76)).\nAnswer: 270*sqrt(19) + 3975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 7:17 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2, -2216, 9.857?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/224)\/((-89)\/(-356))*536.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9837284 - 81327284. What is y rounded to the nearest 1000000?\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*i**5 + 28*i**3 + 4520*i**2?\nAnswer: -1380*i**2 + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408482775.\nAnswer: 3, 5, 37, 139, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -119208116 or -119208118?\nAnswer: -119208116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1007668?\nAnswer: 2, 251917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*3 + (-3 + sqrt(19))*6)**2.\nAnswer: -540*sqrt(19) + 4599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 13*r - 3. What is p(14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3367\/32394 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - f - 9 = -t, -5*f + t = 0. Suppose -w = 2 - f, 4*h = 2*w - 18. Does h = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*u - 116 = 48*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 428*h + 4271. Give i(-7).\nAnswer: 1275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*a + 3 = 0, 5 = 4*a - 3. Suppose p - 1 = 0, m - 2*p + d = 4*m. What is the units digit of 2 + -2 + m + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17, -35, -53, -71, -89, -107?\n\"Answer: -18*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + 0. Let q = 23.2 - s. Sort 2\/7, 1, q, -1 in ascending order.\nAnswer: -1, q, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 4.1. Let q = p - -0.3. Let u = -9 + 6. Which is the closest to 2\/5? (a) u (b) -4\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1563 divided by 4\nAnswer: 1563\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30778 and 89536.\nAnswer: 984896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4771.\nAnswer: 13, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 bigger than -529\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -294766+4450.778\nAnswer: -290315.222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (-28)\/7*(-62)\/122. Is 1 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.4 (b) -830830 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -994c - 1?\nAnswer: -994d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00545662127 to six dps.\nAnswer: 0.005457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -152, 5, 3, -3, 137 in ascending order.\nAnswer: -152, -3, 3, 5, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 14420.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 8*f**2 + 6. Let j(i) = -i**2 - 13*i - 4. Let u be j(-12). What is w(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 - 4*b**3 + b**3 + (-183*b**3 + 20*b - 20*b + 4671*b**3 + 2375*b**3)*(-3 + 0 + 2) in the form w*b + d*b**3 + z + p*b**2 and give d.\nAnswer: -6865","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 15 = 4*g - 2, -5 = -g + 2*i for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1622 is divided by 125.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 7 - 1. Suppose 0 = -4*n + 5*i - i + 72, 3*i = n - 24. Solve -r - v*r = n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 1 + 4 + 2*d + 6.\nAnswer: 2*d - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 267656317 minus 0.1?\nAnswer: 267656316.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.5 - -2.5. Let h = 0.5 + -0.9. Suppose -5*b + 3*s - 10 + 2 = 0, -3*b - 24 = 3*s. What is the closest to b in h, u, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/10 - (-12)\/(-30). Solve -v = -y - 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67 + 71. Solve 1 = -o*x - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hxmxmppmmsmxmmmx. Give prob of picking 1 x, 1 p, 1 h, and 1 m.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w**2 + 5*w - 6. Let l(o) be the second derivative of o**4\/12 - o**3\/6 + o**2\/2 + 5*o. Let s(n) = -21*l(n) - 3*r(n). Factor s(i).\nAnswer: -3*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/78 + -961\/78. Let s = -13 - d. Let u = -302 - -303. Which is the second smallest value? (a) s (b) u (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1504, -2084, -2666, -3250?\nAnswer: -3836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d - 4*d - 4*d + 3*d**2 - 4*d**2 wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (9 - 5) + 81. Let v = -74 + m. Let x(h) = -h**2 + 12*h + 4. Let k be x(v). Solve -f + k*f = 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/47547 and 18\/11.\nAnswer: 523017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 5*i + 2. Let t be h(-5). Suppose v + 0*v + l = 1, -t*v = -3*l - 22. Suppose 2*y + 8 = 0, -2*y + 15 = r - v. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 2*v**4 + 9 - 5*v**3 - 6 + 1 - v in the form w*v**4 + k*v + l + z*v**3 + p*v**2 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6461 a factor of 619475787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2406*m + 1121*m - 2001 - 24 = -1210*m for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 5*u**2 - 16*u - 8. Let b be v(-6). Suppose -10*d = -q - 11*d + b, 2*d = 4*q - 220. Calculate the highest common factor of 54 and q.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 d when two letters picked without replacement from {u: 6, c: 3, a: 2, d: 1, p: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -1511.\nAnswer: -1511.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 165, 166, 167, 168?\n\"Answer: d + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 2*c - 1. Let w be y(1). Suppose 0 = w*n - n - 2. Solve -a = n + 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -218, 1 in increasing order.\nAnswer: -218, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*b + 84 = 7*b. What is the nearest to 0.3 in -2\/15, -18, b?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 38\/9? (a) 0.1 (b) -0.3 (c) -14\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -92728 divided by 1329\nAnswer: -92728\/1329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35062 (base 10) to base 7.\nAnswer: 204136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1143 = 110*u + 25587. Which is smaller: u or -229?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6*p - 5*u + 45 = 0, 5*u = -4*p + 38. Suppose 16 = -p*k - 131. List the prime factors of (-1335)\/(-21) - (-12)\/k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15026 + 15030. Let j = -0.8 + -0.2. Which is the nearest to j? (a) 2 (b) 63 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5321808 a multiple of 370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 0*a**2 + 0*a**3 - 4 - a**3 + 5*a**2 - 2*a. Let u be c(4). Let m(k) = -k**3 + 4*k**2 + 3. What is m(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**3 + 16163 - u**2 - 8081 - 8080 + 38*u + (0*u + 0*u - u**2)*(-2*u - u + 5*u) as n*u + o + w*u**3 + r*u**2 and give n.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.77353 rounded to 1 dp?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/4 of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-1\/3)*m)**2\/(((m*m**(5\/9))\/m)\/m*((m**(1\/15)*m)\/m)\/m) assuming m is positive.\nAnswer: m**(362\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -517*k**2*r**3 + 2*k*r**3 + 1549*r**3 wrt k?\nAnswer: -1034*k*r**3 + 2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54\/235 + 11293\/5170. What is the common denominator of ((-38)\/24)\/(2\/30) and g?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-10))**26\/((l**22\/l)\/(l*l*l*l*l\/l**11)) assuming l is positive.\nAnswer: l**(-287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) 0.64 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6605.8 + 6606. Do 2\/1043 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from eeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 5*v - 4*k, 15*v - 10*v + 5*k = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 5*j**2 + 4*j + 5. Let y be g(-4). Suppose 53 = -y*o + 3. List the prime factors of (-126)\/o + (-2)\/(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100 (base 9) to base 10.\nAnswer: -6642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + w**2 + w. Let i(p) be the third derivative of 7*p**6\/120 + p**5\/10 + p**4\/4 - 307*p**2. Suppose -g + 1 + 0 = 0. What is g*i(a) - 6*m(a)?\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 349122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175, -346, -515, -682?\nAnswer: -847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6*q. Let r(m) = 7*m - 1. Let h(t) = -6*i(t) - 5*r(t). Let z be h(-12). Which is smaller: z or -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7)**(-10\/13) assuming d is positive.\nAnswer: d**(-70\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8424c5 (base 15) to base 9\nAnswer: -12738765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 284328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1884.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2047 or 75015?\nAnswer: -2047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4319 a factor of 1320118145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c = 19*c + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40 + 9 - 5*r - r**2 + 11 + 15 to the form w + v*r**2 + x*r and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 183035*m + 732151. What is l(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 28*c**3 + c**2 - 17. What is the remainder when p(3) is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + x = 13, -4*m + 12 = 4*x - 8. Suppose 3*f = -4*i + m + 5, 3*i = -4*f. Let w(g) = -g + i*g - 6*g. Let a(z) = -2*z**2. Determine w(a(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -241, -239, -235, -229, -221?\n\"Answer: p**2 - p - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(40) - sqrt(160))\/sqrt(8) + -4 + (sqrt(405)*-2)**2.\nAnswer: 6*sqrt(5) + 1616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-8))\/((-1)\/(-2))*4\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -4*d + 8*d + 4*p, 0 = p. Let t be (-25)\/d*6\/25. Sort -1, 3\/5, t.\nAnswer: -1, t, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - p - 6, -o + 14 = 3*o + 3*p. Suppose 0 = -3*w - 15, -o*w + 3 = 5*r - 2. Solve 3*m - 25 = -r*q + m, 5*m - 25 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 788885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbhhbhhh. What is prob of sequence bbh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -232 + 362. Let p = 3803713\/29344 + 3\/29344. Let y = p - s. What is the common denominator of 89\/2 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a*u**3 - 1386*a*u**2 + a - 119*u**3 wrt u?\nAnswer: 12*a - 714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 + 43. What are the prime factors of (6 - x) + (1 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 91 - 86 = 0. Let r = -183 - b. Let c(k) = -k - 12. What is c(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -13*f**4\/4 + f**3\/6 - 5*f**2\/2 + f - 4. Find the second derivative of n(g) wrt g.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/3)*z*z*z**2*z*z**(-1\/3)*z**7*(z**(-2\/5))**1\/((z*(z*(z*(z\/(z*(z*z**4*z)\/z))\/z)\/z)\/z)\/((z\/z**1)\/z)) assuming z is positive.\nAnswer: z**(239\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*o - 7*o = -16, 5*g - 14 = 3*o. Factor 4*j - 24*j**3 - 9*j + 22*j**2 + g*j - 2 + 5*j.\nAnswer: -2*(j - 1)*(3*j + 1)*(4*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -1 + -21 + 25 + -23 + -1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111100 + -110111111001001000?\nAnswer: -110111111100000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.113 (b) 2\/5 (c) 1 (d) -0.4 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-19 + -19 + 39 - 1) + 26\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*k = -35, 3*u - 9 + 6 = 4*k. Solve -u*b = -r - 8*b + 13, -4*r + b = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n + 2 - 2)*(-563596*n - 12026*n**2 + 563596*n) to z*n**3 + a*n**2 + f*n + d and give z.\nAnswer: -24052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**3\/6 - 1135*n. Let j be (-44)\/(-16) + (-2)\/(-8). Let c = -4 + j. Let y(v) = 4*v**2 - 16*v. Calculate c*y(p) - 16*x(p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -2566?\nAnswer: -2571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8)\/h*h)**41\/(h**(-9\/5)*h)**(-3\/28) assuming h is positive.\nAnswer: h**(-11483\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.1883978 - -0.5.\nAnswer: -8.6883978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 + 14 = -4*t. Let x = -13 + t. Suppose 0 = -4*n + 3*y - 20000015, 4*y = -x*n - 4763053 - 5236927. Round n to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + 2. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*y**2 - 5777*y + 93149 wrt y.\nAnswer: -6*y - 5777","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 + 652*t + 9912.\nAnswer: -4*(t - 177)*(t + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -13. Let a = 0.4 + -0.1. Let c = -49\/9 - -307\/63. What is the closest to 0.1 in c, a, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4*q + 9 = -5*i, 2*q - 2*i - 18 = 0. Suppose -4*n - 15 = -z + 4, q*n - 19 = -z. Let s(l) = 22 + 12*l**2 - 7*l**2 + 4*l - l**3 - z. What is s(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence plpe when four letters picked without replacement from lttpltltppllpitpppe?\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -76 + 387. Let m = s - 311.1. Sort m, -1\/8, 2\/19.\nAnswer: -1\/8, m, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/7*(-2 + (-5)\/(-2)). Let f(r) = 6*r**2 - 14*r + 6. Let z(g) = 7*g**2 - 15*g + 7. Let d(t) = i*z(t) + 3*f(t). What are the prime factors of d(6)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38165.\nAnswer: 5, 17, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 + 2*q + 3. Let a be o(-2). Let r = -7 - a. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1602, -3191, -4802, -6447, -8138?\n\"Answer: -2*h**3 + h**2 - 1578*h - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1268 - 625 - 156 + 2*b)*(0*b - 2*b + 0*b) to r*b + m + k*b**2 and give r.\nAnswer: -974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -6.07. Let u = 0.07 + h. Which is the third biggest value? (a) u (b) -0.1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/50 and 13\/20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(5) - (sqrt(5) + 0 + -4)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3957 + -3382. Calculate the highest common factor of 253 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6153 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y - 236. What is o(53)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnmnm. Give prob of picking 1 n and 1 m.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 311*k - 1787. Let u be v(7). What is the highest common divisor of 2470 and u?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6*c + 27924. Let o(r) = 86*r - 3. Calculate o(l(j)).\nAnswer: -516*j + 2401461","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 602 and 13932.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 9*k**2 - 8*k - 27. Give j(-8).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3327, 6652, 9973, 13290, 16603, 19912?\n\"Answer: -2*x**2 + 3331*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 + -0.1. Let y = l + 0.37. Let n = y - 0.6. What is the second biggest value in -0.5, n, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3269 + 7353. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13030110 (base 4) in base 14?\nAnswer: aa44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, -4, -0.1, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -24. Suppose q = -3*o + 103, -h*o + 2*q + 41 + 33 = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9647*a**2*r**3 - 16*a*r + a - r**3 - 6 wrt a?\nAnswer: 19294*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2 - 4 + 7*r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1222031 (base 11) to base 14\nAnswer: -3d4917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/11813280 and -41\/4134648?\nAnswer: 82692960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/(((u**(6\/11)\/u)\/u)\/u))*u**(-8)*u*(u**(-3\/20)\/u)\/(u*(u**(-1\/20)\/u)\/u*u*u) assuming u is positive.\nAnswer: u**(-1271\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5682857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1646.5 + 1646.7. Which is bigger: u or 107\/17?\nAnswer: 107\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -432 by -35880.\nAnswer: 18\/1495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 11:26 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2*-4 - -6. What is the remainder when 31 is divided by 32\/(-2)*(-2)\/h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 12*x - 6. Let y be b(-5). Let q = y + -11. What are the prime factors of (24\/q)\/((-2)\/(-9))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2788296 nanograms in tonnes?\nAnswer: 0.0000000000000002788296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 53 in 2, -2\/7, -3, 2\/25, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - j**2 - 104 + 2*j**2 - 74 in the form c*j**2 + x*j + m and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 0.05469115?\nAnswer: -0.027345575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 175 + -194. Which is the second biggest value? (a) -4 (b) k (c) 2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2893444?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 31, 58, 75, 76, 55, 6, -77?\n\"Answer: -k**3 + k**2 + 31*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*sqrt(6655) + sqrt(55))\/((sqrt(11) - sqrt(44))*4).\nAnswer: -2 + 21*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -5. Let y be (v - 0)*(-3)\/3. Let k(a) = 15999*a**3 + a. Let l be k(y). Round l to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 371, 743, 1135, 1553, 2003, 2491, 3023?\nAnswer: 3605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -16. Let r = -0.0032 + g. Round r to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -13. Let b = z + -20. Let x(k) = k**3 + 5*k**2 + 4*k + 2. Let j be x(b). Solve 0 = 2*i + j*r - 1 + 3, -16 = 4*r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/2*(-12)\/(-9). Let b be t\/9 + (-94)\/(-6). Let r = b + 0. What is the highest common divisor of 45 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.9 + 3. Let h be ((-1038)\/4)\/((-435)\/(-812)). Let f = -485 - h. Put f, 3, -0.2, d in decreasing order.\nAnswer: 3, d, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 652*s**2 - 5686*s - 35719940 wrt s?\nAnswer: 1304*s - 5686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -419 greater than or equal to -447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91108645 - -10061075. Suppose 5*u - h = 177991780. Suppose 2*f - 5*l = 36199975, 2*l - 19632310 = 2*f - u. What is f rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, -0.042, 860 in increasing order.\nAnswer: -0.042, 64, 860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1187\/171 - 62\/9. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -52*b**2 - b + 1. Let h(u) = -53*u**2 - 2*u + 1. What is 3*h(o) - 4*y(o)?\nAnswer: 49*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.45 + -4.5. Let u = h + 0.55. Let p = -218 - -437\/2. Which is the nearest to 1\/7? (a) p (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1678 - -1?\nAnswer: -1677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18 - -1614?\nAnswer: 15fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 232*a - 21889. Determine t(72).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -5) + (-10)\/5. Which is the second smallest value? (a) i (b) 5 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-55))\/((-3)\/(-6))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**2 + 10*h - 12*h - 2*h to u*h + o + n*h**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 8*s - 1. Let k be (2\/(-4))\/((-3)\/42). What is the least common multiple of 18 and d(k)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + (-2*sqrt(72) + sqrt(72))\/sqrt(9) + (-3 + sqrt(72))**2)*-5.\nAnswer: -405 + 180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42.436*0.099.\nAnswer: -4.201164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2981? (a) -0.1 (b) 3 (c) -8\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29467646, 2, -2.\nAnswer: -2, 2, 29467646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -1\/300*i**6 + 0*i - 169\/60*i**4 + 0 + 58*i**2 - 13\/75*i**5 + 0*i**3. Factor r(v).\nAnswer: -2*v*(v + 13)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 24.933?\nAnswer: -28.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.59 - -3.52005. Let x = -0.07 - q. What is x rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 30, -1370, -3, -11 in decreasing order.\nAnswer: 30, 0, -3, -11, -1370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14191, -56811, -127845, -227293, -355155, -511431, -696121?\n\"Answer: -14207*x**2 + x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 4*k - 85, 348*u - 348*u - k + 44 = 22 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 44*j**3\/15 - 718*j**2\/5 + 1778*j\/3 - 1304\/5 = 0. What is j?\nAnswer: 1\/2, 4, 489\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4639?\nAnswer: 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2767 = -7*h - 1902. Let i = h - -3973\/6. Let p = 863\/185 + 5\/37. Find the common denominator of p and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20316.6236 + 0.0274\nAnswer: 20316.651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((45\/3)\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -28. Suppose 3*t = -t + 84. Suppose x = 5*r - t. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from jrjaa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -12722*n**3 - 13*n**2 - 33*n + 170. Let l be o(15). What is l rounded to the nearest one million?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/5 - (-144)\/90. Let p(s) = 10*s**2 + 4*s - 5. What is the tens digit of p(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 5*x + 3, 48*b - 40 = 53*b + 3*x for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2585)\/132 - (-2)\/6 and -35\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltlo when four letters picked without replacement from {s: 1, x: 2, t: 2, l: 2, v: 4, o: 3}?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28.5 - -27. Let z = r - -0.7. Let c = z + 0.80076. Round c to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k. Let n be i(-1). Let d(z) = z**3. Let f be d(n). Solve 0 = u + 4*u - 10, -5*u = 2*r - f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -485*k + 24. Is l(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272424 - 272424 - 19565*p**3 + 19564*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/5)\/(j*j*j**(8\/9))*((j**(1\/36)\/j*j)\/j*j)\/j**(3\/5) assuming j is positive.\nAnswer: j**(-587\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5539247?\nAnswer: 7, 791321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*b*n - 19*b*o**2 + 19*b*o - b + 3613*n*o**2 - n*o - n + 261*o**2 wrt n.\nAnswer: 4*b + 3613*o**2 - o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1789.574 - 1785. What is k rounded to 1 dp?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*k + 4*f, 0 = 15*f - 16*f - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 + 1 - 4044*r + 4460*r + 561*r**3 wrt r.\nAnswer: 3366*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5980566*g**3*v**5 - 6*g**3*v + 9*g**2 + 2*g*v + 2*g - 60*v wrt v.\nAnswer: -119611320*g**3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 281547573 to the power of 1\/3, to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 4c?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 5:04 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -t**6\/27 + 88*t**5\/15 + 67*t**4\/3 + 808*t**3\/27 + 15*t**2 - 1635. Solve s(b) = 0.\nAnswer: -1, 0, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*l*q**2*w**2 - 2*l*w**2 - 349*l - 2*q**2*w**2 - 8*q**2*w + w**2 - 12 wrt l?\nAnswer: -2*q**2*w**2 - 2*w**2 - 349","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 256110, 1024501, 2305176, 4098135?\n\"Answer: 256142*p**2 - 35*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*l**3 + 4*l**3 - 4*l**3 - 11*l**3.\nAnswer: -43*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p - 8. Let o be k(-8). Suppose 0*q = -2*f + 2*q + 8, -2*q - o = -4*f. Put f, 3, 1.5 in ascending order.\nAnswer: 1.5, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w + 56921*w**2 - 56900*w**2 - 49 - 3*w.\nAnswer: 21*w**2 - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 3:57 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 123807776?\nAnswer: 123807776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 15, -1, 1 in increasing order.\nAnswer: -2, -1, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2321220322 (base 4) to base 12\nAnswer: 30804a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 728 is divided by 98?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12830 is divided by 279.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.14 - -0.05574?\nAnswer: 3.19574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 = -14*f + 13*f. Let y = -150 + f. Sort -4, y, 4.\nAnswer: -4, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 17. Suppose 28 = z - f*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 - (-8 + 43) - 46?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one half of a millimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 1642093296 a multiple of 489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26292 + -9133. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-8)\/8) - -73. Suppose 0 = -2*f + h - 4. Solve -f*g = -35*g - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdiup. What is prob of sequence ubp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7412817693?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -9*p**3 + p**5 + 4*p**4 - 4*p**2 - p + 12*p**3 - 3*p = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n**2 - 19*n + 27. Let q(d) = 12*d - 14. Determine 3*j(a) + 5*q(a).\nAnswer: -9*a**2 + 3*a + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5066.9829 minutes?\nAnswer: 0.502676875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 8*g**2 - 21698*g - 152619. Give b(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o - 9. Let r(z) be the first derivative of z**2\/2 - z - 2. Let w(y) = p(y) - 4*r(y). Let g(m) = -5*m - 15. Let k(t) = -3*g(t) + 8*w(t). Give k(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 142 + 130 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 364 (b) -4 (c) -3 (d) -1 (e) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = -203\/144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 21*m - 836. Give v(41).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10761.36km to nanometers.\nAnswer: 10761360000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 200.85 + -201. Put 1\/2, o, -0.1 in increasing order.\nAnswer: o, -0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.1 (b) 5 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 0.1, 1, 52746?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/903040 and 99\/1360?\nAnswer: 903040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 1936*w**2 - 29267*w + 51. What is r(15)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 17957.\nAnswer: 5387.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -39 + -1177?\nAnswer: -11b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, 1, -113, 3, 5 in descending order.\nAnswer: 7, 5, 4, 3, 1, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -811 divided by -130?\nAnswer: 811\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 336\/(-70)*11\/11*(-2)\/(-8)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-80)*2 - (-42)\/10. Let z(i) be the second derivative of 0*i**2 + 0*i**4 + 0 - 11\/6*i**3 + 2\/5*i**5 - t*i. Find the second derivative of z(h) wrt h.\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 3*o + 13, -3*o + 414 = 2*f + 407 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**3\/3 - a**2 - 3*a - 6. Let o(n) = 4*n + n**2 - 3 + 4 - 9. Let w be o(-6). Calculate h(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -4. Let r(h) = 7*h**4 - 13*h**3 + 12*h**2 - 8*h + 7. Let k(p) = -3*p**4 + 6*p**3 - 6*p**2 + 4*p - 3. Let i(n) = a*r(n) + 5*k(n). Factor i(j).\nAnswer: -(j - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-293.\nAnswer: 58.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -700.\nAnswer: -700, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 48 = 4*j - 5*z, 2*j - 24 = 2*z. Calculate the remainder when 1454 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.16 - -0.16. Which is the nearest to -2? (a) 5 (b) f (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 4*n + 2. Let o(q) = 2*q**3 + 2*q**2 - 2*q + 2. Let i be o(2). Let f = i - 10. What is the smallest common multiple of n and f?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9238399252 to 3 decimal places.\nAnswer: -0.924","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 0*m**2 + 0*m + 1\/12*m**4 + 8 - 2\/9*m**3 + 1\/15*m**5. Factor w(l).\nAnswer: l**2*(l - 1)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.86, 43, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 7334 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lrtlfrtfl?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 48?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + (-105 + 67 - -21)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21404, 21380, 21368, 21374, 21404, 21464, 21560?\n\"Answer: t**3 - 31*t + 21434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 103739924453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 0.1248.\nAnswer: -0.02496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (9 - -12) - -9) + -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 2*c + 6, -c + 3 = l + l. Suppose l = 5*b + 4 - 19. Find the second derivative of u + 3*u**4 - b*u - 4*u**4 wrt u.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7\/19 + 3\/95. Let u be (2\/30)\/(9\/(-27)). What is the third smallest value in 4, m, 1\/10, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43.3 - -43. Put -0.4, -5, a, -10 in ascending order.\nAnswer: -10, -5, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5*w**3 + 7*w - 3. Let l be 1\/(-3 + 0 - -2). Let s = l + 0. Let c(x) = x - 1. Let y(m) = s*n(m) + 3*c(m). Find the second derivative of y(q) wrt q.\nAnswer: 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14382 is divided by 9641.\nAnswer: 4741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 573 + -522. Calculate the remainder when w is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5819870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 6:01 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-5 - (0 - (-2 - -5))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*m + 3*p, 3*p = 11*m - 12*m - 1. Let v be (26\/507)\/(0 + m\/(-27)). Is -1 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1088 - -2285. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 238*t + 222*t - 500*t - 23 to the form s*t + x and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 15) to base 5\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10195926 and 318786.\nAnswer: 5226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 167270869 to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01683 + -2.98317. Let t = 0.2 + -0.3. Which is the closest to -2\/11? (a) -4 (b) i (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -32, 1, 0.5, 1.358 in increasing order.\nAnswer: -32, 0.5, 1, 1.358, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -493*q**3 + 40 + 48*q + 166*q**3 + 164*q**3 + 165*q**3 + 18*q**2 = 0. What is q?\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13, 15, 73, 173, 327?\n\"Answer: 2*s**3 + 3*s**2 + 5*s - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 1947449.\nAnswer: -1947449.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 51?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6623712 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 503*d**2. Let u(m) = -19*m**2. Give u(w(s)).\nAnswer: -4807171*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (6\/(-3))\/(2\/(-2)). Solve -d = -4*y - 3, -9 = y - l*y - 3*d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/45 - 32*(-12)\/(-640).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 444150 and 21042.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/11 and -77\/855.\nAnswer: 9405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 2. Suppose 8 = -p*i, 2*w + 0*w - 58 = 3*i. Suppose -u - 6 = -1, w = -f - 5*u. Solve f*y - 7 + 1 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -127*i**2. Let a(l) = -2*l. What is a(x(t))?\nAnswer: 254*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*n - 36664 + 5484. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 4*p - 2, -2 + 10 = 4*p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.924*-0.5137.\nAnswer: 6.1253588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1876530 - 0?\nAnswer: -1876530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - 0.2. Let w = 2116 - 6344\/3. What is the biggest value in g, 3\/4, w, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 10 = w - 2*x, -w + 4*x = -11. Suppose 4*m - 87 = w*y + 2*y, -8 = -m + 4*y. Calculate the greatest common divisor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i + 4. Let v be n(1). Let h(c) = 278*c**3 + 4*c**2 - 5*c. Let s be h(v). Suppose p + 3*p = -j + s, -p = -3*j - 551. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*i - 77*i = -28*i + 76 + 264 for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -274814 (base 9) to base 6\nAnswer: -3331534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/9 + (-3)\/(-9). Let q be 27\/60 + 2\/(-4). Which is the biggest value? (a) q (b) n (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -375.23 - -374. Do -1 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 5*w**2 - 4*w - 13. Let t be u(6). What is the closest to 0 in t, 12, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011101101010100010101 (base 2) to base 7.\nAnswer: 35042056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3125, -6249, -9385, -12539, -15717, -18925?\nAnswer: -22169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -3 - (16 - 0) - (2 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -15*o + 65. Let i be 14\/2 - 75\/25. Let x be z(i). Factor 1\/5*b**x + 0*b**3 + 2\/5*b**4 - 1\/5*b - 2\/5*b**2 + 0.\nAnswer: b*(b - 1)*(b + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s*s**(1\/3))\/s)**(-27\/7) assuming s is positive.\nAnswer: s**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 6:22 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -182 - 89 + v - v**3 + 351 to h + a*v**2 + d*v**3 + y*v and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 58*k + 21. Let t(c) = 3*c**2. Determine t(h(w)).\nAnswer: 10092*w**2 + 7308*w + 1323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-f**2 + 2*f**2 + 0*f**3 + 2*f**3 + (2 - 2*f**3 - 2)*(-1 + 2 - 3)).\nAnswer: -12*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c - 5. Let s(g) = -g + 1. Calculate -q(v) - 4*s(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10167*y**2 - 1758*y + 5 wrt y?\nAnswer: -20334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10 - 14 - 16 + 39 + 36*m**3 wrt m.\nAnswer: 108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 861 and 1188139.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292439.\nAnswer: 7, 41777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.06307 to 1 decimal place.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hpphphpp. What is prob of picking 1 p and 2 h?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111022046 by -3.\nAnswer: 111022046\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 11. Determine v(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 8*j - 9. What is r(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6*k - 4. Let a(r) = 2*r**3 + 23*r**2 + 12*r + 8. Let x be a(-11). Give b(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(500) + (sqrt(500) + 0)**2)*-6 + (1*sqrt(35)\/(sqrt(1764)\/sqrt(7)))**2)*4.\nAnswer: 480*sqrt(5) + 216005\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86746 is divided by 2017.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1580.\nAnswer: 1\/395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whwwwwwhzhrhhhwwhwwu. What is prob of picking 3 w and 1 r?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6816 less than 6816?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 45263076 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -71*f**3\/3 - 1471. Let i(l) = -38*l**2. Determine i(q(x)).\nAnswer: -191558*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.4 + -5. Let x(o) = -5*o - 35. Let s be x(-7). What is the closest to -2\/7 in -1, f, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*c - 4. Suppose k + c*o + 14 = 0, -4*o = -2*k - 5*o. Solve k*p = -3*u - 4, -6 = 5*p - 4*u + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 4 = -3*q, 2*r - 6*r - 2*q = -8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-240)\/320)\/((-2)\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4924841 is divided by 30.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -36, 4, 1.62, 61, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 2*u + 7. Let s(x) = -x**3 - 11*x**2 + 12*x. Let z be s(-12). Let y be p(z). Solve 4*m - y = -g + 2*m, 0 = -g + 3*m - 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3315 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2632\/(-203) - 39\/(-3). Are 1\/59 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8274828*z**2 + 3417*z - 528?\nAnswer: 16549656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 17*u**2 - 25*u - 128. Determine b(-16).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 10. Let u be 16\/(-32) + 26\/(-4). Give c(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.159 - -0.051. Let w = b + -0.32. Let g = 1.65 + w. What is g rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 147860*r**3 - r**2 + 16*r - 51?\nAnswer: 887160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -1. Suppose f + 2*f - 18 = b. What is the highest common factor of 24 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8) - (-134)\/(-8). Let r = 21 + x. Solve 10 = 2*i - r*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14157 to the nearest 100.\nAnswer: 14200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 462441.\nAnswer: -2\/462441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 5*g = -3*y + 6, -6 = 3*g for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 7*g - 7. Let f be s(-5). Suppose 0*a + f*a = 96. Solve -5*z - 3*k = a, 33 = -z - 5*k + 9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2261725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 + -88. Let d = c - -114. Let x(g) = g + 6. Let a be x(6). What is the highest common divisor of d and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 (base 8) in base 4?\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -248*t - 194948 + 549092. Calculate the lowest common multiple of t and 28.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, l: 4, f: 3, v: 3}. Give prob of picking 1 l and 1 r.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-14))\/(2 + 949\/(-511)). Factor -12\/5 + 3*s - 3\/5*s**k.\nAnswer: -3*(s - 4)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 10 = -2*z. Suppose -55 = 2*i - 7*i. Let u = z + i. Are u and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9.385 and 1.\nAnswer: 10.385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - 2479?\nAnswer: -246b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*v**5\/5 + 198712*v**4 + 137545504*v**3\/5 + 2618112*v**2 = 0 for v.\nAnswer: -11688, -140, -2\/21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 30706.7939 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000663 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -98 divided by 1\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33676?\nAnswer: 2, 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o + 133*o + 7*o - 150*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 221144, 884636, 1990450, 3538580, 5529020, 7961764, 10836806?\n\"Answer: -y**3 + 221167*y**2 - 2*y - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -261\/2 not equal to -43\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*(-6*sqrt(1539)*2 - (4 + 3 + sqrt(1539)))*4.\nAnswer: -936*sqrt(19) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101100 - -11101?\nAnswer: -11001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 2*j + 8, -3*q + 3*j - j = -13 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 6:44 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 22670*r - 43515*r + 21540*r + 1 as n*r + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j + 1084 = q, j - 4*j = -q + 172. Put j, 3, -5 in increasing order.\nAnswer: j, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6196 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - 3*sqrt(162)*3)\/(-2*3*sqrt(576)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 726281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 0 - q**2 + 2 + 0*q**2 - q. Let b(k) = -4*k + 4. Let c be b(1). Calculate g(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (9 + (1 - 10)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 50*r. Let t(v) be the first derivative of -v**4\/24 + 21*v**2 - 3*v - 49. Let s(g) be the second derivative of t(g). What is s(y(m))?\nAnswer: -50*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21240 - -31?\nAnswer: -21204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.21 (c) 1 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5*a, 2*a = 2*x + 1 - 13. Let k be 9 + -7 + 1 + a. Suppose k*f + 39 = f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-2)*(0 + (-8)\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.21744 millimeters to kilometers.\nAnswer: 0.00003421744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 38 = -4*r + 30, -2*r = -4*s - 14 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1670456831\/1650 - 1012398. Find the common denominator of -19\/1350 and q.\nAnswer: 14850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + -4*(-4 + 2*sqrt(2736) + sqrt(2736)*1*4))**2.\nAnswer: -9458016 + 69120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9)\/((-35)\/(-14)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -32336 + 6063?\nAnswer: -24253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -143*c**2 - 235?\nAnswer: -286*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*x**5 + 293*x**2 - x wrt x?\nAnswer: -1800*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 70*n**3 + 200*n - 170*n**2 + 12 - 55\/4*n**4 + n**5. Solve g(c) = 0 for c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -96 - (28\/(-10))\/(5481\/3915)\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -51\/2 (b) 1.06 (c) 18 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 13*l**2 - 96 + 28*l - 36*l - 9*l**2 = 0.\nAnswer: -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*w + w - 24 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 4, -1, 75 in increasing order.\nAnswer: -1, 1, 4, 5, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (9 + 15) - -45.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-244)\/(-4) - 3) + 1 is divided by -1 - -20 - 5\/(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291871.\nAnswer: 53, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241*s + 239*s = 489*s - 18. Solve 3*v - 13 + 33 = 2*k, s*k + 8 = -4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-312)\/(-21) - (-2)\/14 - (-1 + 10). What is the greatest common divisor of b and 11694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 2\/9 (c) -173\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4*(-3)\/(-6))\/3. Let c be (2 - 3)\/((-1)\/(-5)). What is the third biggest value in c, 4\/7, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9a13 (base 13) to base 3\nAnswer: 1002110112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 196.3 + -207. Let z = a + 10.6909. Round z to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7888 and -6.\nAnswer: 7882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 299 + 47 = 4*n, 4*n = 2*r - 132. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137 - 54. Let c(h) = -72*h**3 - 10 + y*h**3 - 4*h**2 + 15*h**2 - 1 + 17*h. Let g(u) = -2*u**3 - 2*u**2 - 3*u + 2. Give -6*c(v) - 34*g(v).\nAnswer: 2*v**3 + 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -88\/82425 and 74\/8061165.\nAnswer: 40305825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45385577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2. Let n(s) be the first derivative of -2*s - 1. Let v(j) = -j + 1. Let a(i) = n(i) + 2*v(i). What is a(u(k))?\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 3*r - 14 - 10, 4*w + 5 = 5*r. Let c be w\/238*(-9162)\/330. Let m = 540\/119 - c. Calculate the common denominator of m and -15\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*v - 22, m - 4*m = -4*v + 46. Suppose -v*y = -7*y + 9. Let b = -1 - 4. What is the third smallest value in 0.5, y, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 <= 101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/4)\/(-42)*4\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 15*f + 5. Let n be w(0). Suppose -t - 3*h + 35 - 20 = 0, h - 5 = n*t. Solve 3*r = s - r + 3, t = -4*s - 2*r + 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -32. Let v be c\/14 + 4\/(-7). Solve v = -f + m - 1, -2*f - m - 1 = 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) -5 (c) -315 (d) -0.325 (e) -4\/7 (f) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2 - 12*n + 2. Calculate l(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*q - 5 = 69*q - 38*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-44))\/(289\/(-57222))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -2\/393, -40, 0.2.\nAnswer: -40, -5, -2\/393, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u. Let o be (-42)\/(-15) - (-2)\/10. Let c(t) = t - 3*t + 1 + o*t. Let b(w) = -6*w - 7. Let m(f) = 2*b(f) + 14*c(f). Give m(i(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 4*m**2 - 4. Let t(b) = b - 13. Let r be t(10). Determine j(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -501 + 1051. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 7 - 3 = 0. What is the smallest common multiple of 10 and (-44)\/(-12) - f\/(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54515.8933 - 17447?\nAnswer: -71962.8933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 6*d**2 - 3*d - 6. Let m be q(-6). Let a be m\/3 - 0\/3. Solve -a*n + 12 = -0*k - 2*k, 4*n + 4 = -2*k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 7. Let m be w(-7). Let s(a) = -a**3 + 11. Let h be s(m). Let f(k) = -5*k + 2. Let o(b) = 14*b - 6. What is h*f(j) + 4*o(j)?\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -r + 6*r + 8, -r = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130 + 271 - z + 2*z + 732.\nAnswer: z + 873","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h - 2. Let o(g) = -2*g**2. What is r(o(k))?\nAnswer: 12*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 10*q + 2. Let d(l) = 222*l**2 + 2900*l + 8852. Let n(c) = 2*d(c) + 4*i(c). Suppose n(w) = 0. What is w?\nAnswer: -6, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5 = 5*b + 5, 0 = 5*n - 15. Let d = 8 + b. Suppose r = d*r - 5600. Round r to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*z**2 + z**5 - 16*z**2 + 3*z**3 + (z + 0*z + 0*z)*(12553*z**3 - 849*z**4 - 12553*z**3).\nAnswer: -848*z**5 + 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3 + sqrt(1088)*-1*6 + 4)**2.\nAnswer: -288*sqrt(17) + 39177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -412963*y**2 + 462558 wrt y.\nAnswer: -825926*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**6\/60 + 19*z**5\/20 - 3*z**4\/8 + 5*z**3\/6 + 2*z**2 - 5*z. Is y(-27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v - 11*v + 2*v)*(-3 + 2 + 2 + (1 - 4 + 2)*(-3 + 1 + 1)).\nAnswer: -30*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4 - 24. Let q(t) = -2*t**3 + t + 3. Let o(j) = 6*j**3 - 3*j - 8. What is r*o(k) + 11*q(k)?\nAnswer: 2*k**3 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -584, -741, -898, -1055?\n\"Answer: -157*v - 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 76345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-338)\/(-2535)*1\/(4*(-9)\/30).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 0, 6, 1, 0.1, -46.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**4\/12 - 5*g**3\/6 - g**2 - 10*g - 5. Let q(d) = d**2 - 7*d + 3. Let w be q(7). Let i be w\/9 + 8\/3. Determine f(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 204 + 5?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6230 and 1432188.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -22. Which is the second biggest value? (a) -1 (b) 0.5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, -20, -258, -714, -1460, -2568, -4110, -6158?\nAnswer: -8784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 337721953*w**5 - 35*w**2 - 940589*w wrt w.\nAnswer: 20263317180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 z, and 1 c when three letters picked without replacement from {c: 1, o: 1, w: 1, f: 2, z: 3, s: 4}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2595962 divided by -353.\nAnswer: 7354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 11*g**2 - 17*g + 15. Let r(b) = b - 1. Let i(t) = -3*r(t) - x(t). Let q be i(10). What is the units digit of ((-35)\/q)\/(1\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27640467 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*w + 135, 4*r + 7*w - 2*w - 75 = 0. Solve 35*s + 80 = -r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20479718?\nAnswer: 2, 7, 277, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 487223*m**2 - 39*m - 502 wrt m?\nAnswer: 974446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xeetexteeeett. What is prob of picking 2 x?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 20*b - 7\/3*b**3 - 2\/3*b**4 + 0 - 1\/20*b**5 + b**2. Let f be u(-5). Sort 12, f, 1 in decreasing order.\nAnswer: 12, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -141312*o + 141280*o + 480 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)*j*j**(1\/12))\/((j**(-3\/4)\/j)\/j**(-12)) assuming j is positive.\nAnswer: j**(-79\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 0*g + 2*g)*(-1 + 4 - 1) + 3*g - g + 2*g + g + 2*g - 4*g + (g + 0 + 0)*(2 - 4 + 0).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -126*o - 9074. Let c be i(-72). Let q(l) = -2*l**2 - 4*l - 7. Give q(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419627837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4 = -g. Let b(a) = 10*a**2 - 8*a + 6*a - 7*a**2 - a**3. Let k be b(g). Solve k*s = s + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d - 4. Let f be x(4). Let v(s) = -2 - 9*s + 8 + 8*s. Let u be v(f). Let i(b) = b**2 - 2. Calculate i(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12917.5*-23\nAnswer: 297102.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.55 - 3.65. Let o = d + 3.3. Is -0.26 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*l**3 - 26355*l**2 + 35200*l - 11740 = 0. Calculate l.\nAnswer: -587, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3\/10 - 31*t**2\/10 - 1223*t\/5 - 476 = 0.\nAnswer: -35, -2, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 51\/12 - (-1 + 3\/12). Suppose -9 + 57 = 3*c - d, -3*c + v*d = -60. What is the remainder when 67 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373385 is divided by 19651.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 89*d**2 - 211*d - 4957. Determine w(-91).\nAnswer: -2318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*h - 467 + 629. Sort h, 2, -169 in ascending order.\nAnswer: -169, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226288 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 3750775931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48892 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18.24 - -5.66. Let z = k + -24. Let n be ((-33)\/(-27) + -1)*24\/(-16). Which is the second smallest value? (a) z (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3842 divide 111454424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 1.724\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -151798802689?\nAnswer: 151798802689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 6*w**2 + 2422*w - 12091. What is k(5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2663731*n - 955391.\nAnswer: 2663731","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121 - 481\/4. Let x(z) = z**3 + 4*z**2 - 4*z + 2. Let j be x(-5). Which is the closest to 0? (a) 1\/5 (b) j (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9096, 17734, 26410, 35142, 43948?\nAnswer: 52846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*d - 40*d - d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 132184\/493 <= 269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467527 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 142806557659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -141 + 5?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -1800*n - 404893. Determine j(-225).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9357 is divided by (2\/2 + -2)\/((-1435)\/33005).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*k**2 + 33*k + 21211 wrt k?\nAnswer: -16*k + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**3\/15 + 3*v**2\/5 - 8*v\/5 - 71. Factor m(h).\nAnswer: -(h - 4)*(h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 - 40925*l**2 - 81815*l + 122745.\nAnswer: -5*(l - 1)*(l + 3)*(l + 8183)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3390 and 2010?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 14*n**3 + 3*n**2 - 4*n - 1. Let j be y(2). Calculate the greatest common factor of j and 552.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 22*r - 27. Let c be d(17). Let w be 1 + -1 - 184\/4. Let k = w + c. What is the lowest common multiple of 24 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 50697.87 micrograms?\nAnswer: 0.00005069787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -730 = -3*i - 2*v, -5*i + 0*v + 1221 = -v. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 2*u + 8 = 0, 15 = -5*t - 3738*u + 3733*u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 37*x**2 + 101*x - 1391. What is the hundreds digit of l(19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156651790?\nAnswer: 2, 5, 15665179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (15045\/531*-2)\/(2\/3*1)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-12))\/(0 - (-25)\/20). Which is the fourth smallest value? (a) j (b) 1\/2 (c) -4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3502499 to the nearest integer?\nAnswer: 1871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8434.354 centuries in months?\nAnswer: 10121224.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzi when three letters picked without replacement from zpzzzziip?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-12))\/(-4 - -3). Let i = -5 + 2. Sort k, 1\/2, i in descending order.\nAnswer: 1\/2, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 + 3243 = 214*b + 408 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 greater than or equal to -5968?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5038330 and 1793?\nAnswer: 5038330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*g**2 - 28*g**3 + 17*g**3 + 5*g - 4*g + (g**3 + 5*g**2 - 5*g**2)*(-1 + 1 + 1).\nAnswer: -10*g**3 - 2*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 54*n - 112. Let t be c(-56). Let x(m) = 8 - 2 - 2 + m**2 - 2*m. Let o be x(t). Solve 2*a = 2*k - 2*a - 20, 12 = -2*k - o*a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 6*x. Suppose -5*i + 5 = -5*v - x, 2*v - 7 = -i. Suppose 0 = i*f - 0*f + 204. What is f rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 686?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/25)*f**(-10))\/((f\/(f**20*f)*f)\/(f\/f**(-26))) assuming f is positive.\nAnswer: f**(902\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 269487726 to the nearest integer?\nAnswer: 16416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*v = -4*a - 170, -4*v = 29*a - 32*a - 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 18*o - 21. Let n(b) = -2*b. Let r(c) = 2*k(c) + 6*n(c). Let i(g) = -7*g + 12. Let s(a) = -18*i(a) - 5*r(a). What is the derivative of s(v) wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*3*sqrt(756))\/(sqrt(63)*-3 - sqrt(63)\/(sqrt(27)\/sqrt(3))))**2.\nAnswer: 2187\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 1551?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q - 27*q - 40 = 3*u, 3*q + 428 = -26*u for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/9 - (-203)\/3. Calculate the greatest common divisor of j and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 9*a**2 + 55*a + 45. Calculate r(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1282216 + 12287*i**3 + 1282216)*(-3*i + 4*i + i).\nAnswer: 24574*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 4 - 1 - (-24 + 95 + 27) - -14?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93566 and 75086.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 + 42 + 85 + -123.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5969 + 5969.3689. Let v = g - 1.4704. Let d = v + 1.1. What is d rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - f - 2 = 0, 0*h - 4*h = 2*f + 4. Suppose -5*p - 2*i = -33, 9 = p - 2*i + 3*i. Let g(w) = -6 - 7 - w + p + h. Calculate g(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.508 - -8.508. Let y be (-1 + 18\/10)*4\/(-16). Which is the second biggest value? (a) 7 (b) o (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a**2 - 56*a - 283. Let r be x(-5). Sort r, -1, -5 in ascending order.\nAnswer: r, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**4 - 290*k**3 - 4980*k**2 - 22360*k - 27040 = 0. What is k?\nAnswer: -26, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*z, 3*u - 2*u - 4*z = -17. Let v = -13 - u. Is -4 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8609267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 + 12654*k**2 + 50592*k + 50584.\nAnswer: 2*(k + 2)**2*(k + 6323)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -2\/237 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.015 - 0.08. Let b = -86.065 - d. Let m = -85.99999793 - b. What is m rounded to 7 dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 0 - 0 - -7 - (2 - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -857, -940, -1025, -1112, -1201?\nAnswer: -1292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 4*a + 5*a + 3*a - 700 for a.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)*1 - sqrt(81))\/sqrt(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -0.103, -1\/4, -6, -5 in descending order.\nAnswer: -0.103, -1\/4, -5, -6, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -16*g + 221. Let d be n(14). Let z be d\/1*(-43 - -42). Solve -8*m + 10 = -z*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2035*h - 1032*h + 400*h - 232029 = 0 for h.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111000100110111001101 (base 2) in base 16?\nAnswer: -7c4dcd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6434 + 5?\nAnswer: -6428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 2*f. Let c be r(-3). Solve c*z - 5 = -2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2809, -3117, -17775, -41171, -73311?\n\"Answer: -s**3 - 4360*s**2 + 7161*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (4950\/(-14355))\/(9\/(-1305))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*(j\/((j**2\/j)\/j*j))\/j)**1*((j*j**(-1\/2))\/j)**(-38))**(-23))**41 assuming j is positive.\nAnswer: j**(-18860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence geee when four letters picked without replacement from ggeeeeegee.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/16 and 79\/44?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + 3 - -1)\/((-100)\/(-14464100)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174521415.\nAnswer: 3, 5, 37, 314453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -5.5. Let z = u + -0.6. Let o = -6 + 16\/3. What is the nearest to o in z, 0.4, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnnnccnn. What is prob of sequence nnc?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnq when three letters picked without replacement from qnnqqnnnqnnnnnnnqn?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122449 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -220737, -220725, -220713, -220701, -220689, -220677?\n\"Answer: 12*u - 220749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295163 is divided by 98.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -202*d**2 + 445*d wrt d?\nAnswer: -404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, 200, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-8) + (-585)\/(-156). Solve -3*r = -3*b + 10 - 1, 0 = 4*b + t*r + 28 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41162770.39007 - 39286697.3902. Let h = r - 1876090. Let o = -17 - h. What is o rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -10) + (-24 - (-9 - 14 - 7))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95867009 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*g - g - 4, 12 = -i + 4*g. Suppose -i*p = -20, -5*q + 0*p + 60 = 5*p. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*k = -1521564 - 1854102. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c - 2. Let y be k(2). What are the prime factors of (-2)\/(5\/((-10)\/y))*125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 7. Let o(m) = -m**2 + m + 1. Suppose -a + 3*a - 4 = 0. Let w(x) = 2*x**2 - x - 2. Calculate a*o(r) + k*w(r).\nAnswer: 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**2)\/(c*c\/c**(-2\/5)))\/(c**1*c)**(6\/13)*(c\/c**(-2))\/c**(-2\/3)*(c**(-1\/3)\/c*c*c)**(-15) assuming c is positive.\nAnswer: c**(-1298\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/156354 and -71\/1518.\nAnswer: 156354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l + 10 = -15 + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -14.48. Round r to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -130\/7 greater than or equal to -2157\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 3. Suppose y = -q + f + 4 + 7, 5*f + 15 = q. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2. Let i(s) = 20*s + 1 - 10 + 25 + 5*s**2. Let p(n) = -i(n) - 4*m(n). Let h be p(-18). Solve 2*l + h = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 363\/2904*6\/((-1)\/((-2)\/(-2)))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 12:00 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -0.4, 10.\nAnswer: -2, -0.4, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(45)\/(sqrt(324)*-2 - sqrt(324)).\nAnswer: -5 - sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2410942 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/4 and 146\/(-2320) + (-1)\/5.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 915 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 18 (c) -1\/16 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l. Let k(d) = 250826*d**2. Give k(o(m)).\nAnswer: 2257434*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 - 30 = 3*f - 5*p, 2*f + 2*p - 40 = 0. Solve -50 = -14*m + f*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/2659 and 1\/7.\nAnswer: 18613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((2 - 0) + 9 + -7) - 6\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*m)*(6*m - 5*m + 8*m) - 14*m - m**2 + 14*m + (-2*m + 4*m - 4*m)*(m + 2*m - m) + 2*m**2 - 3*m**2 + 3*m**2.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-10)\/6060)\/(-1 + (1194\/585 - 1)) and 39\/8?\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8611 + -437. Calculate the highest common divisor of n and 134.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -840a02 (base 11) to base 9.\nAnswer: -2474322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-33 + 14)*4\/(-6 + 2). Let i = 126 - 69. What is the highest common factor of g and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 56, 198, 482, 956, 1668?\nAnswer: 2666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 731 is divided by 185.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -199, -748, -1657, -2920, -4531, -6484?\n\"Answer: z**3 - 186*z**2 + 2*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.43 - 0.93. What is the third smallest value in y, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 1291092?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/151 (b) 1\/4 (c) 4\/7 (d) 4 (e) -53734\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**1)**44*(i**(-2\/13)*i*i)\/i**3 assuming i is positive.\nAnswer: i**(1129\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(-1220 + 1220 - 7*j**2) + (0*j + 6 + 3*j - 2)*(0 - j + 0) + (5 - 4 - 3)*(0 + 0 - j**2) + 7*j**2 + 0 + 0.\nAnswer: 13*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*t + 109*t = 8, -2*t = x + 17 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, -3, 3, -2.461?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1215 - 423100?\nAnswer: -421441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.128 (b) -2 (c) -2\/15 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.3 - 0.7. Let m = -4 - y. What is the third smallest value in m, 4\/3, 1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/31654392 and -53\/646008.\nAnswer: 31654392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*q**3 + 37089763*q**2 + 504516418 wrt q?\nAnswer: -24*q**2 + 74179526*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40806)\/(-24937) + 698\/44. Let z be (-34)\/(2\/2*-2). Which is bigger: z or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -228 - 162 + 125 + 629*n**2 - 3*n - 628*n**2. What is the hundreds digit of w(-25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397652725 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-40))\/(12\/10). Let m be (29 - (-570)\/(-20))*0. Which is the nearest to m? (a) f (b) -0.1 (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: Find the second derivative of 3060*g**4*i - g**2*i**3 - 106*g - 77*i**3 wrt g.\nAnswer: 36720*g**2*i - 2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*s**2 + 6527932*s - 18858320.\nAnswer: -2*(s - 362660)*(9*s - 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**38\/(l\/(((l\/(((l*l**(2\/3))\/l)\/l))\/l)\/l)*l**(-4)\/l) assuming l is positive.\nAnswer: l**(-104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(208) + (sqrt(1872) - (3 + sqrt(1872)))**2*-4 + -2)*-2.\nAnswer: -8*sqrt(13) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 + m + 0*m**2 - 1 - 6*m**2 + 3*m**2 - 12*m**2 - 2*m**2 + (5*m - 3*m + 0*m)*(-3*m + 0*m + 4*m).\nAnswer: -14*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-186)\/24 + 7)*-72. What is the greatest common divisor of 21 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/5 - 6*x\/5 + 36\/5.\nAnswer: -2*(x - 3)*(x + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 125 - 23. Is (j + (-6)\/(-2))*1 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22453703 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000673247 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 - (3 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 5*z + 14 = 5*o, -o - 4 = -4*z. Let a(m) = 483*m + 17. Is a(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32 or 5\/2?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.140385*-0.2\nAnswer: 0.028077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -97*y + 211. Let x be b(-27). Suppose -2837*c = -x*c - 63. Solve 5*d + 43 = 4*k + 12, 0 = 3*d + c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 101*o**2 - 396*o + 39987. Give g(101).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((152\/57)\/4)\/((-6)\/10).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -1421*s + 13206. Calculate the remainder when z(9) is divided by 184.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1853 less than or equal to 1503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from vvddvvdvdeivvdvdv?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 29185361?\nAnswer: 5\/29185361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 3:24 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 12*a**2. Let u(c) = c**3 - 37*c**2 + 56*c - 81. Let p be u(36). Let h = -638 + p. What is k(h)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (19\/(-5) - -3)\/(10\/(-175)) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -0.5, -5, -4.\nAnswer: -5, -4, -0.5, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**3 + 11910*x**2 + 9456540*x + 2502830920 = 0 for x.\nAnswer: -794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 3*p - 4*u + 22, 21 = -2*p + 5*u. Suppose -2*q = -p*n + 78, -2*n - 3*q - q = -66. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iinnooini. What is prob of picking 3 i and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 + 8*w - 4. Let p be m(7). Let v(j) = 70*j. Let i be v(1). Let f = i + p. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.5 + 3. Let n = r - -0.4. Which is the nearest to n? (a) 3 (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**4 - s**4 - s**4)*(-3 + 4 - 2*s + 0*s) - 31*s**5 + 14288*s**3 - 14288*s**3 + (s**2 - s**2 - s**3)*(0*s**2 - 2*s**2 + s**2) + s**5 - 2*s**2 + 2*s**2.\nAnswer: -31*s**5 + s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6524668 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/2*((-5)\/2)\/(-5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 891, 1765, 2639, 3513?\nAnswer: 4387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15552559 to three decimal places.\nAnswer: 0.156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and -65.7.\nAnswer: -45.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {m: 1, g: 7, o: 2, i: 3, e: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**2. Let j(y) be the first derivative of -3*y**4\/8 - 9*y**2 + 11. Let z(p) be the second derivative of j(p). What is z(n(m))?\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16 - 11 - (-7 - (43 - 17))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-146)\/(-9) - 2\/9. Suppose 4*m - 16 = o. Let f = m - 5. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -372399668 and -4.\nAnswer: -372399672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22953 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 3 - 21\/(-15). Let f = 7 - 0. Let b = -6 + f. Sort b, -1, z.\nAnswer: -1, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**14\/j**6 assuming j is positive.\nAnswer: j**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 2*o + 426. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((5 - 1) + -3 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 58\/3 + 260\/(-195)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2465 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 779376 and 10686.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = p - 4*r + 3*r, -8 = -p + 4*r. Let b be -1*(1 - (p + -4)). Solve 0 = -b*w + 2*f - 15, w = -3*f + 2*f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2137*o**3 - 29*o**2 + 29*o**2 - 34 + 186*o + 1070*o**3 + 1068*o**3 as a*o**2 + p + l*o + k*o**3 and give p.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 321.9476 kilograms in milligrams?\nAnswer: 321947600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 - 56*b**3 - 356*b**2 - 456*b.\nAnswer: 4*b*(b - 19)*(b + 2)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -1\/20*h**5 + 1\/336*h**8 + 1\/70*h**7 - 1\/12*h**4 + 0*h**3 + 0*h + 1\/120*h**6 + 0 + 26*h**2. Determine u so that j(u) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1146*p**2*v**3 - 39388*p**2*v - p*v**2 - 13*p*v - 73*v**4 - 63*v**3 + 7 wrt v?\nAnswer: -6876*p**2 - 1752*v - 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.35 + -3.65. Which is the biggest value? (a) x (b) -2 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 10.98611.\nAnswer: 76.90277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1904 and 16352.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 26*(-4320)\/(-9984)*(-1)\/6*(-8)\/(-14)\nAnswer: -15\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39794 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3188 or 3170?\nAnswer: 3170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*s - 171, 2*q + 167 = -3*q + 4*s. Let d = q - -49. Calculate the remainder when 39 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 126843 = -3*j, x - 15*j + 20*j - 11569 = 0. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*n - 45582 = 0, 4*y = -30*n + 25*n + 45547. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1703, -3408, -5113, -6818, -8523?\n\"Answer: -1705*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 293530 rounded to the nearest one thousand?\nAnswer: 294000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -115 smaller than -113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -2*f + f. Let x = f + 20. Let u = 14 + x. Sort u, 1, -2 in decreasing order.\nAnswer: u, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(3 - 11\/2). Suppose 1585 = -c*m + 10*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*r + 4*r. Let k(u) = 3*u + 3. Let a(b) = -3*b - 9. Let z(g) = -2*a(g) - 3*k(g). Let s(d) = -2*d + 5. Calculate r*s(f) + 4*z(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -r - 3*r + 10, 3*y = -r - 6. Let h be (-15)\/21 - y\/(-7). Let m(b) = -b**3 - 2*b**2 - 2*b - 1. Let u be m(h). Solve -3*g + 7*g - 16 = u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*n = 37, -2 = -2*n + 4*n. Suppose -73500000 = 23*u - c*u. Round u to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7863 divide 1212545367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {f: 1, q: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.619 rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152 + (85 - 4) + 144.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 5. Let c be i(2). Suppose -26 = -4*l + 3*d - 6, 3*l = -c*d + 36. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -615705\nAnswer: 5541345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/26? (a) 3\/5 (b) 26658 (c) 3 (d) -2\/9 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 5)*(26 - 27 + 6*z**2 - 2*z**2).\nAnswer: -20*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f**3*p*s + 235*f**3*s**4 - 2*f**2*p*s - 6*f*p*s**4 + 7*f*p*s + 8*p wrt s.\nAnswer: 2820*f**3*s**2 - 72*f*p*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 60911?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**4 + 704*x**3 + 30996*x**2 + 780705007*x?\nAnswer: 24*x**2 + 4224*x + 61992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 - 2*d)*(3 + 0 - 5) + 18*d - 252 + 252)*(0*d**2 + 0*d**2 + 3*d**3).\nAnswer: 66*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 - -50. Suppose 5*u - 5 = -5*b, -2*b + i*u + 2 = -2*u. Solve 2*r = r - b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7265, 29101, 65507, 116483, 182029?\nAnswer: 262145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 561 + 45 = 4*a, 5*s = 3*a + 363. Let i be 4\/(-6) + a\/(-27). Solve 4*n - 5*d = 3*n + 5, -i*n = 4*d - 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/6*(-14 - 7*172\/112).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 283.44 centuries to months.\nAnswer: 340128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 1830 - 14*i - 826 - 789 - 5*i - 2*i. List the prime factors of j(-3).\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41234256 divided by -6.\nAnswer: -6872376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 102 - 12*h + 13 - 10 - 31*h + 40*h as s*h + g and give g.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -20721921074 and -3.\nAnswer: -20721921077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122467 = -5*d + 3593. What are the prime factors of d?\nAnswer: 2, 3, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 0, 5 in increasing order.\nAnswer: -28, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*p - 12 = -61*p. Suppose -11 = -5*b + p*i, -b + 5*b - i - 11 = 0. Is 313\/b - (-6)\/9 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nehhneuhhenvnuvu. What is prob of picking 2 h?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/21)\/a*a)**(21\/5) assuming a is positive.\nAnswer: a**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4483 - 121019\/27. Let n = 92\/135 - y. Let l = 84.2 - 84. What is the closest to n in -4, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**2 - 15*x + 6. Let w be h(-5). Let o(i) = -15*i + 17. Let j be o(w). Let d = 80 + j. What is the smallest common multiple of 10 and d?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -691 = -5*n + 4*y, -4*n = -2*y + 6*y - 524. Let q(r) = 28*r - 2. Let x be q(2). What is the highest common divisor of x and n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3009.113 litres?\nAnswer: 3009113","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*j*q**5 - 4*j*q**3*s - j*q**2*s - 34*j*q**2 - 6*q**4*s - 2*q*s + q wrt q.\nAnswer: 360*j*q**2 - 24*j*s - 144*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/1405 and -81\/44990?\nAnswer: 12642190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - q + q**2. Let k(w) be the second derivative of 7*w**4\/4 + w**2\/2 + 17042*w. Give p(k(a)).\nAnswer: 441*a**4 + 42*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1200523 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3263543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*i + 8*i - 35, -m = -2*i + 5. Suppose 15 = -0*r + m*r. Suppose -5*j + 1256 = n, r*j - 666 - 86 = n. List the prime factors of j.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**3 - 4*g**2 - g - 1. Determine z(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -174763708 divided by 3004\nAnswer: -58177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -349 - 195a7?\nAnswer: -19901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3529 - -49.8\nAnswer: -3479.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3477 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 13. Let a(s) = -s**2 + 3*s + 4. Let j be a(3). Suppose j*q - 27 = q. Calculate the least common multiple of k and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d - 31. Let g be b(6). Let n(s) = -87*s - 37. Does 26 divide n(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/9*(-151 - 7\/(-1)). Put d, 1, 66 in descending order.\nAnswer: 66, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -171 + 171. Suppose h = 18*k - 15*k - 303. Calculate the remainder when k is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172263479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25332, -25333, -25334, -25335?\nAnswer: -25336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 737 divided by -234\nAnswer: -737\/234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4\/3 (b) -10 (c) -47 (d) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-180)\/(-1540))\/((-3)\/14)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/4 - 125*r**2\/2 - 3968*r - 7688.\nAnswer: -(r + 2)*(r + 124)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 11990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1132.1988 + -1134.8. Let d = -2.74481 - f. Let q = d + 0.143. What is q rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*g - 40*g + 833 + 399 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 115960 and 92768?\nAnswer: 463840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 124, 5\/2, 225.\nAnswer: 5\/2, 124, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - -4*sqrt(130)*3) + sqrt(130))\/sqrt(10).\nAnswer: 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(867\/(-119))*36\/70?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150 and 762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7760 divided by 1552.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-158240)\/1075)\/((-2)\/105) a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405*q**2 + 258*q**2 + 668*q**2 - 34*q**2 + 154*q**2 + q**3.\nAnswer: q**3 + 1451*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*2\/(-8)*6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15085, 15129, 15169, 15205, 15237?\n\"Answer: -2*b**2 + 50*b + 15037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2740 - -1564. Let u = k - -4751\/4. What is the common denominator of u and 0\/2 - 119\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302512788 to the power of 1\/2, to the nearest integer?\nAnswer: 36090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 28 = -3*y. Let i = y + -3. What is the second derivative of 4*l - 7*l + 5*l**3 + i*l wrt l?\nAnswer: 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51159284 divided by 4650844?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1714 at least 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-1))\/((-2)\/(-118)). Let t be (-1)\/((2 + -1)*2\/(-14)) + -5. Suppose q + 4*b - d = 0, 0 = -3*q - 0*b + t*b + 233. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {g: 5, v: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2053, 2062, 2079, 2104, 2137?\n\"Answer: 4*g**2 - 3*g + 2052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -139\/2 - -72. Let c = -5 - -9. Do c and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 3*r + 102, 5*t + 0*r = 2*r + 98. Let i be 8*3\/3*1. Suppose -i*n - t = -11*n. Solve -2*u - 12 = -n*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3963448 and 184824.\nAnswer: 35671032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1665, -2789, -3367, -3399?\nAnswer: -2885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -11.2. Let j = l - -15.648. Round j to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*f - 62652, 126*f = 122*f. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 157002749 and -0.3.\nAnswer: -47100824.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 12 = z. What is the derivative of -4 + 0*o**2 + o**2 + 1 - z*o**2 wrt o?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 244866 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 508, -4, -4\/9 in increasing order.\nAnswer: -4, -4\/9, 1, 508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 19*v - 264. Let o be z(15). What is the greatest common divisor of 231 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 846 divided by -282\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 + (-3295)\/(-4950) + (-4)\/(-10) and (-7)\/(-21) - -4*(-537)\/720.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -14*(-2 - 40\/2). Suppose -u = -3*u - i + 74, 0 = 3*u - 5*i - 137. Let g = u + v. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22\/133 - 54\/133. What is the fourth smallest value in -1\/3, -2\/5, g, 2, -2\/3837?\nAnswer: -2\/3837","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by 4\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1200503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -34345 divided by -2\nAnswer: 34345\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + b + 9 = 0, -2*h + 3*b = 6 - 29. Solve 4 = 5*o - 1, 3*o - 19 = -h*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*(-20)\/(-12760)*4\/1?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62319723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 304079?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 + -21?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/65*13\/2*-6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16260442747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31.45648l?\nAnswer: 31456.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 6438*w - 6453*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 455 + -365. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unuuhuuuhu. Give prob of picking 1 h and 1 n.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (1 + sqrt(243)))**2 - (-3 + -4*sqrt(3) - sqrt(3) - sqrt(3)).\nAnswer: 22*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a week?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (17 - 378\/24)*4. Put 3, h, -69, 0 in increasing order.\nAnswer: -69, 0, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b3c9 - -4?\nAnswer: b3cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 268688, 268621, 268500, 268319, 268072?\nAnswer: 267753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44594813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khhccykyhhc. What is prob of picking 2 c?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 3*u**2 - 1. Let r be q(-2). Let l be (1\/3)\/(r\/27). Let x = 2 + -5. Which is the nearest to -2? (a) 1\/9 (b) l (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 + (-44 - -49) + -9 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -7. Let k = -8 - b. Let t = -59\/2 + 535\/18. Is t equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 10*t + 4. Let m be 1\/(9\/(-66))*3. Let b be 4\/22 + 202\/m. List the prime factors of j(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 518105.449 rounded to the nearest one hundred?\nAnswer: 518100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5792 or -1?\nAnswer: -5792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -101021 (base 4) to base 12\nAnswer: -775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-13)\/(-7) + -2). Suppose 4*c - 3*q - g = 0, -2*q - 6 = -4*c + c. Let x(o) = o**3 + 4*o**2 + 2*o - 1. Let p be x(-2). Is c >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 174 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t. Let d be r(-2). Let c(v) be the second derivative of v**5\/20 + v**3 - 3*v**2 + v. Let k(a) = -a + 1. What is d*k(p) + c(p)?\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((2 - 7) + -9)\/(1\/(-24)). Calculate the highest common factor of y and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*j*t**2 - 4*j*t - 2*j - 5*t**5 + t - 4 wrt t.\nAnswer: 28*j - 100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*u - 14, -4*l - 12 = -u + l. Solve -u*w + 4 = -0*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d = -65*d + 1033 - 1159 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11003467\/2 or 5501734?\nAnswer: 5501734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-3)*(-66)\/(-231))\/(8\/(-4)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -238*k**2 + 236. Let v(l) = 119*l**2 - 118. Let i(b) = 6*t(b) + 13*v(b). Find the first derivative of i(f) wrt f.\nAnswer: 238*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4060*p**2 - 1217*p**2 - 1366*p**2 - 1314*p**2.\nAnswer: 163*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7641, 12452, 20471, 31698, 46133, 63776?\nAnswer: 84627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.3 and -1938.3.\nAnswer: -1933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -135, -1\/547, -2, -1\/2 in descending order.\nAnswer: -1\/547, -1\/2, -2, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2084303*j**3 + 1042199*j**3 + 1042250*j**3.\nAnswer: 146*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = 5*f - 5*s, s + 368 = -2*f + 351 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d**2 - 153*d - 4*d**2 - 10*d + 9*d**2 in the form t + v*d + m*d**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110652?\nAnswer: 2, 3, 9221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -913, -1818, -2721, -3622, -4521, -5418, -6313?\n\"Answer: p**2 - 908*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 63\/7001461 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 358 divide 613219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 724 - ((-154)\/(-30) - 4\/30). Are 719 and s non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 44*(-2 - (-45)\/20). Let q be (2\/4)\/(1\/2). Let l be 12\/90*q*5. What is the smallest value in l, t, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 8866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**2 + 6*x + 54. Let v(g) = 4*g + 10. Let l be v(-4). Determine a(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-10))\/(((-324)\/12)\/9).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -90 in 0, -5, 26, 8, 3, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 9:35 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/(-56) + 6\/4. Let x be 22\/(-143) - (i - 15\/13). Factor -1\/12*h**3 + 1\/4*h + x*h**2 - 1\/6.\nAnswer: -(h - 1)**2*(h + 2)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 5:22 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(4\/1) + -3 + -20. Suppose -44 = 5*l + 81. Let z = b - l. Solve -s + 3 = 3*v - 4*v, 0 = -z*v - 9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*2*(-20)\/(-15). Let u be (0 - -2)\/((-2)\/(-5)). Suppose -u*r + 13 = 3. Solve 0 = -6*x + a*x - r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (u + 3*u - 2*u)*(-u + u - 2*u) - 6 + 6 - 3*u**2 + 6*u - 6*u + 2*u**2 + (2 + 2*u - 2)*(-6*u + 2*u + 3*u) as d + n*u**2 + x*u and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 7:35 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-2) - 0\/3. Suppose -l*m + 142 = 28. Suppose -5*o - 15 = 0, -o + m = 2*x + 2*o. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 2:50 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (10*10\/150)\/6?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*q + 18*q - 12*q**3 + (0*q + 0*q - 2*q)*(-24 + 87*q**2 + 24) to o*q + l + y*q**3 + t*q**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -325 - -370. What is the remainder when 171 is divided by v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 10. What is the closest to -2 in -0.2, 1\/4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 3. Let q be (20\/(-6))\/(3 - (-42)\/(-18)). Let p be (q\/60)\/(6\/16). What is the nearest to 4 in x, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33806, 135103, 303892, 540173, 843946?\n\"Answer: 33746*x**2 + 59*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/21 - (-10263)\/35700. Let w = 2493387\/1700 + -1471. Let s = w + p. What is the common denominator of -145\/12 and s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2637831790 - 2637831790 - 13*y**2.\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78 + 118. Suppose 3*h + 56 = 4*d, 0*h + h - n = -4*d. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -77*v**3 + 120*v**2 + 3*v - 3. Let f(g) = -154*g**3 + 259*g**2 + 7*g - 7. What is -3*f(c) + 7*n(c)?\nAnswer: -77*c**3 + 63*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/3 - 2729176*x\/3 + 19104134\/3.\nAnswer: 2*(x - 1364581)*(x - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1160*w - 1203*w + 5*b = 37, -97 = 4*w + 3*b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22 + (2 + -1 - -1). Suppose 3*q + 5*q = -t. What is the units digit of 96\/28 + q\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + x = -22*l + 2198, -2*l - 6*x = -896. What is the remainder when l is divided by 113?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**13*j*j*j)\/j)\/j**(3\/11))**6 assuming j is positive.\nAnswer: j**(972\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13290507?\nAnswer: 3, 137, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - 15. Let c = x + 31. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**3*x**3 - 593*f**3*y + 2*f*x**3*y - 5*f*x**3 + 5*f - 2*x**3*y wrt f.\nAnswer: -6*f*x**3 - 3558*f*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -76975.91 rounded to the nearest 1000?\nAnswer: -77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -19586452 and -0.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 19*a + 138. Let b be p(24). Calculate the greatest common factor of b and 186.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/40568310 and 101\/24340986.\nAnswer: 121704930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 174821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 242831 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 8*a - 21. Let t be x(7). Suppose -t = -6*p + 13. Determine n so that -p*n + 6*n + 7*n - 4*n**2 - n = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6159, 12501, 19021, 25713, 32571, 39589, 46761?\n\"Answer: -w**3 + 95*w**2 + 6064*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, v: 5}. What is prob of sequence lvvl?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0923 less than 7?\nAnswer: 6.9077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -635.5194 + 0.3194. Let y = 810 + p. Round y to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvbp when four letters picked without replacement from {v: 1, p: 1, b: 1, y: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**5 + 8*h**4 - 8*h**4 - 10*h + 6*h**5 wrt h?\nAnswer: 100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v + 1 - 1 - 1 - 33*v - 2*v + 11*v + (2*v - 2*v - 2*v)*(-3 + 2 + 0) + 0*v + 5*v - 3*v to p*v + s and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -203 + 193. Let q(l) = l + 19. Let f be q(j). Calculate the greatest common divisor of f and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 1. Let x(l) = -l - 10. Let d be x(-12). Let o be n(d). Suppose 109 = o*k + 4. 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 9, what is -38 + -3418?\nAnswer: -3457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 117 and 28570165?\nAnswer: 257131485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*y - 5*y. Let d(i) = i**2 - 1. Let j be d(y). Solve -2*w + m = -j, -3*m = -0*w - 2*w + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*r - 566, 3*y = -3*r - 2*r + 1433. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.4 and 5704 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j + 5. Let i = 357 - 354. Suppose -25 = -2*h - 2*h - i*n, 60 = 5*h - 2*n. What is z(h)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 177 - 167.3. Let r = 10 - y. Let m = 6470 - 6469. Which is the biggest value? (a) m (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 847 and 61663?\nAnswer: 52228561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/280 and -1\/51720?\nAnswer: 362040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3053.0001458 - 3053. Round i to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21368*t**5 - 24*t**4 - t**3 + 2*t**2 - 91313*t + 6 wrt t?\nAnswer: 1282080*t**2 - 576*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 9*n - 4. Let g be q(7). Let t be -2*4\/8 + g. Calculate the greatest common factor of t and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 8:25 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/2)\/(5383\/(-3845)).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/8 and -39\/7076032.\nAnswer: 7076032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {v: 3, a: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 + 6*x + 4. Let o = -9 + 15. Let t be q(o). Let g = t - -45. Solve 5*k = -3*h - 34, -4*h + g = -6*k + k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from gqqggiggi.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -12. Let z = 42 - 28. Suppose -z*s = -15*s. What is the closest to s in 1\/5, -2, q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*x**2 - 19*x**2 - 26*x**2 - 24 + 67*x**2 to the form b*x**2 + a*x + q and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5334486168 to the nearest integer?\nAnswer: 73038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37 in 0.2, 0.115, 0, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 - 6 + 1)*(h + 2*h - 2*h) + 5*h - 6*h + 5*h)*(-3*h**2 + 2 - 2)*(4 - 2 - 4)*(-2*h - 3*h + 3*h) + (h - 3*h + 3*h)*(-2*h**3 + h**3 - 2*h**3).\nAnswer: 81*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 + -6)*1*-1. Let z be (7\/2)\/((-2)\/8). Let d = c - z. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, -0.1, 1, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwnwwsswswsssnwms. Give prob of picking 2 w.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((6 + 0 + 26)*(5*r - 3*r - r) - 95 + 6*r + 95)*(2*r**2 - 2*r**2 - r**2) to h*r**2 + x*r**3 + u*r + q and give x.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**5 + 2904*p**4 - 1132328*p**3 + 56755776*p**2 - 763935872*p.\nAnswer: -2*p*(p - 698)**2*(p - 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 13. Let d(b) = -6*b + 4. Let o be d(4). Let g be -1 - (o + (-1)\/(-1)). Calculate the highest common divisor of a and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -356 divided by 6?\nAnswer: -178\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4230502?\nAnswer: 2, 19, 163, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4394.755 tonnes in grams?\nAnswer: 4394755000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * 100.67\nAnswer: -9.0603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22359333 to the power of 1\/2, to the nearest integer?\nAnswer: 4729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**2 + 12*o - 8 + 3*o**2 - o**2 + 2*o**2. Let f be j(-13). Suppose f*m - 379 = -w - 2*w, w + 2*m = 127. What are the prime factors of w?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + -4 + (sqrt(95) + sqrt(95)*1)\/sqrt(5).\nAnswer: -4 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 744975\/9675 + (-193 - 2)\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a tonne in kilograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 88548.\nAnswer: -442740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**29\/i)\/i*i\/(i*i**(-3\/16)) assuming i is positive.\nAnswer: i**(435\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.313 and -193269.\nAnswer: -193270.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (120\/540)\/(6\/27)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16820 and 587540.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*a - 125*a = 15. Let y be a - 3 - (-3 + -499 - -4). Calculate the highest common divisor of y and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(110\/264*(-6)\/50)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -23, -69151, -5 in descending order.\nAnswer: -1, -4, -5, -23, -69151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -b**2\/2 + 4*b - 4. Suppose 0*r - 3*r = -12. Let p be c(r). What is the third biggest value in -4, 1, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255*p**2 + 497*p**2 - 243*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + t**2 + 19*t - 2. Let m be x(-4). What is the remainder when 166 is divided by (0 + -1 + m)*24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -16145*y - 96675. Determine j(-6).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22821, 32178, 41537, 50898, 60261, 69626?\n\"Answer: f**2 + 9354*f + 13466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 169 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, m: 1, i: 9, x: 1}. Give prob of picking 2 e and 1 i.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -68.8995 * 4\nAnswer: -275.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (34\/(-3))\/(-1) - 4\/(-6). Find the third derivative of -12*a**6 + 39*a**6 - 2*a**2 - b*a**6 wrt a.\nAnswer: 1800*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 681\/10 + -223\/5. What is the common denominator of y and (-5)\/2*(-14)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 1 - 976*x**2 + 1950*x**2 - 973*x**2. Let p(z) = 3*z**2 + 3. Suppose 4*y = 4*j - 9*j - 13, 5*j - 5 = 5*y. Give j*p(o) + 5*h(o).\nAnswer: 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26878576093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t**2 + 17*t + 20. Let w be y(-11). Suppose -x - 680 = -4*q, -4*q + 3*x + w = -2*x. What is the remainder when q is divided by 44?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*t, -9 + 8 = 4*x + 5*t. Sort x, 3, 18.\nAnswer: x, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112 - 7\/(7\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i. Let n(j) = -192 - 2*j**2 + 192. What is n(l(r))?\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 162?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -169 - -722. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 16*s**2 + 29. Determine j(-16).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 c, and 1 t when three letters picked without replacement from {t: 2, m: 1, h: 1, c: 1, b: 1, j: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*d**2 + 5*d - 3*d + 4*d**2 to f*d**2 + t*d + x and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1838*m + 10820 = 4543*m. Factor 25\/3*k**m - 23\/3*k + 29\/3*k**3 + 2*k**5 - k**2 - 10\/3.\nAnswer: (k + 1)**3*(k + 2)*(6*k - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-428)\/(-4815)*3\/2\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*5 - (-721)\/(-49))\/7?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26318.10272 to the nearest integer.\nAnswer: -26318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 108853 and -76.\nAnswer: 108777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18\/16495 or 1?\nAnswer: 18\/16495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**5\/20 - 5*t**4\/12 - t**3\/2 - 2*t**2 - 2*t. Let j be r(-4). What are the prime factors of j\/(-4)*1\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3703572647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26166163065424.1900121 - 26166167631691. Let o = x + 4566263.9. Let v = o + 2.91. Round v to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11474 is divided by 5710?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**28)\/(q*q**8) assuming q is positive.\nAnswer: q**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74 or -1410\/19?\nAnswer: -1410\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 3*h - 106, 7*k + 2*h + 3*h - 16*h = -7*h - 164 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 7*h - 1. Determine v(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*o - 4627, -q + 23187 = 4*q + o. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 2*u - 2, -4*z - 5*u + 15 = -5*z. Suppose -8*k = -z*k. Suppose k*p + 3*p - 9 = 0. Solve -9 = -p*j - 0*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7884654 is divided by 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520071641?\nAnswer: 520071641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(25\/2)*-10)\/2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-8)*1 - 0. Let t = -6.7 - -2.7. Let c = 29 - 28. Put c, g, t in decreasing order.\nAnswer: c, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4247*v - v**2 + 4152*v - v**2 as a*v**2 + s*v + w and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5312 and 120920?\nAnswer: 80290880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 3 - 2)*(-z + 3*z - z) - z - 2*z + 2*z in the form y + u*z and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-10)*(3060\/(-243))\/17?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51423924 to the nearest integer?\nAnswer: 7171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/3)\/(1\/267). Let g be (z\/66)\/((-50)\/(-15)). Let r = g - -1\/220. Which is the nearest to 0.2? (a) r (b) 1\/2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5 + (6*sqrt(540) + sqrt(15))\/sqrt(5))**2*1.\nAnswer: -74*sqrt(3) + 4108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3793.\nAnswer: 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 608 = -3*h + 639, -4*h - 2*d = -44 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18632 and 442?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 638352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1602185 at least -1602188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2176\/25 or -86?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*9*(-11 + (138\/12 - 1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 7*m**5\/60 - m**4\/6 - 2*m**3\/3 - 10*m**2. Let b(u) = -6*u**2 + 3*u + 3. Give 4*b(s) + 3*c(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -142 + 146. Suppose -8*r = b*r - 1320. What are the prime factors of r?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.74618 millimeters in meters?\nAnswer: 0.03774618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7 >= -4345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2917918 divided by -12742\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and (13 + 2)*((-9)\/(-5) - -3).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20062 = -415*o + 3178 for o.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 2*r = -r - 36, 3*q - 35*r + 40*r = -42 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*j - 30*j - m + 18, 0 = -4*j + 4*m - 12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -1 (c) -4 (d) -1\/11 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31242 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*q - 88. Let s(b) = 2*b**3 - 45*b**2 + 24*b - 11. Let a be s(22). Let t = a - q. Find the common denominator of t and -74\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 45*x - 141. Calculate b(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, p: 1, l: 10, d: 1, c: 1}. What is prob of sequence llp?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 798629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 10:21 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/13342320 and 83\/4970?\nAnswer: 93396240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*w**2 - 5359368*w - 2143744.\nAnswer: -4*(w + 267968)*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1193*p = -612*p - 600*p + 323 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/((-1)\/(18\/4)). Does 19 divide (-234)\/(-4) + o\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 148\/20 - 4\/10. Suppose d + 18 = -5*x. Which is the second smallest value? (a) 3\/2 (b) 4\/9 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 - 3*t**3 + (3*t**2 - 4*t**2 + 4*t**2)*(t - t - t) - 3*t + 3*t - t**3.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82602698.\nAnswer: 2, 41301349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1250 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (59 - (7 - 3)) + 1. What is the remainder when 48 is divided by -1 + -2 + m\/2?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75731 - 329435 = -2728*k for k.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/6 (b) -4\/7 (c) 264 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(150) - sqrt(150)*1))\/(3*sqrt(125) + sqrt(5)))\/((sqrt(120)*-2)\/sqrt(3)*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1605167436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 5) in base 11?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 j when four letters picked without replacement from {j: 2, n: 4, r: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/387 (b) -0.1 (c) -4.3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -120 + 124. Find the first derivative of -7*h - b*h - 9 + 9*h + 43*h wrt h.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 61155 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 8*r**2 - 10*r - 6. What is the remainder when 111 is divided by u(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -d - 2*t - 3*t, d + 4*t = 7. Let b = -3 + 2. Is d at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 - 837*o**2 - 1677*o - 839.\nAnswer: (o - 839)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + z + 7320 = -5584, -z - 4 = 0. Suppose 3*s = -9*s + a. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*y**3 + (0*y**2 + 0*y**2 - y**3)*(2 + 3 - 3) + 3*y**3 + 0*y**3 - 7*y**3 + (-y**3 + y**2 - y**2)*(7 - 2 - 3).\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p**2 + p - 1. What are the prime factors of h(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (153\/36)\/(12\/36*(-21)\/28).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + k - 2, 3*k + 2 = -29*t + 31*t. What is the lowest common multiple of t and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -0*q + 14. Suppose -58 = -5*t + q. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/(-30)*(-32)\/20?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1))**1*(s**(2\/5)*s*s)**(16\/7))**(-23) assuming s is positive.\nAnswer: s**(-6026\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1209 is divided by 210.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -1 - 1\/9*l - 10\/27*l**3 - 5\/18*l**2 - 5\/18*l**4 - 1\/9*l**5 - 1\/54*l**6. Find a such that u(a) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -29, -42, -3 in ascending order.\nAnswer: -42, -29, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 6*t - 3. Let o be f(7). Let h(z) = z**3 + 5*z**2 - 6*z + 2. Let n be h(-6). Solve 13 = -4*s + 5, -o*r - 16 = n*s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51105878297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15330 and 3504?\nAnswer: 122640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2163*r + 17797 + 27226 + 55290 = 815 for r.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 6:20 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1162200 to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4583 - -0.2?\nAnswer: -4582.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-20) + -1 + 0. Let u = r + 3\/5. Find the common denominator of -4 - 3*(-4)\/(-3) and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -0.1 (b) 23 (c) 2403\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -17 times 2.07\nAnswer: -35.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27\/70 + -3\/70. Let o be ((-1)\/2 + 1)\/((-3)\/6). Let z be o - (-1 + 2)*-1. Which is the closest to 1? (a) g (b) -0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -0*h + 4. Solve 4*c - h = 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, 135388, 20 in decreasing order.\nAnswer: 135388, 77, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 12 - 16 + 3*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-8) + (-4)\/(-16). Let w be (1 - 2)*j\/6. Let n be (-40)\/(-78) - 2\/3. Which is the smallest value? (a) w (b) n (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15929982319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14417, 28836, 43269, 57722, 72201?\nAnswer: 86712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21305 - 2?\nAnswer: 21303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 w when three letters picked without replacement from {l: 1, w: 7}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46082867*p*r**3 - 1287*p*r**2 - 61*p*r + 2*r**2 - r - 11 wrt r.\nAnswer: 276497202*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 2*b. Let k = -6 - -4. Let g(w) = -8*w - w**2 - 2*w**2 - 2*w**2. Let y(h) = k*g(h) + 9*d(h). What is the second derivative of y(n) wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 - 766.9092\nAnswer: -766.3092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/11 - 296*k\/11 + 10952\/11.\nAnswer: 2*(k - 74)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*w**2 + 63*w**2 + 17*w**2)*(3*w + w - 2*w).\nAnswer: 284*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**5\/60 + 5*s**4\/12 - 35*s**3\/3 + 51*s**2. Let d be g(-14). Is -14 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**2. Let g(k) = -42*k + 9*k - 1 - 4 - 57*k. Determine g(c(z)).\nAnswer: -270*z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*s + 4 + 18*s - 20*s - 3*s + 35*s + 27*s.\nAnswer: 147*s + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j + 42. Calculate the remainder when 41 is divided by n(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -53 - 2 + 17*f + 3*f**2 + 4 - 7. Let r be d(7). Suppose 2*g = 4*u + 2 - 62, 5*u - 4*g = 72. Calculate the highest common factor of u and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w + 4. Let p = 19 - 29. Let m be (p\/4 + 2)*-8. What is the tens digit of t(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 7:12 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 426 + 92 = -74*g. Put 1, g, -10, 5 in increasing order.\nAnswer: -10, g, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fl when two letters picked without replacement from {t: 1, m: 1, l: 1, f: 1, x: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 41*o + 114. Determine m(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -10*t + 35 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12520962 and 496.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*w + 287*w + 9 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**4\/9 + 22205056*s**3\/9 + 61632952969994*s**2\/9 - 205443798308668*s\/3 + 109570088925728 = 0.\nAnswer: -5551269, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1376, 1338, 1300?\n\"Answer: -38*x + 1414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -2827?\nAnswer: 2832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2741000 rounded to the nearest 10000?\nAnswer: -2740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 2:08 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 - 1656*j**2 - 34383*j + 36036.\nAnswer: 3*(j - 572)*(j - 1)*(j + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 11*z**2 - z + 12. Give u(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 668189.5ug?\nAnswer: 0.6681895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 3*m - 6*m. Let w(i) = -13*i - 9. Let g(k) = 3*k + 2. Let j(h) = -9*g(h) - 2*w(h). Determine t(j(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + f**2 + f. Let p(b) be the second derivative of 3*b**5\/5 + 7*b**4\/6 + 13*b**3\/6 - 12*b. Let a(u) = 2*p(u) - 22*r(u). What is i in a(i) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(432) + -1 + sqrt(432)) + (sqrt(432) + 1 - sqrt(432))*3 - (sqrt(432) + -1 + -5)*5)**2.\nAnswer: -744*sqrt(3) + 1393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*n - 14*n + 41*n - 2 + 54*n - 26*n.\nAnswer: 95*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4\/9, -65, 1, -109?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 35\/10 - 6\/(-4). Put 1, n, 4 in descending order.\nAnswer: n, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 10*i**2 - 142*i + 3011. Does 44 divide k(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in six fifths of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 939500 is divided by 1853?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - h - 1. Let o(w) be the first derivative of -4*w + 49 - 2*w**2 + 4\/3*w**3. Calculate -3*l(s) + o(s).\nAnswer: s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = n - 2*p - 3, -35 = 5*n + 5*p. Let t be (4 + -4)*(n - -3). Suppose 0 = 9*z - 2*z - 21. Solve -3*d = -t*d - z for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -359*y + 162 = -341*y. Let n(t) = 1 + 4 - 12 - 7*t - 2. Let d(u) = 3*u + 4. Give y*d(f) + 4*n(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*i + 9 = 74*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 0\/(20\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 157 = -4*z + q, -63 = -z + 3*q. Suppose -3*o - z + 240 = 0. Let j = 12 - -5. Calculate the remainder when o is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - 4*y + 1 + 5, -y = -5*l + 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -86*t**2 - 1100*t + 11161079?\nAnswer: -172*t - 1100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 126809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 - 4.97. Let m = 0.3 + -0.29. Let a = -0.03768 + 0.23768. Put m, w, a in increasing order.\nAnswer: w, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40903727*x**2 + 29999138 with respect to x.\nAnswer: -81807454*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/3*422800\/(-28). Round p to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -1)*(11 - 14). Let j be 5 - (-3 - a\/(-1)) - -4. Let t be ((-3)\/9)\/(4\/(-36)). Is t < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**6*p**2 + 15310*m**4*p**2 + m**2*p - m**2 + 37*m*p**2 - 4*m*p wrt m?\nAnswer: 240*m**3*p**2 + 367440*m*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -b - 2110845, 0 = 4*p - 3*p + b - 422169. Let r be p\/54 - (-8)\/(-36). Let a = r + -7822. What is the common denominator of a and -113\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-13) + -3*(-67)\/39?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 130576\/(-420) + 2\/(-10). Let u = b - -311. Which is smaller: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -908*b**3 - 24*b**2 + 36*b + 712. Let d(g) = 2*g**2 - 3*g - 1. Let q(c) = 12*d(c) + r(c). Find the first derivative of q(n) wrt n.\nAnswer: -2724*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(608))\/(sqrt(200) + (sqrt(200) + (sqrt(200)*-4 - sqrt(200)) - sqrt(200)))*-3.\nAnswer: -6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 * -4.52.\nAnswer: 67.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3 + 1) + 2. Suppose b + 2 = -2, -4*d - r*b + 104 = 0. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 1125 = -10*t. Suppose 0*y - 5*y = -t. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -29, -100, -241, -476, -829, -1324?\nAnswer: -1985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -5 + (-3 - -14) + -11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/8)\/r)\/(r\/(r\/(r*r**(-14)*r*r))))\/(r**(3\/2))**1 assuming r is positive.\nAnswer: r**(69\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27040019 * -0.1.\nAnswer: -2704001.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 8:32 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*8\/192*(-42)\/4. Sort m, -2\/21, 0.5 in decreasing order.\nAnswer: m, 0.5, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51446925?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5538 and 1.\nAnswer: 5538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*j + 4 + (j + 8*j - j)*(-4 + 1 + 2) + 0 + 7*j + 0)*(6*j**3 - 11 + 11 + (0*j + 2*j - j)*(5*j**2 - j**2 - 5*j**2) - 2*j**3 + 4*j**3 + 0*j**3).\nAnswer: -21*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1478\/137 at least as big as 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1544961780 by -3.\nAnswer: -514987260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*v + 61*v + 72 = 0. Calculate the least common multiple of v and 33.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -20*c**3 + 28825*c**2 + 3009235*c - 754110 = 0.\nAnswer: -98, 1\/4, 1539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-132)\/297*-3)\/((-3)\/(18\/14))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -2. Let u(v) = v**2 - 3*v - 6. Let d(n) = -n**2 + 2*n + 6. Let o(p) = h*u(p) + 3*d(p). Determine o(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*g**4 + 215*g**3 - 135*g**2 - 180*g - 20 = 0. Calculate g.\nAnswer: -2, -2\/3, -1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzuzuuuzzuuuzuudd. Give prob of picking 1 d and 2 z.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1649645 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-27)\/(-72) - (95018\/(-16) + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195737678861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3983 and -0.43.\nAnswer: -1712.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 1 - 5*y**2 + 12*y**2 + 3*y**2 + 5*y**2. Let m be d(-1). Differentiate 13 - 5*h - m + 10*h wrt h.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 828434 = w, -139*w = -4*j - 140*w + 828422. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.8 + -0.42. Let i = b + 0.22. Let c = i + 8. Is c at most as big as 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/3 - 3136\/(-21) is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41850*h**3*x**2 + 2*h**2*x**2 + 5*h**2*x + 2*h**2 - 234*h wrt h.\nAnswer: 251100*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5093 = u + w, -u - 5*w + 8*w + 5105 = 0. Is 182 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 17 - 2*o + 6*o**2 - o**4 + 2*o**2 + 18 to the form c*o**3 + u*o**2 + r*o**4 + s*o + d and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -2*b + 9, 0 = -3*z - b + 1 - 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 less than or equal to 122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -60 and 12.17386.\nAnswer: -730.4316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = i - 22, 2*i + 2*l = -15 + 63. Let n = -22 + 20. Sort n, 4, i.\nAnswer: n, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 889200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-30)\/9 + 3)*-12. Suppose -o*k + 9 = -k. Solve 2*y + k*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g - 5. Let l(x) = -8*x + 9. Let b(j) = 2*l(j) + 5*v(j). Calculate b(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1506\/520 + 96\/624 + 12\/(-15)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-12 - (3 + -4 + -9)) + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56322881423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -464 + 32017\/69. Let q be 3\/12*20\/(-5). Is q > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 83 - 84. Let a be (3 + (-14)\/4)\/(t\/6). Solve -3*d - a = -6*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 14*u**2 - 2691*u - 33661. Determine v(-15).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2959889 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 22*l + 8 = 20*l, -2*g + 5*l - 16 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 + 9526173*k.\nAnswer: -3*k*(k - 3175391)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 - 17*g**3 - 37*g**2 - 19*g.\nAnswer: g*(g - 19)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -252*j + 3314. Determine v(13).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2628 and 3018258?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64964793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 16*w**2 - 8*w - 12. Let h be q(7). Suppose -6*l = -h + 338. Is 63 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -86538 smaller than -86537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 + 186*a**2 - 30 + 2*a**2 - 4*a**2 + a**2 + 4*a**2 + 2*a**2 - 5*a**2 + (a + a - a)*(-3*a - a + 6*a) in the form l*a**2 + z + t*a and give l.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -53*g**2 - 28*g**2 + 2*g - 2*g + 82*g**2. Let a(b) = -4*b - 110. Calculate q(a(i)).\nAnswer: 16*i**2 + 880*i + 12100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4*t - 1 + 6*t + 54*t + 60399 - 60399 + (t + 0 + 0)*(-14 - 27 + 16) to the form w*t + r and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 32\/(-1*4). Let h be 3 + 4\/((-12)\/z). Suppose h*y - y = -6. Calculate the remainder when 9 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 take away -22?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -793272384*c + 793272384*c - 25*c**2.\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 3*o**2\/2 + 11*o - 16. Differentiate q(y) wrt y.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41781.03 centuries to decades.\nAnswer: 417810.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*b*h*v**2 - 7*b*h*v - b*v**2 - 39*b + 2*v**2 wrt h.\nAnswer: -9*b*v**2 - 7*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 537316?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 0*j - 1 + 3*j - 6 + 2. Let m be o(6). Let y = m - 9. Solve 4*i + 0*i - y = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 4*g**2 + 3*g. What is the remainder when 13 is divided by p(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 0 + 1 + 12553*c - 12554*c. Let w(r) = -r**2 - 5*r + 6. Give -10*h(y) + 2*w(y).\nAnswer: -2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.2 + 11.7. Which is the nearest to 2? (a) -8 (b) -0.05 (c) h (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 6*x - 87 = 0. Calculate the remainder when x is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2109, 2115, 2125, 2139, 2157, 2179?\n\"Answer: 2*f**2 + 2107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -1, 15, -3\/5, -3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 760 and 2888?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of (-13)\/13 + 16521 + 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (4 - 2) - (-6 + (12 - 23))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 321 = -4*c. Let l = 153 + c. Calculate the highest common divisor of 18 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 13*k + 6. Let l(a) = -35*a + 8*a - 11 + 0 - 2*a**2. Let h(r) = -9*b(r) - 4*l(r). Let m be h(-7). Solve 0 = -3*w + m*w + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 206679632 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 148 and -13321.\nAnswer: -1971508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 5299826.71015.\nAnswer: -5299829.71015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 5197.23.\nAnswer: 5197.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.008 + -0.008. What is the nearest to -5 in 0.5, -0.4, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46786 and 5364.\nAnswer: 842148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8424 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33270 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.9? (a) -5 (b) -2019 (c) -3\/4 (d) 1 (e) -6\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 287671595.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((-3)\/(-6)*-1*14).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/23 - 135334\/(-14444).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5 = 3. Let m be (b + -3)*(-4 + 2). What is the derivative of 0*v**3 - 2 - 3*v**m + v**3 - v**3 wrt v?\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2*i**(1\/5)\/i*(i*i*i*i**(-2\/3)*i)\/((i\/i**(2\/7))\/i))**28 assuming i is positive.\nAnswer: i**(2024\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 3. Suppose -5*s + 4 = -k. Suppose 2*c - s = 3. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11556948, 11556952, 11556956, 11556960, 11556964, 11556968?\nAnswer: 11556972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*u - 73, 3*d - 4*u + 82 = 4*d. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 43014668?\nAnswer: -43014673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/2)\/v)\/v)**(1\/21)*v*v**(-1\/7)\/v*v*v*v*v*v**(1\/8)*((v**(-2\/7))**(-5))**(-2\/131) assuming v is positive.\nAnswer: v**(28529\/7336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 5 (b) -1\/2 (c) 1\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**8)\/f)**20*f**9\/(f*(f*f**(-1\/3))\/f) assuming f is positive.\nAnswer: f**(505\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1\/(-2)) + 2 - (-2472)\/7416?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 63943046?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 5*q + 2. Let j = -3 - -9. What is the lowest common multiple of j and b(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1752 + -4?\nAnswer: 1749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12221001100201 + -2?\nAnswer: 12221001100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 + 2*x. Let k be d(-2). Suppose a + k = -2*u - 1, 2*u + 17 = 3*a. Let j(l) = 2*l + a*l - 4*l + 2. What is j(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 134*w - 1860. Give z(16).\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 15 = -u. Suppose -4*g - 3 = -u*g. Let o = 10 + -8. What is the biggest value in -2, g, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -31*p**2 - 448*p - 217. What is u(-14)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -133*m + 167. Let s(u) = 264*u - 283. Give 5*r(t) + 3*s(t).\nAnswer: 127*t - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y + 3. Let r be 0*((-5 - -2) + 4). Let n be r + (4 - (-8)\/(-1)). Determine a(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 = 2. Let m(c) = -3 + 8*c**2 + 5*c**2 - t - 4*c**2. What is the remainder when m(3) is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 271.5784 - -0.3216. Let j = s + -258. Round j to zero dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4.4, -0.2, 78, 6, -0.031?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (30\/32 + 4\/(-4))*-46. Is j <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 955066681.\nAnswer: 17, 37, 89317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -24*v**2. Let b(a) = -2*a**2. Determine b(j(s)).\nAnswer: -1152*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301250 is divided by 150592.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 13*j + 89 = -3*j + 11*j, 3*d + 8*j = 154 for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 66 = 2*a + 4*s, 3*a - 64 = s. Let z = 21 - a. Sort 2, 5, z.\nAnswer: z, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-104)\/30 + ((-7)\/(-5) - 1786\/(-1410))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, 7, -2, 0 in descending order.\nAnswer: 7, 6, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/12 (b) 4 (c) 2\/5 (d) 0.5 (e) -807\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Let y(l) = -l**3 + 6*l**2 + 4*l + 8. Let u be y(6). Let b be (-1)\/(-4) + 24\/u. What is the first derivative of -2*a**3 - b + 0 + a**3 wrt a?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 34?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**19*k)\/((k*k**11)\/k)*(k*k*k*k\/((k*k\/k**1)\/k))\/((k**(-36)\/k)\/k) assuming k is positive.\nAnswer: k**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/465552 and 95\/1008.\nAnswer: 3258864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 88 + 149. Let t be (-1 - 1) + a\/1. Let g = t - -160. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-1)\/(-16)*-2). Let u be ((-2)\/s)\/((-24)\/591078). Let d = u - -6159. Find the common denominator of d and 81\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 771705954480*o**2 - 771705954480*o**2 - 42*o**3.\nAnswer: -42*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1377) + (sqrt(1377) - -2*sqrt(1377)))*-4)**2*5*-3 + 2 + 1 + 3.\nAnswer: 10575366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 728, 2698, 5914, 10370, 16060?\n\"Answer: -l**3 + 629*l**2 + 90*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 51 - 41 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9180, 9327, 9464, 9585, 9684, 9755, 9792?\nAnswer: 9789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95*z - 36*z - 45*z)*(z + 0*z - 4*z) + (6 - 1 - 4)*(0 + 0 - 2*z**2).\nAnswer: -44*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 4 - 1\/1. Suppose 50 = v*l + l. Let s(q) = q**3 - 11*q**2 + 11*q - 4. Is s(l) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1452 + 10*c - 647 - 731 - 2*c**4 - 10*c + 4*c**3 in the form i*c**4 + p*c + t*c**3 + f*c**2 + j and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n**2 - 6*n + 9. Suppose 0*c = w + 5*c - 82, -w - 3*c + 78 = 0. Suppose -3*s + w = 63. Is l(s) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 12) to base 16.\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b - 18. Let g be h(14). Which is bigger: 9 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1416 and 20253048?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-523*v + 523*v + 532*v**2)*(45*v - 33*v - 30*v)*(-2 + v + 2) to q*v**4 + t*v + f*v**2 + k*v**3 + r and give q.\nAnswer: -9576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2)*v)\/(v*((v**(5\/4)\/v)\/v*v)\/v*v*v))**(3\/5) assuming v is positive.\nAnswer: v**(-27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 959762 a multiple of 340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 58 + 0?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 4*p + 5. Let r be s(4). Suppose 29 - 199 = -r*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2130032 + 11?\nAnswer: -2130021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m - 25 = -29*m. Suppose b + 52 = m*u + 4*b, 0 = -b - 1. What is the remainder when 17 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194712540?\nAnswer: 2, 3, 5, 11, 47, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 9:54 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -3\/4, 3\/4, 2\/157, -709\/2, -0.1?\nAnswer: 2\/157","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**4 - 5*b**3 - 2*b**2 - 13*b. Let d(l) = l**4 - 11*l**3 - 5*l**2 - 24*l. Let f(m) = 3*d(m) - 7*t(m). Find the third derivative of f(k) wrt k.\nAnswer: -96*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-32)\/48)\/(2\/3))\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -10 + 14. Let x(y) be the first derivative of i - 5\/3*y**3 + 0*y + 0*y**2. Let c(w) = -2*w. Determine x(c(v)).\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from bfvvebys?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - 0.4. Let r be ((-20)\/(-3) - 7) + 10\/6. What is the second biggest value in r, h, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2167 + 2176. Let o(g) be the first derivative of 18*g - 15\/2*g**2 + j. Differentiate o(x) wrt x.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*c**2 - 36*c**2 - 53*c**2 - 39*c**2.\nAnswer: 26*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**3 - 2*j**2 - 4*j + 3. What is the tens digit of f(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + (-3 - -4) + -5. Let i = 14 + j. Solve -4*u + 3*m - i = 0, 4 = -4*m + 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 226 + 20. Let b = g + -46. Suppose -4*t + 162 - 82 = 0. Calculate the remainder when b is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*r + 158700 = -71*r. What is the greatest common factor of 150 and r?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -25. Let t be 2\/1*10\/k. Suppose -2*c + 0*c - 4*q = 10, 0 = -2*c + 5*q + 17. Solve 14 = t*j - c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h + h**2 + 3*h**3 + 87 - h**3 + h**2 - 85 to the form g + q*h**2 + w*h**3 + l*h and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2128*q + 1064*q + 1060*q = y - 4 + 18, 0 = -11*y + 66 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.53131 kilometers in micrometers?\nAnswer: 60531310000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -280 - -279. What is the third biggest value in -8, h, 0.5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(171)\/(-2*sqrt(9) - sqrt(9)) - sqrt(19))**2 - sqrt(38)\/(sqrt(6)\/sqrt(3))).\nAnswer: -304\/9 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/21 (b) 3\/8 (c) 57 (d) -15\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12240 and 94945.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 63706325.\nAnswer: 63706325.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 < 6\/1121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 815*s + 17. Let i(w) = -9*w - 2. Determine 18*i(k) + 2*q(k).\nAnswer: 1468*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8131.703 litres to millilitres.\nAnswer: 8131703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3305581 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 525*s = 3764 + 4636 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-45)\/(-18)*(3 + -1). Sort x, 1, -10 in ascending order.\nAnswer: -10, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + q + q)*(1 + 2*q**2 - 1 - 2*q**2 + q**2 + 0*q**2 + (q**2 - 2*q**2 - q**2)*(3 + 0 - 2) - 2*q**2 - q**2 + q**2 + 2*q**2 + 0*q + 0*q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 4*o**3\/3 + 7. Let d(l) = 4*l. Determine d(y(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -243 - -261. Solve y - u = -16 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 6804 = 2*p - 6782, -4*f - 27 + 4 = -5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -4*v - 24, -5*n = -5*v - 2*n - 31 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bccbbccccbcccccb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d + 1. Suppose -6 = b - 23. Suppose -b*o + 163 + 1333 = 0. Calculate the least common multiple of c(-1) and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22001 + -21866. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12*(-2)\/(-20))\/(2\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 11. Let s(k) be the first derivative of -17 - 4*k - c*k - k**5 + 3 - 15*k. What is the first derivative of s(m) wrt m?\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.06 - -1.77. Is n greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 10 = -5*r, 7*r - 2*r - 15 = 2*z. Let o be 11\/35 - 2\/(-7). Which is the nearest to -2\/7? (a) o (b) 0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (5 - 23) - 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -117082*a**3 - 3*a**2 + 2*a + 468?\nAnswer: -702492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-4))\/(6\/16). Let w(u) = 4*u. Let l be w(n). Solve m + 8 = 4*o - m, l = 2*o - 2*m for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 242 - 67. Let r = -120 + t. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 26*n + 91 = 0. Suppose n*c = 18*c - 165. What is the greatest common factor of 20 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {o: 3, n: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1743 + -1743.000000738. What is h rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4812 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000230514 to six decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 121.3 + -114. Let h = 7 - t. Sort h, -24, 2\/9 in descending order.\nAnswer: 2\/9, h, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2 = 2*f + 1, 4*s - 20 = 0. Let b be (-24)\/10 - (-4)\/10. Let m(h) = -2*h - 3. What is the lowest common multiple of f and m(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 23*i**2 - 2*i - 2. Let k be 72\/33 - (-2 + (-336)\/(-154)). Let l(q) = 45*q**2 - 5*q - 5. What is k*l(z) - 5*c(z)?\nAnswer: -25*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-4)*(-1660)\/(-1743))\/((-6)\/(-2))\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 10*s - 5. What is the remainder when 6 is divided by g(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34009 * 2.\nAnswer: -68018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - (0 + -12 + 23)) + (-1 - 1) - 91?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2411*r - 19198. Let g be z(-8). Let y(n) = -8*n + 6. Let s be y(-6). Calculate the greatest common divisor of g and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -140.34539 - -140.95539181. Let t = d + -0.61. Round t to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304*l + 258 - 162*l**2 + 171*l**2 + 473*l = 0. Calculate l.\nAnswer: -86, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 24.8?\nAnswer: 49.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s**2 - 123*s - 40. Give d(31).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4721687 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 9612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, x: 1, j: 4, z: 2}. What is prob of picking 2 z and 1 x?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 + 58 = -2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**4\/12 - s**3 - 9*s**2 + 8*s - 21. Let i(m) = -m**2 - 2*m. Let p be i(-4). What is the tens digit of g(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 60.27 + -60.67. What is the second biggest value in 22, -0.09, -5\/4, x, -4?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + -3 + 3 + (-4 + sqrt(11))*1*3)**2.\nAnswer: -264*sqrt(11) + 1475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awaa when four letters picked without replacement from {a: 9, w: 3}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 v when four letters picked without replacement from aavrvvvvvravrr.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 519 in descending order.\nAnswer: 519, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-3) - 15\/(-9). Let c(p) = 3*p + p**2 + 0 + g*p + 1. Let q be (-8 + 11)*-1*1. Let x(m) = -4*m. What is q*x(w) - 2*c(w)?\nAnswer: -2*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*((-16)\/10)\/(-1). Suppose -13 = -4*v - 1. Solve v*j - i = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51224, -50963, -50698, -50429, -50156, -49879, -49598?\nAnswer: -49313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g\/(g\/g**(-3)))*g))\/g**(-5)*g*g**(-4)*g*(g*g*g*g\/(g**(1\/3)\/g))\/g assuming g is positive.\nAnswer: g**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5939935.\nAnswer: 5, 821, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + 2*(sqrt(150) - sqrt(6)) + sqrt(48)\/sqrt(2))\/((4*sqrt(60)\/sqrt(3))\/(sqrt(360)*1 - sqrt(360) - sqrt(360))).\nAnswer: -33*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24616)\/188 - (-143445)\/1095.\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -250 minus 89590239940?\nAnswer: -89590240190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and -823154.\nAnswer: 576207.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 933 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 10*m**2 + 9*m + 3. Let h(s) = -s**3 - 9*s**2 - 8*s - 2. Let d(b) = -6*h(b) - 5*n(b). Suppose 0 = -25*x + 158*x + 68*x + 603. Calculate d(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -248 + 240. Let v(y) = -9*y**2 - y**3 - 637*y + 1274*y - 638*y. Give v(t).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 22224?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(9)\/sqrt(3)*-4)**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*x - 24*x - 45 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13\/(-5) - 8\/(-4). Let i(t) = t**2 - 28*t + 185. Let r be i(18). Which is the closest to 2\/7? (a) s (b) 3\/4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 440 and 1568600.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000100110 - -10101000101?\nAnswer: 100101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 - 5*k - 3. Suppose i + 3 = 5*s - 2*s, 4*s = 3*i - 1. Suppose -s*c = -4*p - 4, 2*p + p - 7 = -c. Let b be c\/(-6)*(-63)\/(-14). Give w(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -638*s = -700*s. Sort s, 9, -9 in increasing order.\nAnswer: -9, s, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n - 10. Let f be s(-5). Suppose f = 11*t - 6*t. Let o be t\/2 + 6\/6. Solve o*g + 0 = 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18774, -46525, -74276, -102027?\nAnswer: -129778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 791\/(-452)*2\/(-14). Are 780 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-9))\/(-4)*((-675)\/(-117))\/(-25)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvy when three letters picked without replacement from tvvvytvtvtyttvvvv.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u = 5*m + 5*u - 20, 0 = 4*u + 4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10548603*f**4 - 3215950*f**2 + f wrt f.\nAnswer: 253166472*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 156823 - 4?\nAnswer: 15681b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1687309 and 1297930?\nAnswer: 16873090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*b**4 + b**2 + 6*b wrt b.\nAnswer: 912*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14072, -28789, -44146, -60143, -76780?\n\"Answer: -320*x**2 - 13757*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 7*v**2 - 5. Let s(z) = 9 - 42*z**2 - 7 + 40*z**2. What is 7*s(i) + 2*u(i)?\nAnswer: -2*i**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = i + 15, -51*j - i = -46*j - 25. Put -3, 90, -1, 1, j in descending order.\nAnswer: 90, j, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1870 - 935 - 935 - 6*w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*24\/36 - ((-130)\/15 + -1)?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11635 in 0.1, 60, -0.2, -0.6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**4 + n**4 - 3*n**4)*(-3476 + 1742 + 1734 - 4697*n).\nAnswer: -9394*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 - 785*q + 2353*q - q**2 - 785*q - 783*q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 3*h - 10. What is q(4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/12*(0 + -4). Suppose -1 - 3 = 4*j, n = -2*i + 3*j. What is the units digit of (-2)\/i - 3\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**5\/20 + 3*u**4\/4 - 4*u**3\/3 + 5*u**2\/2 + u. Let h be g(8). Suppose -3*a - h*p - 2 = 0, 3*a - p + 2 = 6. Is 11\/5 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -15 - 21. Suppose b = q - 4*q. Let f(z) = -2*z + 2. Is 14 a factor of f(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 3*h**4\/4 + 8*h**3\/3 + h**2 - 2*h + 3393. Let j(o) = -9*o**3 - 23*o**2 - 6*o + 6. What is 6*j(i) + 17*k(i)?\nAnswer: -3*i**3 - 2*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*o + 8. Let v = o + 4. Let p = v - -7. Solve 0 = p*n + 12 - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - -21. Let j = s - 69. Let r = -22 - j. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 890711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -889339.965.\nAnswer: -889340.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in -1, 3\/8, 8, -826?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8800 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 32 = -2*f, u - f = f + 22. Let c be (2 - -8) + -2 - -2. Suppose -u*x + 17*x = -c. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/17256 and 35\/8328?\nAnswer: 5987832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 164, 660, 1472, 2588, 3996, 5684?\n\"Answer: -2*o**3 + 170*o**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**4 - 4*h**3\/3 - 10. Determine o so that m(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 7*m**2 + 7*m - 13. Let z(o) = -4*o**2 - 5*o - 8*o + 3*o**2 + 12*o. Let s(j) = u(j) - 4*z(j). What is the tens digit of s(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123 divided by 817.\nAnswer: 123\/817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -55929, -448853, -1515361, -3592245, -7016297?\n\"Answer: -56132*i**3 + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + sqrt(80) + 5*-2*sqrt(80))**2*1 + 2)*3.\nAnswer: 15366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**7\/21 - s**6\/10 + s**5\/20 + s**4\/4 + s**3\/6 - s - 4. Let w(d) be the first derivative of m(d). Solve w(v) = 0 for v.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 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: What is the sixth root of 4159 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 112187 to the power of 1\/2, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m**2 - 2*m - 25. Let o(h) = 27*h**2 - 11*h - 125. Suppose -3*r = -15, 4*l - r + 2 = -11. Let u(g) = l*o(g) + 11*a(g). What is c in u(c) = 0?\nAnswer: -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 21. What is the tens digit of x(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) 7 (c) -0.3 (d) 4 (e) 1038\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -307, -323, -349, -385?\n\"Answer: -5*x**2 - x - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 13. Let s be j(9). Let t(w) = w**2 - 4*w - 5. Let n be t(s). Suppose 3*x + 2*f = -15 - 3, 0 = -3*x + 5*f + 3. Put n, x, 4 in ascending order.\nAnswer: n, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3562*r + 3563*r - 13 = 0. Suppose 0*d = -5*d + 325. Calculate the greatest common divisor of d and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 - (-31 + -45 + 70)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/13 - 464006*i\/13 + 26919076\/13.\nAnswer: -2*(i - 58)*(i + 232061)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-3*3*((sqrt(63)\/sqrt(3))\/sqrt(7) + 0 + sqrt(108)))**2 + -5).\nAnswer: 47608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 11 + 5*q - 2*q**3 - 2*q**2 + 3*q**3 - 14. Let c be (5 - (-3 - -2)*-6)*-3. What is d(c)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4031 - 1407 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k + 7. Suppose 0 = -b - 6 + 2, 0 = 5*q - 2*b + 17. Let v be u(q). Put -5, 0, v in descending order.\nAnswer: 0, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 + 8*j + 6. Let r(v) = -v**2 + v - 4*v**2 - v**2 - 79 + 78 + 5*v**2. Let o(h) = b(h) + r(h). Determine o(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 29, 42 in descending order.\nAnswer: 42, 29, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4*g + 4)*(2*g - 2*g - 2*g**4) + (3*g - g + 0*g)*(282*g**2 - 282*g**2 + 23*g**4).\nAnswer: 38*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 269*d**3 + 945*d**2 - 8*d - 4. Let n(b) = -538*b**3 - 1891*b**2 + 18*b + 9. Let s(t) = -9*a(t) - 4*n(t). What is the third derivative of s(u) wrt u?\nAnswer: -1614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(-70))\/((-5090)\/(-36648)).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 - -4.5. Let q = 0 - 3. Let d be (-2)\/q + (-51)\/9. Which is the third biggest value? (a) i (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 31 - 28 = -o, -y - 412*o - 38 = -416*o for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24471, 24493, 24527, 24579, 24655, 24761?\nAnswer: 24903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 76028371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g - 55 = -4*b, -4*b = 2*g - 58. Find the third derivative of 2*w - w + 0*w - 8*w - w**2 + b*w**2 - 143*w**3 wrt w.\nAnswer: -858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 13 + 13)*(a**5 - 2*a**5 + 0*a**5).\nAnswer: -41*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 d when two letters picked without replacement from iuuidviveddeeddeeddi?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31019, 62018, 92991, 123926, 154811, 185634, 216383, 247046?\nAnswer: 277611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -19, 3, 9 in descending order.\nAnswer: 11, 9, 3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 10*v = 15042. Let z be -2 + -1 + 284\/8*v. What is z rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -15875*y**2\/2 + 50*y + 182. Let n be z(-6). Round n to the nearest 1000.\nAnswer: 95000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 3:07 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 242892527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*x - 30 = 4*q - 546, 3*q + 0*q = -5*x + 113 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 14*q - 17*q + 1419, -2*i = -q + 472. List the prime factors of q.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7566, -7560, -7540, -7500, -7434, -7336?\nAnswer: -7200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*c, -c = 5*l - 3*c + 13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 58*t**2 - 21*t + 1329. Calculate j(58).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 25*p**2. Let t(s) = s**2 + 0 - 20*s + 29*s + 9. Let w(c) = -2*c - 2. Suppose -5*z + 144 = 3*z. Let r(n) = z*w(n) + 4*t(n). Calculate l(r(v)).\nAnswer: 400*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -d8b68?\nAnswer: d8b67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 divided by -4?\nAnswer: 67\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 156, 204, 278, 372, 480?\n\"Answer: -n**3 + 19*n**2 - 2*n + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t = 6*t + 18. Let z(d) be the third derivative of d**6\/8 - d**4\/24 - d**3\/6 + d**2. Calculate z(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 27\/(-18) + (-7)\/(-2). Suppose 8*m - 5*m + 3*m**b - 6 - 4*m - 2*m = 0. Calculate m.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1004 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(192))**2 + 4.\nAnswer: 71\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*3\/30)\/((-10)\/(-25))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 5*t**2 - 8*t - 12. Let h be p(-6). Let q = -3 + -1. Put h, q, -1 in increasing order.\nAnswer: q, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 7) to base 10\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 1. Suppose -4*h = -u*h - 402. List the prime factors of h\/39 + 2\/(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 12*r**2 + 9*r**2 - 3*r - 35*r**2 + 12*r**2. Suppose 6 = -0*o - 3*o. Give y(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from viydiyddivddd. What is prob of sequence dy?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1921.4 and -0.1.\nAnswer: -1921.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/4*4*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t + 77. Let x be o(11). Suppose k = -k + 8. Sort -4, x, k in decreasing order.\nAnswer: k, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31561152 divided by -10520384?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1366.55999 rounded to the nearest integer?\nAnswer: -1367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -9*z**3 + 6*z**2 - 8*z - 8. Is g(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111222223131 (base 4) to base 5\nAnswer: -2423223322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f. Let v = -6 - -8. Let q(s) = -2*s**v + 4*s**2 - 3*s**2. Calculate c(q(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q**3 - 7*q**2 + 7*q**2)*(-1 + 2 + 1) + 2*q**3 - 6*q**3 - 4*q**3 in the form l*q**2 + y*q + h + c*q**3 and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**24*n**(-4\/13) assuming n is positive.\nAnswer: n**(321\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 457871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4907072 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10871.2 + -12952. Round w to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -4\/3 (c) -2 (d) -21 (e) -25.8 (f) -4 (g) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64 - 64.027. Let z = g - -2.047. What is z rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71\/4 of a litre?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -3*k, f + 4*f - 30 = 3*k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 - -34. Let p be 1\/(h + 3 - -1). Is 0 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -57, -105, -149, -189?\n\"Answer: 2*d**2 - 54*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35123846*-0.2.\nAnswer: 7024769.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/6)\/(-11)*18\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 432\/28 - (-1)\/((-35)\/(-20)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*r + 16 = 2*r, -5*k - 5*r = -10. Let i(l) = -l**3 + 2*l + 3. Give i(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*z = -2*z - 353, y - 5*z - 89 = 0. Let h = -35 + y. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 0 + 2\/3*d**4 + 0*d**7 + 9*d + 0*d**6 + 0*d**2 + 0*d**3 + 0*d**5 - 3\/28*d**8. What is the third derivative of h(c) wrt c?\nAnswer: -720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62189.4 milligrams in kilograms?\nAnswer: 0.0621894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -503*u - 1400. Does 59 divide l(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6ee8b (base 15) to base 7\nAnswer: 3003614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millisecond in microseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3451*t - 6641*t + 3439*t.\nAnswer: 249*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1559.21 to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 10*j**2 + 9*j - 1. Let k be c(9). Suppose -4*s + s = 42. Let m = k - s. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 4*b + 109 + 67, -4*b = 4. Suppose -z = 14*o - 17*o. Calculate the highest common factor of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9998530?\nAnswer: 2, 5, 999853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/5, -0.1, -2\/3, 193, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-14)*(-35)\/10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-147)\/98 + (-2)\/(-4) + 6849?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 494, 4091, 10116, 18593, 29546, 42999?\nAnswer: 58976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 0*n**2 + 8*n - n**3 - 31 + 5*n**3 - 2*n**2 + 37. Let j(k) = 3*k**3 - 2*k**2 + 7*k + 5. Determine 5*f(r) - 6*j(r).\nAnswer: 2*r**3 + 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 268.5577224862 + -0.5576983862. Let g = 387 - 119. Let h = g - p. What is h rounded to six decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 331 = -4*o - 4*g, 5*o - 1765 = 2*g. Let s be 9\/(o\/24)*-1. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33581.12 plus 27159?\nAnswer: 60740.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10957963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8*(-132)\/(-192)*(-3 + 5). Let z = 5 + 0. What is the highest common factor of g and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.31 - -0.51. What is the closest to 0.1 in -0.4, o, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.237, 1, -2, 7, 0.4 in descending order.\nAnswer: 7, 1, 0.4, 0.237, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.72552 millennia in centuries?\nAnswer: 267.2552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 32 = 4*q, q + 2 = 2*g - 5. Let y be 4165\/21 + (-2)\/g. What is the highest common factor of y and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(112)\/(sqrt(32)\/(4*sqrt(8))))\/(-5*((sqrt(196) - (sqrt(196)*4 + sqrt(196) - sqrt(196))) + sqrt(196))) + 4)**2.\nAnswer: -5608\/175 - 32*sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -2.6. Let i = -0.7 - p. Suppose d + v - 5 = 0, -4*v = -2*d - 10 - 4. What is the closest to i in -0.1, 5, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**2\/21 - 556120*a\/21 + 2224576\/7 = 0. What is a?\nAnswer: -278072, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**2 - 51913118*s + 51913116 = 0.\nAnswer: 1, 25956558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 373567180 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1712124345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 3039*g - 144967. What is n(47)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rraaaarrra. Give prob of picking 4 a.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*a**2 + 1291262*a - 1291262*a.\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3))**(-1)\/((p\/p**(12\/7))\/p*p*p*p**(9\/8)) assuming p is positive.\nAnswer: p**(89\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46.793 + -42.67. Let m = q - 0.123. Let g = -28\/3 - -10. Put 4\/3, g, m in descending order.\nAnswer: m, 4\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**3 + 7 + 17*u**2 - 19*u**2 + u**4 + 0*u**3 to y*u + l*u**3 + d*u**2 + t + r*u**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52462 - 4553?\nAnswer: -60345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 6*s**2 + 5*s - 5. What is r(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 22133, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -462 - -471. Let v(l) = -l**2 + 4*l + 7. Let d be v(5). Suppose -3*m - 2*z = -0*m - 20, d*m + 3*z = 20. Solve -y = m*j - j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 160?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 8 = 2*a. Suppose a = -2*d + 2. What are the prime factors of (-100)\/(d*4) + -1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-33)\/(-6) + -4)\/(27\/(-39)) and -28\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k + 188 - 10*k - 188 - 5*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*i**2 + 320*i**2 - 163*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 36*j. Let k(n) = 2*n**2 - 78*n. Let d(l) = 13*i(l) + 6*k(l). Let r(s) = 82*s**2. Calculate d(r(f)).\nAnswer: -6724*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/7 - 5980*c\/7 - 5979\/7.\nAnswer: -(c + 1)*(c + 5979)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3 - -3)\/5)\/(-1). Suppose -2*z - 8*z + 210 = d. Calculate the least common multiple of z and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -451*d - 16 + 906*d - 455*d + 5*d**2 as v*d + n + w*d**2 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 divided by -2?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f\/(f\/(f\/(f*f**(-1)))))\/(f\/(f**5*f)))\/(f*f**(2\/3))**(-4))**(-50) assuming f is positive.\nAnswer: f**(-2200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 96521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/27 + 2043\/81. Suppose -2*x + y = -5*g - 21, 3*g - 111 = -3*x. Is x a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 653345768 is divided by 1085?\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 4*x**2 - 3*x - 1. Let v be k(-2). Let j(z) = z**2 - 15*z + 42. Let o be j(3). Suppose 0 = -o*l - 14 + 26. Sort l, 1, v in decreasing order.\nAnswer: l, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195748.\nAnswer: 2, 7, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 206017262 to the nearest integer?\nAnswer: 14353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/127, 1395, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, k: 4, i: 3}. What is prob of picking 1 i and 3 k?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16\/7*c**4 + 20\/7*c**3 - 48\/7*c + 0 - 188\/7*c**2 = 0. What is c?\nAnswer: -4, -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006170187 rounded to 6 decimal places?\nAnswer: 0.00617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 743678 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 10 = 5*t, 42*r + t - 29 = 47*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 4*k + 6. Let o be f(6). Let q be (-5)\/(-10) - o\/4. Let n(m) = -7 + 4 + 3 - 3*m**q. Let u(l) = 4*l**2. Give n(u(b)).\nAnswer: -48*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2*u + 11, -5*q - 16 = -3*u - 6. Let i = 0.8 + -1.1. Let s = 0.4 + i. Is s at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(605) - (3 + sqrt(605))) + -3 + (sqrt(500) + -2)**2.\nAnswer: -40*sqrt(5) + 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 356490 to the power of 1\/2, to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*n + v, 0*v + 3*v + 23 = 2*n. Suppose 0*o = -n*o - 15540. Let h = -1487 - o. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-12) - 1\/4. Let k = -19.3 + 19. What is the closest to 1\/4 in q, -3, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1400)*1 - sqrt(14) - sqrt(14))\/(2*sqrt(7)*-6).\nAnswer: -2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.18594 millennia in decades?\nAnswer: 9118.594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5049379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3021154 (base 6) to base 16.\nAnswer: -22dfe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h*h**(1\/4)))\/(h*(h\/((h*h**0)\/h))\/h*h))\/(h\/h**(-4)*h*h\/(h**(2\/17)\/h)*h) assuming h is positive.\nAnswer: h**(-689\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -23*t**2. Let o(r) = 45153*r. Calculate s(o(z)).\nAnswer: -46892248407*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/83 or -236?\nAnswer: -236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -20 and 0.5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 914 = -35*n + 1544 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + -1 + sqrt(200) - (sqrt(2) + 2*(sqrt(2) + 1 + sqrt(2))))**2 - ((sqrt(7200) - (1 + sqrt(7200))) + sqrt(7200))**2.\nAnswer: -6742 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3111 (base 10) in base 15?\nAnswer: -dc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2 + 1. Let i be (6\/4)\/(3\/4). Let n be i + q - (2 - 3). Solve 5*p - 26 = 3*h, 3*h + 0 = -p - n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 51\/4 of a hour?\nAnswer: 765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -421655 = -222*l + 245011. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y - 1. Let k be j(2). Let d = 0 + -1. Sort k, 4, d in descending order.\nAnswer: 4, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 12:19 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35368153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/((-44)\/33*(-6 + (-54)\/(-8))). Suppose -2*s - 7 = -15. Let v(u) = -4*u + 3. Let q(w) = -5*w + 4. Calculate r*q(b) + s*v(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -89 - -94. Let p(a) be the first derivative of -3*a**4\/2 - a**3 - 3*a**2\/2 - a + 8. Let s be p(-1). Solve -s*g + j = -20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/(-36) - (-9)\/(-6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 48*k - 291. Give n(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 9*w**2 - 2*w - 9. Give n(6).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43646192.\nAnswer: 2, 19, 143573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1807.782 to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -4713815.17 to the nearest ten thousand.\nAnswer: -4710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 12. Suppose 2*z + 0*o + l*o = -8, -4*o - 22 = -5*z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 1:27 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2427604226245 and -1.08?\nAnswer: 2427604226246.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 3*j + 3. Let y be x(-5). Let o = -9 + y. Let p be o + -1 + 2 + -2. Solve p = -4*h - 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 1279 + 2725. Let z = w + -250. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + q**2 + 9. Let m be t(0). Let b = 40 - m. Let r be 2\/7 + b\/(-35). Which is bigger: r or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 4*f - 2*q, -3*f = 4*q - 103 - 15. What is the second derivative of -42*o**2 + 24*o + 1 + 1 - f*o**2 + 0 wrt o?\nAnswer: -160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129627299 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 10*z + 13. Let j be i(-9). Solve -j = -o - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 11:37 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.01 + 0.01. Let v = -14.8 - -15. Which is the nearest to -1? (a) v (b) u (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -171, -1, -0.289, 2\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-21)\/m**(1\/2) assuming m is positive.\nAnswer: m**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.028 (b) 50794 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - w**2 + w + 6. Let u be 6 - ((-4)\/10 - (-32)\/(-20)). Suppose 35 + 21 = -u*s. Is c(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l. Let n be 7\/(28\/(-8)) - -2. Let k(x) = -x + 2*x + n*x. What is k(i(g))?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b**3 + b**2. Let w be y(-2). Let l be (w\/30)\/((-4)\/50). Is 3\/l + (-228)\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b67 (base 14) to base 11.\nAnswer: -3828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7155 is divided by 267?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-18)*(-2)\/(-12)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + z - 10 = -3*z, z - 1 = 2*i. Let a(x) = x + 2. Let p be a(i). Suppose -2997 + 12459 = 3*s - p*v, 2*s + v - 6320 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 283 divide 912683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-227)\/((-1)\/(-416)*1). Let b = z - -183529\/2. Let n = -2617 - b. What is the common denominator of n and -54\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 5, -1715, -4 in decreasing order.\nAnswer: 5, 3, -1, -4, -1715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.5 - -1. Let v(t) = 2 - 6*t**3 - 2*t**2 - 5*t + 2*t**2 - t**2 + 7*t**3. Let m be v(3). What is the smallest value in a, 5\/4, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 14 + 3 + -16 + 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4976955096.93416 - -23350.93416. Let n = t + 4976931803.99999942. Let v = -58 + n. What is v rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9, 15, 27, 45, 69, 99?\n\"Answer: 3*z**2 - 3*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -4. Suppose -l - 6 = -3*s. Suppose -2*h + s = -9. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1629 + 2139. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p + 42 = -2*p. Let i be (p - -2)\/(16\/(-64)). Solve 12 = -i*k + k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 354115199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 320*l + 329*l - 6*l**4 + 2*l**3 - 20*l**2 - 974*l + 323*l to the form u + s*l**2 + y*l**4 + i*l**3 + h*l and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.86 - 0.46. What is the third biggest value in 1\/2, -29, y?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 606 (b) -1 (c) 2\/23 (d) -2.9 (e) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o**3 + 67035945*o**2 + 14592*o - 12654.\nAnswer: -18*o + 134071890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 4*a**2 - 6*a + 10. Let p be f(4). Calculate the common denominator of 11\/14 and 29\/(-28) + (-4)\/p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u**2 - 2*u + 5. Suppose 10 + 6 = -4*j. Let x be o(j). Let l be 5\/20 + x\/(-4). Calculate the highest common divisor of l and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (1 - 1)) + -16 + 15\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 6*z - 464 = 0. Suppose z*j + 6 = 55*j. Let m(p) = 13*p - 1. Calculate m(j).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -24*m + 88. Let u be s(7). Let x be ((-18)\/(-10))\/((-12)\/u). Solve x = -8*j + 11*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 766, 4, 5, -36 in ascending order.\nAnswer: -36, 4, 5, 766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 2*s + 5*s = 6, 0 = 5*s - 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2289*m - 4421*m - 1199*m - 1790*m - 284*m - 3051*m)*(-2*m**3 + 2*m**3 - 2*m**3).\nAnswer: 16912*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 133013566?\nAnswer: -133013562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*(-3 + (sqrt(567) + 1*sqrt(567) - sqrt(567)))*5)**2*3.\nAnswer: -15120*sqrt(7) + 172452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 16 = 0, -r + 5*w + 0*w = -12. What is the greatest common divisor of 286 and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 3*h - 6 = 8*a, -2*a - 1 = -3*h + 2*h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 540 and 14400.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-2\/7)*l*l*l)*l)**(-21))**9 assuming l is positive.\nAnswer: l**135","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*k**2 - 2*k**2 + 5*k**3 - 3*k**3 + 10*k**3 wrt k.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 12*s**2 + 41*s + 42.\nAnswer: (s + 2)*(s + 3)*(s + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 55, 5, 0 in decreasing order.\nAnswer: 55, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by -560879\nAnswer: -37\/560879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-0.4305.\nAnswer: 1.722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 248 + 0.88\nAnswer: 248.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 35. Suppose o = 4*r + r. Suppose -y - 5*t = -47, r = 3*y - 5*t - 18 - 43. What is the remainder when y is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315 - 2112 - 9057 = 398*g + 240*g for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcbadkd. What is prob of sequence bc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 128279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkh when three letters picked without replacement from {k: 3, h: 1, y: 5, c: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3808*p**3*s**3 + 2753*p**3*s**2 + p**2*s**2 wrt s?\nAnswer: 22848*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 15*k + 3 = -2*t, 0 = -3*t - 2*k + 13. Let o = 73 + -51. Calculate the lowest common multiple of o and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 21430*m - 114811225.\nAnswer: -(m - 10715)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/15 + 2836*y**2\/5 + 4021448*y\/5 + 5702413264\/15.\nAnswer: 2*(y + 1418)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/58, -3\/2, -1\/5, 6, 2, -1.3, 0.14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**4\/4 - 2*l**3 + 2*l + 1. Let z be ((-1)\/(-2))\/((-3)\/36). Let t be w(z). Solve -2 = -k + t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*v - 9*v + 1, -2*w + 5*v = -11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2524*u - 406*u**2 + 2524*u + (1 + 1 - 3)*(0*u**2 + u**2 + u**2) + 0 + 0 - 2*u**2.\nAnswer: -410*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32103*d**2*k*w - 4*d**2*w + d*k*w - 4*k + 16*w - 1491 wrt k.\nAnswer: -32103*d**2*w + d*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = q + 3*s - 22, 0 = 2*q - 4*s - 54. What is the least common multiple of 100 and q?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 + 2590 + a**2 - 11*a + 134*a - 1295 - 1297 as d*a**3 + v + m*a**2 + c*a and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + b + 4. Let i be m(-3). Suppose -5*s = -10, 2*f - 22 = -4*s + s. Let j = i + f. Solve 0 = c + 4*x - j - 11, 3*c + 19 = x for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 1174*q**3 - 3*q**2 + 3*q + 3. Let z(x) = 1175*x**3 - 4*x**2 + 4*x + 4. Determine -4*r(s) + 3*z(s).\nAnswer: -1171*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 24 = 6*a. What is the remainder when 17 is divided by (-70)\/a + (-4)\/(-32)*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(1\/2 + 0). Which is greater: v or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(54)\/sqrt(2) + 1 - (0 + sqrt(147)*-1 + sqrt(147))**2.\nAnswer: 1 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2. Suppose 2*k - 6 = k - w, 3*w = -4*k + 20. Suppose -k = -2*o + 2. Let b(a) = 2*a**o + a**2 - a**2 + a**2. Determine b(i(y)).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h = -16*h - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.3163 rounded to 1 decimal place?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1)*43*(-7504)\/(-9632)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -1, 2\/25, 0, -214?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a milligram in micrograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7068225 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 204 - 49 = 0. Let t = -17 + k. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 459 or -15?\nAnswer: 459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a micrometer in nanometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 31*g - 392. Let t be m(14). Solve -t*v + 47*v - 15 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1125 - 30 = -11*u. Is 21 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -2\/5, 342, 3, -15\/7, 0.171?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011001 + 100001110111011011?\nAnswer: 100001110110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7257.\nAnswer: 3, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 - 12595*u - 200240.\nAnswer: -5*(u + 16)*(u + 2503)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 129635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1047*y**3 - 2746*y**3 + 3*y + 5576*y**3.\nAnswer: 1783*y**3 + 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2329, 2704, 11099, 22862, 37999, 56516?\nAnswer: 78419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1021698, 2043394, 3065088, 4086780?\n\"Answer: -h**2 + 1021699*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -133.3766 - -238.3783. Let n = -105 + q. What is n rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 385 and 15?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10378 - -278?\nAnswer: 10656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 7. Calculate the common denominator of 2\/(-8)*(-78)\/u and ((-426)\/(-30))\/((-12)\/(-10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3046641271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - -13. Let z = -3344461.9 - -3344479.9000116. Let x = a + z. Round x to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, i: 4, l: 2}. What is prob of picking 1 l and 2 i?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1584 - -462324?\nAnswer: 464018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 591*p = -38502 + 149610. What is the least common multiple of 1034 and p?\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 578036477 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -2133222110011?\nAnswer: 2133222110012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*t - 13. Let w(b) = -10*b + 5*b + 13*b - b**t + 5 + 7*b**2 + 0*b**2. Determine w(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*n + 44*n = -260. Solve -3 - n = -4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (9 - ((-4 - 0) + 7)) - -6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*o + 16, 0 = -4*o + 1 + 7. Let r = 122 + -14. Calculate the greatest common factor of r and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2163\/(-3605))\/((4\/90*75\/(-100))\/3)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - -13.1. Let q = -639164 + 639151.0000064. Let l = q + b. What is l rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 216739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 226 - 213 = -2*z, 4*z = 4*g - 572. Calculate the remainder when g is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -760, 1\/3, 0, 0.22, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.615559985 rounded to four dps?\nAnswer: 1.6156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*n - 349*n + 132 = -199*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -227 + 48. Let d = -161 - c. What is the highest common divisor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 91, 134, 205, 304, 431, 586, 769?\n\"Answer: 14*x**2 + x + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.8 + 3.8. Let d = -5538.2 + 5538. Put -0.5, d, b, -3 in descending order.\nAnswer: d, -0.5, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*p - 40*p + 21. Let g be (((-2)\/p)\/((-5)\/35))\/(-1). Let f(o) = -o**3 - 3*o**2 - o. Let n be f(-3). Solve g*l = -5 - n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**3 + 3*i. Is 9 a factor of t(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 305097174 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*g - 44 = -c + 29*g, 0 = -2*c - 3*g + 91. Calculate the remainder when 51 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1716649798?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 2*s - 44. Suppose s = 4*u - 5. Solve -3*o + u*k = 2*o + 11, -2*k - 5 = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 63*f + 65. What is the remainder when 323 is divided by m(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -350, -328, -300, -272, -250?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 - 600*c**3 - 6*c**2 + 1804*c - 1200.\nAnswer: 2*(c - 300)*(c - 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -927, -950, -989, -1050, -1139, -1262, -1425?\nAnswer: -1634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 4 + 3 - 3 + 6 + (1 - 1 - 1)*(-2 - 3 + 4))*(-2*g - 4 + 1 + 2) as k*g + t and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 49\/6*j**3 + 65*j - j**2 - 7\/12*j**4 + 1\/60*j**5 + 0. Factor w(h).\nAnswer: (h - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/150*(-2115)\/188?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 6*f**2 + 2. Let k be p(-6). Let a = -9 + 24. Let q be (a\/10)\/(6\/(-8)). Is q less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*f = -68*f - 3066. Let r = f + 1521. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j = -36*j + 135 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 6:38 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1377 is divided by 268.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-176)\/(-99) - (-2)\/9. What is the greatest common divisor of i and 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -218.2 - -218.6. Which is the nearest to 3? (a) m (b) 0 (c) 3\/8 (d) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -651 (base 13) to base 9\nAnswer: -1430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/18)\/(3\/(-18)). Suppose -5*s + 163 = 3*i, n*s + 96 - 2 = 2*i. Suppose -2*z + 51 = h, 0 = h - 8*z + 3*z - i. What are the prime factors of h?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 29*l = 8*l + 92 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -12. Let o = 6.9 - -23.1. Let l = 29.9 - o. Are l and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17746121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - r**2 + 2*r**2)*(-2 + 2 + 2*r)*(3*r + 4 - 4 - 3 - 6*r + 3 + (-3 + 6 - 1)*(4*r + 2*r - 4*r) + 6*r + 12*r - 3*r).\nAnswer: 32*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 8. Let y be i(-10). Suppose -12 = -y*l + 2. Let k = 9 - l. Solve -7 = k*t - 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1198426435\/122928 + -380072\/39. Let i = 5\/394 - j. Find the common denominator of (((-340)\/(-14))\/(-1))\/4 and i.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/9 - 5731154*z\/9.\nAnswer: 2*z*(z - 2865577)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 38*t**2 + 18*t - 33. Suppose -349 - 1095 = -38*b. Does 31 divide n(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 10 = 2*m. Suppose 9*t + 37 = -10*t + 75. Sort 5, t, m, -4 in increasing order.\nAnswer: m, -4, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 16 = 3*i. Suppose -c = -3*q + i*q, 5*q + 4*c = 15. Calculate the remainder when (q + 4 - -10) + -3 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 11*n - 560 = 0. Differentiate 14 + 16 + 23 - n*y + 97 wrt y.\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 5. What is the remainder when 33 is divided by (-2 + 12 + 2)*v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 478 = -j - 468, 5*j - 4*k - 8 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -498041 and 1.7.\nAnswer: -846669.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60a38 (base 11) to base 16.\nAnswer: -15c09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (8252 - 8238) + (-39 - (1 - 0))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of h**3\/3 + 9*h**2\/2 + 10*h - 142. What is u(-10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**6\/180 - n**4\/6 + n**3\/3 - 1. Let z(g) be the third derivative of j(g). Differentiate z(r) wrt r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 0, 14 in descending order.\nAnswer: 14, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zezz when four letters picked without replacement from ezzvzzzve?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/54*(-10 + 4). Suppose u = -u. What is the closest to n in 3\/7, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/(((-7)\/(-15))\/7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2*i**4 - 38*a**2*i**2 + 4*a**2*i - 14*a*i wrt i?\nAnswer: -12*a**2*i**2 - 76*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**3 - 3*v - 5. Let s be (1\/(-2))\/((-7)\/(-70)). Let i(n) = 4*n**3 + 4*n + 6. What is s*i(l) - 6*u(l)?\nAnswer: -2*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**6\/240 + 3*z**5\/40 - z**4 + 13*z**3\/3 - 64*z**2. Find b, given that u(b) = 0.\nAnswer: -13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 18 = -4*d + 58, -2*d = -t - 10. Let i = 0.3 - 1.3. What is the closest to i in d, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 626866704 and 306.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - m**2 + m. Let q be v(1). Let k(d) = d**3 + 6*d**2 + 4*d - 7. Let x be k(-5). Let l be 2\/(-2) + (-1)\/(-1). Sort q, l, x in descending order.\nAnswer: q, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**2 - 14*v + 1. Let h be g(-4). Suppose 0 = -3*b - b + 2*a + 30, -b + 4*a - 3 = 0. Is h at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 - 11034?\nAnswer: -11016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 101783 and 351614.\nAnswer: 3867754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i + 77. Let c(a) be the first derivative of -a + 1733. Calculate 154*c(w) + 2*k(w).\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 108524, 108528, 108532, 108536, 108540, 108544?\n\"Answer: 4*x + 108520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -110313133223 (base 4) in base 6?\nAnswer: -313124535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-3 - -8)) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32)\/(-5) - (-10)\/(-25). Let k(h) = h + 480. Let t be k(0). Suppose -b + 3*b - a = 0, -3*y + 2*b + t = 0. 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: Let s(w) = -3*w**3 - 19*w**2 - 5*w - 2. Let c be s(-8). Suppose -3*y + c - 88 = 0. Calculate the highest common factor of y and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7106930 + 122.58?\nAnswer: 7107052.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*y + 0*y = -20, -4*z - 3*y = 12. Let t = z + 3. Suppose -t*l - 2*l = -10. Solve l*c + 15 = -3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1867b6 (base 15) to base 7.\nAnswer: 13040544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003499 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 7*v - 36. Let f(x) = x + 3. Determine f(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 185 = -9*x. Calculate the remainder when 44 is divided by (-6)\/18 + x\/15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zztkkzkz. Give prob of sequence kzz.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 6808.\nAnswer: 20424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -1045. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2276 divided by 4.\nAnswer: -569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2418145 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27533528\/119 + 231379. Let k be 134\/68 + (-2)\/(-4). Let a = k + b. Calculate the common denominator of a and 89\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 15, -2*v = 2*o - 270 - 690. Find the common denominator of (-369)\/o + 6\/21 and (3 + 0 + 4\/(-8))*4.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 424800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 586 (base 13) to base 15.\nAnswer: 43a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/45*30\/44*(-44)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 + 48.6. Let q(u) = 2*u**3 + u + 1. Suppose -1 + 2 = -k. Let x be q(k). What is the nearest to x in 4, b, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 3*i + 39, -15 = -4*n + 3*i - 6*i. Suppose 3*a + n = 2*r, 0*r - 5*a = 3*r - 9. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11452586?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 6. Suppose 0 = r*g - 6. Solve 5*k = 13 + g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -906, -3638, -8184, -14544, -22718?\n\"Answer: -907*h**2 - 11*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/22 and (1 - (-27)\/(-78))*-3.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4079729 is divided by 1079?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4105008544.\nAnswer: 2, 7, 13, 59, 23893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 2*r = 35, -6 = 5*r - 31 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-18)\/(-45) + 693\/55\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 622040 < 622040?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ub when two letters picked without replacement from uuuububu?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1230 - 168 = -3*m + 3*g, -g - 2314 = -5*m. Calculate the greatest common divisor of 63 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 8:20 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-122 + 126)\/((-4)\/(-627059)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2\/3 - 25324*o + 480978732 = 0. What is o?\nAnswer: 37986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -2)*3\/1. Let k(s) = -2*s - 3. Let f be k(h). Suppose 0 = -g + f*g. Is g < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q. Let l(h) = 0 - 13*h**2 + 0 - 4*h**2. Give l(g(y)).\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 4*g - 3. Let a be c(-6). Suppose 5 = -5*h + 25. Suppose -h*w = -a*w. Solve w = 6*x - 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (28\/(-245))\/((-4)\/(-10)). Let j(w) = w**2 - 9*w + 13. Let g be j(7). Let s be 6\/(-8)*((-16)\/54)\/g. Which is the nearest to r? (a) 0.4 (b) s (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -33*v**3 + 2823*v**2 - 31848*v + 52668 = 0.\nAnswer: 2, 11, 798\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/67 - 61\/201. Let g(f) = -2*f - 1. Let o(u) = -u**2 + 12*u + 20. Let w(j) = -6*g(j) - o(j). Let h be w(-8). Are a and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*y + 42*y + 4*y)*(0*y**3 + 3*y**3 + y**3)*(-2 + 0 + 1).\nAnswer: -288*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d - 18. Suppose x = -x - 40. Let b = -14 - x. Let f be u(b). Solve f = p + p - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 41. Let x be l(29). Let s = 0 - -2. Solve -3*h + x = 3*t, 0*t + s*t + 4*h = 16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -l + 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -9*b + 14 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**4 + 153700616*d**3 - 167438053*d**2 wrt d?\nAnswer: -24*d + 922203696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (3*sqrt(77) + sqrt(77)))*6)\/(sqrt(528)\/sqrt(3)).\nAnswer: -9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c**2 + 53*c - 7. Let p(y) = y**2 - 27*y + 4. Let j(d) = 4*k(d) + 7*p(d). Find the second derivative of j(i) wrt i.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 0 + 0 + 0. Let a be 28*y\/(4\/3). Suppose 0 = 5*p + 10, 5*u + 387 - 1219 = -4*p. Calculate the greatest common divisor of a and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2361506 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 + (-178)\/(-6))*3 is divided by ((-625)\/(-100)*(-32)\/(-140))\/(2\/35)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 0. Let s = 6 + -1. Let k be s - 3 - (-1 - 0). Solve c + 2 = -k*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -30.112, -5, 1 in increasing order.\nAnswer: -30.112, -5, 2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g - 1. Let q(m) = m**3 - 9*m**2 + 7*m + 1. Let a be q(8). Calculate u(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 - -0.28. Let o = -0.03 - z. Let s = 23 - 71\/3. What is the closest to s in 0, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38a31aa (base 11) to base 9\nAnswer: -13633340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 302539 or 302541?\nAnswer: 302539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -63121 - -100?\nAnswer: -63021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-54)*(-681)\/454.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 0 + 1)\/((-36)\/72). Let r = 3.8 + -4. Which is the closest to -1? (a) 1\/6 (b) g (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-2)\/(-10) - 297\/(-15) and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 4*g - 7 = 38, -63*v + 60*v = -g + 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3120 and 468.\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17a (base 13) in base 14?\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 g when three letters picked without replacement from {g: 16, q: 1, c: 3}.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 12:19 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5804?\nAnswer: 2, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 6*f - 3. Determine a(9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.4, -4, -3, -1\/3, -6594 in decreasing order.\nAnswer: -1\/3, -0.4, -3, -4, -5, -6594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -191438, -191445, -191456, -191471, -191490, -191513, -191540?\n\"Answer: -2*l**2 - l - 191435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) 5 (c) -16 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 9:09 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -131 + 131.83. Let p = 0.524 + -24.994. Let h = p - o. Round h to the nearest integer.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p**2 + p**2 + 0*p**2)*(5*p + 0*p - 4*p)*(0 + 2 - 3) + (2*p**2 - 5*p**2 - 4*p**2)*(0*p + 0*p + 2*p).\nAnswer: -22*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*o**4*p**2 - 29*o**4*p - 3*o**2*p**2 + 2*o**2*p + 13*p wrt o.\nAnswer: -96*o*p**2 - 696*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-6 + 6 + n)*(-41*n - 6*n - 11*n) - n**2 - 3*n**2 + 3*n**2)*(7*n - 4*n - 4*n) as a*n + c*n**2 + j*n**3 + b and give j.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 279726.16297972 + -10.16409972. Let j = r - 279659. Let v = j + -57. What is v rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -15\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1190 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5590919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 2*m**7\/105 + m**6\/15 - m**5\/5 - 4*m**4\/3 - 8*m**3\/3 + 15*m**2. Factor v(l).\nAnswer: 4*(l - 2)*(l + 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 35*i**2 - 2*i - 1. Let u be w(-1). Let a = u - 17. What is the remainder when a is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05722 rounded to three decimal places?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -773 - -1.111\nAnswer: -771.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 274108?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.528 - -10.528. Which is the nearest to -0.1? (a) -5 (b) -48 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 14*r - 45. Let h be b(-10). Let l(d) = -2*d**2 - 22*d + 10. Suppose 0*k = 3*k + 36. Let g(q) = q**2 + 9*q - 4. Determine h*l(j) + k*g(j).\nAnswer: -2*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 12. Suppose -r = f - 3*m, f - 2 + 1 = -m. Let t(b) = -2*b**2. Calculate t(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 467*p**4 - 290*p**2 wrt p.\nAnswer: 11208*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 17 - 4*y + 10 - 2100*y**3 + 10 + 0*y**2. Let s be b(1). Round s to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**3\/2 + 8250111*d**2\/2 + 5672023500969*d\/2 - 5672031751083\/2 = 0.\nAnswer: -1375019, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*y = 22 + 10, -y = -4*r + 110. Is (6626277\/r)\/17 - 1\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7300773?\nAnswer: 3, 173, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 6) + -9 - -18 - (0 + -4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 + -25. Which is smaller: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1183)\/182*((9\/(-1))\/1053 - (-2)\/(-9))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = -4*r. Suppose -2*v - r*j + 5*j + 57 = 0, -4*v + 169 = 5*j. Does 18 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 + y**2 + 3462*y**4 + 2 - y**2 + 2*y - 3466*y**4 + 7*y**3 in the form h*y + n*y**3 + a + t*y**2 + i*y**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 + 84*t**3 + 314*t**2 + 384*t + 152.\nAnswer: 2*(t + 1)**2*(t + 2)*(t + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/8*6\/(-9). Let f(h) = 7*h**2 + 5*h - 5. Let k(x) = -x**2 - x + 1. What is b*f(i) + 5*k(i)?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/3)*u**(1\/3))**(-6)*((((u*u**1)\/u)\/u)\/u)**(28\/9)*u**(4\/7)*u**(-6)*u assuming u is positive.\nAnswer: u**(-1105\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5501, 11102, 16713, 22340, 27989, 33666, 39377, 45128?\nAnswer: 50925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = a. Suppose 0 = -o - 4*h + 2*h - 4, a = o - 5*h - 31. Is 24 a factor of (0 - -4)\/(1\/o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 470716 divided by 7.\nAnswer: 470716\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(((z**(-1\/8)*z)\/z)\/z*z*z))\/(z*z**(-2\/9)))\/((z*z**4*z)\/z**(15\/2)) assuming z is positive.\nAnswer: z**(61\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-24)\/(-36))\/((-1)\/(-3)). Solve k - 3 = -4*g, -3*k - 11 = s*g - 0*k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 1\/40*b**5 - 1\/6*b**4 + 0 - 11\/12*b**3 - 3\/2*b**2 + 63*b. Factor a(z).\nAnswer: (z - 6)*(z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h**2 - 4. Determine n(-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48*g**3 + 13*g**3 + 8*g**3 + 72*g**3 - 18*g**3 + 101 + 3*g**4 + 14*g**2 wrt g?\nAnswer: 72*g + 738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 154 + -159. Let l(d) = 2*d**3 - d**2 - d - 1. Let n(g) = -11*g**3 + 10*g**2 + 13*g - 1. Let b(p) = m*l(p) - n(p). What is b(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of ((-1248)\/(-288))\/(1\/306)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2054 + -1823. What is the lowest common multiple of n and 231?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1480 is divided by 207?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 256\/14 - (-20844)\/(-1158)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 20, -1, -2\/11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -308, -397, -3 in decreasing order.\nAnswer: 1, -3, -308, -397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 0*m**4 - 1\/21*m**7 + 5\/336*m**8 + 1\/24*m**6 + 0*m**3 + 0*m + 0*m**5 - 13*m**2 + 0. Factor s(y).\nAnswer: 5*y**3*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/5103?\nAnswer: 1\/5103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jsiij. Give prob of sequence ss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 476738?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1299003*g - 15588034. Determine r(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rtr when three letters picked without replacement from {r: 5, p: 1, b: 3, t: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440 = 10*n + n. Let j = 45 - n. Solve j*w - 8 = -f + 4*f, -3*w = -3*f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrz when three letters picked without replacement from rrzllzcrr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 536*v**4 - 436*v**3\/3 - 3*v**2\/2 - 2906. What is the third derivative of o(q) wrt q?\nAnswer: 12864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -6*g + 108. Let z(c) = 30*c**2 - 120. Let d(k) = -12*k**2 + 50. Let m(o) = -12*d(o) - 5*z(o). Give x(m(i)).\nAnswer: 36*i**2 + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*k**3 + 0*k**4 + 17*k**3 + 2*k**4 - 5*k + 5*k + k**4 + (6 + 1 - 2)*(0*k**4 - 2*k**4 + k**4).\nAnswer: -2*k**4 - k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*b + v + 37, -4*b + 4*v = -60. What is the remainder when 22 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(324)*-2)\/((sqrt(300) - (-2*sqrt(300) + sqrt(300)))*6)*-2)**2.\nAnswer: 108\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -382191, -763848, -1145505, -1527162, -1908819, -2290476?\n\"Answer: -381657*t - 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.08 - 2.92. Let d = 5.7 - 5.2. Let u(o) = -o**3 - 10*o**2 + 24*o + 4. Let x be u(-12). Which is the second smallest value? (a) p (b) d (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1053093*b**3 + 219184*b**3 - 1458329*b**3.\nAnswer: -2292238*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 8*v**2 - 30*v - 28. Let c = 282 - -45. What is the remainder when c is divided by i(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**8\/r**4)\/((r*r*r**(6\/5)*r)\/(r\/(r**(1\/12)\/r))) assuming r is positive.\nAnswer: r**(103\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 15. Let j(a) = 2*a - 17. Let u(k) = 3*k - 19. Let r(w) = -6*j(w) + 5*u(w). Determine r(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**6\/60 + n**5\/60 - n**4\/6 - n**3\/3 - 1358*n**2. Let o(d) = -3*d**3 + 2*d**2 - 7*d - 5. Determine -7*c(z) + 4*o(z).\nAnswer: 2*z**3 + z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 3*a = -12*f + 1371, 1821 = 4*f - 3*a. What are the prime factors of f?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350626915 is divided by 184.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*g = 297*g - d + 5, 0 = -2*g - 4*d - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27820*q + 14400 = 28012*q for q.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 157150150 divided by -5\nAnswer: -31430030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z - 30. Let p be o(-12). What is the third derivative of -p*y**4 - 2*y**2 + 29*y**4 - 4*y**2 wrt y?\nAnswer: 264*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -436*z - 60582. What is j(-139)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14416 divided by -53\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 234 (b) -30 (c) 2\/5 (d) 313 (e) 2\/13 (f) 0 (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(6*((sqrt(128) - ((-2 + sqrt(128))*4)**2) + 3) + 3).\nAnswer: -3120*sqrt(2) + 12651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**2 + t - 2*t**2 - t to the form k*t + w*t**2 + n and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one sixteenth of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -878 - -873. What is the fourth biggest value in 5, 0.1, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 0 + 0*s - 21*s**2 - 1\/6*s**3 + 7\/24*s**4. Determine n(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18982*w**2 + 11*w + 18984*w**2 + 4*w**3 - 50*w + 2*w**3 - w**3 + 1 in the form l + j*w**2 + k*w**3 + o*w and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**3 + 0*p**2 - 4*p**2 + 2*p**2)*(-4 + 4 + p**2).\nAnswer: 4*p**5 - 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - j + 75. Suppose 3 = 3*f - j. Let k(c) = -c**2 + 8*c - 5. What is k(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2055502 (base 7) to base 16\nAnswer: -3cdb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 327958 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**6\/y*y)\/(y*y\/y**0)*(y**6\/y)\/(y*y**(-5)) assuming y is positive.\nAnswer: y**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 39965.182001+958\nAnswer: 40923.182001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j + 13. Determine f(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -990 = -610*b + 445*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 6:59 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/24 and 17\/57.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -8*u + 25. Suppose -3*t - b = 4*b, -u*b = -3*t. Is t at most 2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 30*s**2 + 16*s - 49. Let g be u(31). What is the second derivative of 3*h - 1408*h**2 - 21 + g*h**2 + 70*h**5 wrt h?\nAnswer: 1400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -45 (c) 89\/1931\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - (-29 - (8 + -10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u**4 + 292*u**3 + 3352*u**2 - 4900*u + 1250 = 0 for u.\nAnswer: -25, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6430688 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmm when three letters picked without replacement from {y: 5, v: 1, n: 3, m: 2, g: 1}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/3)\/(80\/(-20))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 4*s - 3*n + 4, -4*n - 12 = 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**2 + 655. Let y(m) = 40*m**2 + 1. Give n(y(a)).\nAnswer: 80*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/35364 and -69\/306488?\nAnswer: 919464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f**2 - f**3 - 5 + 3*f - 4*f + 5 as w*f + t*f**3 + h + o*f**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 11:42 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -329 - -336. Let r(g) be the third derivative of 1\/90*g**5 + 0 - j*g**2 - 1\/360*g**6 + 0*g**3 + 0*g - 1\/72*g**4. Factor r(c).\nAnswer: -c*(c - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469080916.\nAnswer: 2, 29, 59, 68539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(128))**2 + (sqrt(16)\/(2*sqrt(8)))**2 + (-3*sqrt(10)\/sqrt(5))**2 + 1 + sqrt(2) + (sqrt(2)*2)**2.\nAnswer: sqrt(2) + 2359\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 8*l**2 - 9*l + 4. Let n be t(-9). Calculate the smallest common multiple of (-5)\/10 + 34\/n and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 27*o - 122. Determine f(22).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1124 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 23*z + 8277 = 20*z, z + 16549 = 2*i. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -27*m**8\/28 + 57*m**7\/35 + 101*m**6\/12 + 32*m**5\/5 + 5*m**4\/3 + 35*m**2 + 15. Determine j, given that t(j) = 0.\nAnswer: -1, -2\/9, 0, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 7:40 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 9 - (5 - (3 - -4))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/955?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24112)\/924 + 22 - (-3)\/7.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11716823 divided by 14?\nAnswer: -11716823\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z - 72 = -2*d, -64*d + 2*z + 4 = -67*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6016)\/(-141) - 2\/(-6). Let b(q) = -q**3 + q**2 - 4*q + 4. Let x be b(-4). Let j = x - f. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3199.07307 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -67047 at most -67045?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-806)\/(-30) - (4 + (-434)\/105). Suppose 30*y - 2733 = o*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -796*j + 494*j + 5740114 = 0. Which is bigger: j or 19006?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9292276659682 - -1\nAnswer: 9292276659683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/5459?\nAnswer: -3\/5459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2741352154?\nAnswer: 2, 1370676077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o + 15. List the prime factors of a(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (30\/(-35))\/(6\/(-28)). List the prime factors of 2961\/12 - (-1)\/h.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/63 (b) -1 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13)\/((-1274)\/42) + 454453\/125034. Let o = -17\/687 + i. What is the common denominator of o and 67\/4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 11:16 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 5*z + 1. Let b be g(-4). Let s be 5\/10*(7 + 3). Suppose b*w - 50 = -s*a, 5*w + 2 + 3 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 - (8 + -1)) + 4. Solve -6 = -6*y + s*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 2*k - 3. Suppose 4*y + 16 = -3*h + 3*y, -h = 2*y + 7. Let b be z(h). Round b to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3*t**4 - 214710*t**3 + 4080228*t**2 - 24697530*t + 48322575 = 0.\nAnswer: -71589, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 3 + -5 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + 4 - 4)*(3*q - 14*q - q) as o*q**2 + n*q + f and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 303030 and 7085?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 4. Let t(f) = -f**3 + f**2 - f + 6. Let x be t(g). Let j(q) = q**3 + 5*q**2 - 5*q - 5. Let z be j(-5). Solve -l = -x*l - z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = o - 22, o - 338 = 4*v - 356 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -4, -5 in descending order.\nAnswer: 5, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -207*p - 1. Let k be w(-12). Let n = k + -1429. List the prime factors of n.\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x**3 + 50*x - 50*x)*(-2677 - 44*x**2 + 2677) + (-3*x + x**2 + 3*x)*(2*x**3 + x**3 - 2*x**3).\nAnswer: -307*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61475.1 - 2908.\nAnswer: -64383.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 43725918 to the power of 1\/2, to the nearest integer?\nAnswer: 6613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-4))\/((-455)\/120*810\/(-3510))?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(40) + sqrt(160))\/sqrt(8).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -33021 and -1067.\nAnswer: -34088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 94*a + 2. Let g(n) = -n**2 - 4*n + 12. Let b be g(-6). Suppose 2*r + b*m = -4*m + 6, m - 1 = 0. Is 34 a factor of d(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 114*w + 248. Give c(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -256 (base 10) to base 3.\nAnswer: -100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 401017497 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*n = 2. Let l be n + 1 + (-1 - -1). Sort l, -5, 3 in ascending order.\nAnswer: -5, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -75*k + 74*k for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 3 + 4)*(6*t**2 + 4 - 4)*(2 + 1 + 2) to u*t**2 + j + i*t and give u.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 q, and 1 g when three letters picked without replacement from {q: 1, j: 3, g: 1, m: 1, e: 5, p: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**3 + 8*m + 12 - 2*m + 61*m**2 - 59*m**2. What is the units digit of f(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 194 in 6.652, -5, -3, 0?\nAnswer: 6.652","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, i: 2, t: 3, h: 1, s: 1}. What is prob of picking 1 t and 1 s?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38021 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14218, -28433, -42662, -56911, -71186, -85493, -99838?\n\"Answer: -p**3 - p**2 - 14205*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2358.7338127792 and 2.\nAnswer: -2356.7338127792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -50*l + 4. Determine c(-2).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-8) + (-2)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) - 3*(-1*sqrt(76) - sqrt(76) - sqrt(76))) + sqrt(76) - sqrt(76))*-4)\/((sqrt(196) - (sqrt(196) - 2*sqrt(196)))*-5)*1.\nAnswer: 4*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 1 - (-47 - 1). Let l be (-18)\/8*(3 - m\/12). Suppose 0*t - 16 = 4*t. What is the smallest value in 0, t, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3184, -6330, -9468, -12592, -15696, -18774, -21820?\n\"Answer: s**3 - 2*s**2 - 3147*s - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 435996.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -61*f - 300. Let y be n(-5). Solve 8 = -4*k - 4*s, y*k + s + 23 = 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 469 - 469.0000263. What is k rounded to 6 decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1244959?\nAnswer: 59, 21101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 + ((-26)\/39)\/((-10)\/(-15)). Solve m*s = -9 - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 16*z**2. Let x(t) = -3*t. Let j(l) = -97*l + 3 - 3 + 89*l. Let g(n) = -6*j(n) + 17*x(n). What is w(g(u))?\nAnswer: 144*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1044\/2262*(-26)\/(-32).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m**(2\/9))*m**(-12)*m**14*m\/m**7 assuming m is positive.\nAnswer: m**(-38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -153 + 148.45. Let j = z - 0.13. What is j rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90430.\nAnswer: 2, 5, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1972 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -0.5 (c) -1\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -8*z + 28. Is 33 a factor of a(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 141\/12 - (-2)\/8. Let l be (-28)\/(-42)*o\/2. Solve l*z + 20 = -0*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1033 - -1029. Which is the third smallest value? (a) -1\/4 (b) 1\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -9153565?\nAnswer: 2746069.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 158 + 38 = 0. Let g = z + 414. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53649829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10760518 is divided by 288.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4737 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127 (base 13) to base 8.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 989, 3956, 8943, 15980, 25097, 36324?\n\"Answer: 5*z**3 + 980*z**2 - 8*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/2)\/c**(-11)*c**(2\/3)\/(c\/(c*c*c*c\/(c**(-1\/6)\/c)*c*c*c)) assuming c is positive.\nAnswer: c**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*h + 2283 = 226*h + 204 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h + 50. Let p = -14 + h. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(2\/7)*l)\/l)**18 assuming l is positive.\nAnswer: l**(162\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1204212 (base 5) to base 14\nAnswer: 8264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -374 - -559. Suppose -u = -6*g + g. Calculate the remainder when g is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -7. Suppose n*d + 14 = -b + d, 2*d = -10. What is the first derivative of -2 - 5*p**2 + b + 3 + 3*p**2 wrt p?\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of ((-1)\/(-3))\/(10\/270)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 175*k + 1435. What is the tens digit of g(62)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 - 5*a**2 - 2*a - 15. Let h be z(5). Let u(y) = -y**2 + h*y - 33 - 71*y - 60*y. What is the units digit of u(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/6393750 and -71\/33.\nAnswer: 6393750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16926 and 37394370.\nAnswer: 261760590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-28)*c)**(-4))**(2\/81))**(-38) assuming c is positive.\nAnswer: c**(-304\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/6 + (-11)\/6. Let g(h) = -22*h**3 - 2*h**2 - 6*h - 4. What is the hundreds digit of g(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8140 + -2340. List the prime factors of f.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k + 18*k - 32*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + 1)*-3 - (-3*(sqrt(180)*2 - sqrt(180)))**2) + 2*sqrt(405) + sqrt(30)\/(sqrt(6)*1) + 2.\nAnswer: -1621 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/45 and 66\/35?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-10)*-2*5. Let x be (8\/l)\/(2 - 4). Is -2 + 3 - x*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39042256.3 rounded to the nearest one million?\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + 5\/(-1) + -3. What is the common denominator of -21\/59 and (h\/(40\/65))\/(1\/(-3))?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (0 + 10 + -6 - (1 + 16))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 69, 3, -13, -4, -687 in descending order.\nAnswer: 69, 3, 0, -4, -13, -687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2174998*j + 16. Let c be o(8). What is c rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/28 - 278\/(-1946)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, -145, 4, -5, 7, -6 in ascending order.\nAnswer: -145, -8, -6, -5, 0, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 228*w**2 - 226*w**3 - 228*w**2 + (2 - 4 + 10)*(0*w**3 + 2*w**3 - w**3).\nAnswer: -218*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 12:58 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -320, -549, -762, -953, -1116, -1245?\nAnswer: -1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 - 9203590717877 + k - k + 9203590717877.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 50991*l**5 + 153477*l**4 + 52503*l**3 - 152469*l**2 - 103494*l - 1008 = 0.\nAnswer: -2, -1, -168\/16997, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 5:24 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -12*(11\/66 - 1). What is the greatest common divisor of 245 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 2*x + 31 = 8*p, -2*x = 0. Let w = -3 - -6. Suppose 2*v = -2*v + 16, -3*b = w*v - 180. Calculate the remainder when b is divided by p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 s when two letters picked without replacement from gzzszsggg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/7)*w)**(-31))**(-1\/83)*((w*w**(-1))\/w**0)**(1\/6) assuming w is positive.\nAnswer: w**(155\/581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13432145 by -5.\nAnswer: 2686429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 409 - -2654. Is (2 - g\/(-3))\/1 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 7 - 19 = -4*r, 0 = -5*u - 5*r + 30. Solve -3*y + 5 = -u*y + i, -6 = -3*i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 611 and 6016?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2010 - -2015. What is the fourth smallest value in -0.3, -1\/8, 115, b?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 + 12*g**2 + 11*g - 1. What is d(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 165 + -149. Calculate the remainder when j is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**4\/20 - 3*w**3\/10 + 2*w - 10. Factor z(v).\nAnswer: 3*v*(v - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 7*h**2 - 47*h + 43. What is the smallest common multiple of 8 and g(8)?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -87 - 8*x**3 + 86 - 2*x**3 - 2*x in the form a*x**3 + k*x + n + t*x**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17094 is divided by 17067.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -1\/4, -0.04?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4 - 8 = 0. Let v be 119\/17 + -2*a. Factor 0*b**v + b**3 - b**3 - 2*b**3 + 4*b**4 - 2*b**5.\nAnswer: -2*b**3*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, l: 5, a: 1}. What is prob of sequence lad?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j**2 + 12*j + 14. Let t(k) = 5*k**2 - 11*k - 11. Give -4*h(o) - 5*t(o).\nAnswer: -5*o**2 + 7*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -17*q**5\/20 + 2*q**3\/3 + 2*q**2 + 2*q - 899. Let a(r) = -357*r**3 + 85*r + 85. Determine -4*a(j) + 85*z(j).\nAnswer: -17*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -556940 by 2.\nAnswer: -278470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 6*q**2 - 82. Is p(-9) a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14982206 and 314634?\nAnswer: 2558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 93996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*j - 18, -5*d = 4*j + 169. Let n = 7 - d. What is the highest common factor of n and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1616777*f**3 - 4*f + 760977272 wrt f?\nAnswer: 4850331*f**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13514, -35666, -57820, -79976, -102134, -124294, -146456?\n\"Answer: -s**2 - 22149*s + 8636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-nine fifths of a centimeter?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.046 + 6.046. Which is the third biggest value? (a) 4 (b) -5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.92 (b) 5\/3 (c) 4\/7 (d) -0.2 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.2 and -9.49.\nAnswer: -20.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 42*v**3 - 2*v - 2. Suppose 4710 = -17*g + 4693. What is l(g)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 + -34. Suppose n - p + 42 = 0. Let o(x) = x**3 + 6*x**2 + 2*x + 5. Calculate o(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 d when three letters picked without replacement from {q: 2, d: 4, p: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -64*v. Let l(z) = -7*z - 2. Let m(r) = -14*r - 5. Let h(p) = -15*l(p) + 6*m(p). Let x(u) = -16*h(u) - 5*o(u). Let y(b) = 3*b**2. Calculate y(x(t)).\nAnswer: 768*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*0.131.\nAnswer: -0.1703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/10*(-60)\/(-8). Let p be c\/66 - (-2)\/11. Suppose 36 = 2*y - p*n - 5*n, -5*y + 24 = 4*n. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 9*a + 31. Calculate o(-13).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (149 - 87 - 90)*(7 - 3 - 2)*(-2 - 4 + 4)*(-24*m + 6 - 6).\nAnswer: -2688*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74837*h**3 + 4*h**2 + 24932198*h?\nAnswer: 449022*h + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 107357?\nAnswer: 2\/107357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4862 is divided by 2430.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*(1 + sqrt(2) + sqrt(50)) - 4*(sqrt(242) + 1*sqrt(242))**2).\nAnswer: -3873 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/3*(-24)\/20. Suppose -x = 6*d - 44. Let r be 75 - 9 - (1 - -2). What is the greatest common divisor of r and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0673100171 and -26.33?\nAnswer: 26.3973100171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.55256858 rounded to zero decimal places?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/(-6) + 1 + 24. Let w = g - 28. Suppose -2\/7*j**3 + 0*j - 4\/7*j**2 + w = 0. Calculate j.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -8*m**4 + 4*m**3 + 8*m**2 - 8*m + 2. Let p(u) = u**5 + 8*u**4 - 3*u**3 - 8*u**2 + 8*u - 3. Let b(k) = 2*p(k) + 3*x(k). Find d such that b(d) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in -8\/5, -1\/2, 1\/7?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 6 + 1)*(-5 + 155*r**2 - 1 + 6).\nAnswer: 2790*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 - 7*v**3 - 6*v**3)*(4*v - 6*v + 3*v)*(5*v + 37 - 71 + 20).\nAnswer: -65*v**5 + 182*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-81)\/(-3726)*1541*(-4)\/(-6).\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/7 and -68\/35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 a factor of 484824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -58369829*u**2 - 13728962?\nAnswer: -116739658*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -1\/2, 2\/5, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553118023?\nAnswer: 553118023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 56 (b) 0.02 (c) 3 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1876.32625 to 0 decimal places.\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 + 31 + 3*d**2 - 4*d**2 + d**2 in the form l*d + r + a*d**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 299, 315, 329, 341?\n\"Answer: -q**2 + 19*q + 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 6. Suppose t*l = 13*l - 25. Solve -8 - 2 = -l*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a - a**3 + a**2 - 2*a**2 + 5*a**4 - 3*a in the form f*a + r*a**2 + w*a**3 + u*a**4 + o and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 916*f + 1169*f - 11516*f to the form u + r*f and give r.\nAnswer: -9431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 14*p**2 - 23*p + 12. What is y(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 76\/7*n**2 - 10\/7*n**3 - 38\/7*n - 4.\nAnswer: -2*(n - 7)*(n - 1)*(5*n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/186 and -1\/1178?\nAnswer: 3534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 88*9701\/21538 + 4\/11\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -4b8?\nAnswer: 4b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, 81, 42, 4 in decreasing order.\nAnswer: 106, 81, 42, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 8 = -3*z + 2*w, 2*w + 32 = 3*z. Let m = -8 + z. Sort 4, 3, m.\nAnswer: m, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -221 + 217. Is -97 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**7\/24 - d**6\/180 + d**4\/24 + d**3 - 1. Let m(x) be the third derivative of c(x). Is m(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1\/4, -3\/1295, 4\/3, -35, -5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 0*z - 2 - 3*z + 37 - 37. Suppose -5*v + 1 = -6*v. Let t(d) = -15*d - 15. Let p(n) = n. Let w(x) = v*t(x) + 5*p(x). Give -15*f(o) - 2*w(o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-320)\/48 - ((-40)\/(-12) + -3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o - 7*o + 5*o)*(10*o**2 - 9*o**3 - 10*o**2)*(3*o + 3*o - 4*o).\nAnswer: 108*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22, -34, -44, -52, -58?\n\"Answer: p**2 - 15*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7755293 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: Let p = -27.4 - -27. Let y be 6\/36*(-12)\/(-9). What is the closest to y in -2, -1\/9, p?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 - s**2 + 3*s + 2*s**2 + 7. List the prime factors of t(-4).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.82559 rounded to 2 dps?\nAnswer: -1.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-6 + (4 - -15 - (20 + -10)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -107, -3, -2\/3, 0.4 in ascending order.\nAnswer: -107, -3, -2\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11296 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 6:34 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4697 = 4*b - 15577. Does 40 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*j + 29*j + 660 = 0 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 0.1, -4 in increasing order.\nAnswer: -4, -1\/2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -125*f + 128*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 26*p + 16 - 7 as y*p + a and give y.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -117, -329, -737, -1407?\nAnswer: -2405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.10521 and -0.0532404.\nAnswer: -0.1584504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3 = 0, 4*y + n + 165 = 2*n. Let g = y + 53. What is the second derivative of -73*s**4 + 55*s**4 - g*s - 16*s wrt s?\nAnswer: -216*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**3\/11 - 6522290*m**2\/11 - 13044574*m\/11 - 6522286\/11 = 0.\nAnswer: -3261143, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 42, 86, 130, 174, 218?\n\"Answer: 44*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -0.005, 1\/12, -10\/9, -2\/5?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10943080 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(2\/(2 + -4)). Suppose 5*u - 3*u + 8 = x. Is -5 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 106629 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1522 = 24*u - 1426 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-55 - (-20 + 42)) + -27\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 0, 1, 565?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/49 + 52\/147. Let l = 0.16 - 0.26. What is the closest to l in -4, v, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1418 + 227. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(88)*-2*-6*-1)\/((sqrt(1152) - (-4*(sqrt(1152) + (sqrt(1152) - 1*sqrt(1152))) + sqrt(1152)))*6).\nAnswer: 5*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58109982 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -812 + 816. Suppose -s = -1, -2*s = -3*q - 6*s + 76. Suppose g*w - 8*w = -q. What is the highest common divisor of w and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 6. Let m be j(-6). Suppose m = 3*b - b + 80. Calculate the smallest common multiple of (-3)\/2*b\/6 and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47*a - a**2 - 4*a**3 + 6*a**3 - 69*a wrt a.\nAnswer: 12*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -25*z + 26*z - 3*f, 9 = -3*f. Let w(r) be the second derivative of 35\/48*r**4 + 0 - z*r - 15\/8*r**3 + 5\/4*r**2. Solve w(j) = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135014543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a centimeter in millimeters?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10093 + 10093 = 2*g - 6*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -223114 (base 8) to base 9\nAnswer: -124311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 8 = -u + 2*u, -s + 29 = 4*u. Let q = u + -3. Let p = q + 20. What is the highest common divisor of 36 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*y**4 + 1189*y**2 + 39*y**6 + 80817*y**3 - 80817*y**3 + 3*y**6 wrt y.\nAnswer: 5040*y**3 + 168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 434 + -434. Sort 180, f, -1 in increasing order.\nAnswer: -1, f, 180","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2100.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 - 5 + 4)*(4 + 0 - 3) + 4 - 3 - 2)*(x - 15*x - x)*(3*x**3 + x**3 - 2*x**3) to the form l + c*x**3 + o*x**4 + n*x**2 + t*x and give o.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - c - 4. Let k be n(3). Let l = 7 - k. Which is bigger: 4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -609*a = -600*a + 378. Sort 3, -5, a.\nAnswer: a, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6*c. Let d = 4 + -9. Let q(y) = y**2 + 6*y. Let n be q(d). Let h(z) be the third derivative of z**4\/12 - 3*z**2 - 28. Give n*m(x) + 14*h(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 1:11 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.34, 0.05, 15, -3 in descending order.\nAnswer: 15, 0.05, -0.34, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - -3) + 10\/3. Which is the nearest to -1? (a) -5 (b) 3\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 135 in ascending order.\nAnswer: -3, 4, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 3*s**2 + s + 1. Suppose 9*q - 16*q = 21. Give l(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 76 - 39 - 26.\nAnswer: 2*p + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -907, -1812, -2717, -3622?\n\"Answer: -905*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 42*u + 8. Let a be z(0). Suppose -3*q + 310 = 2*l - a*q, 4*q = -16. Is l a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 363, 349, 309, 231, 103, -87, -351?\nAnswer: -701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3))**(-11\/5))**(-9) assuming j is positive.\nAnswer: j**(-297\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 15. Let u be -1*(-5 + 1\/1). Suppose 0 = u*w - 0*w. Is i(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77.2 + 0.8. Let x = 77.918 - c. Let f = x - -1.482. Which is smaller: -0.2 or f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 54 = 7*u - 2*n, -u - 5*n = 3. What is the remainder when 33 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*f = -3229 + 3706 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67150 by -25.\nAnswer: -2686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 - (-688)\/16) + 80 - 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 20.69 (b) 8 (c) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2. Let m(x) be the third derivative of x**6\/240 - x**4\/24 - 3*x**2. Let j(r) be the second derivative of m(r). Determine p(j(z)).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1296) - sqrt(1296)*2*5)\/(sqrt(12)\/(sqrt(4)*-2) + sqrt(3)*-1*-6).\nAnswer: -216*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*941.\nAnswer: -2823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.43486*148.\nAnswer: 1396.35928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/((-14)\/(-5) - 3). Let u = k + 48. Let j = -11 + u. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 373238.\nAnswer: 1\/373238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -135352 take away 4.46?\nAnswer: -135356.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2989 = -56*p + 14693. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 4. What is the derivative of -o*h**4 + 36*h**3 - 36*h**3 + 2 wrt h?\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-3)\/45*2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 4:18 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 7 - -2) + (4 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 3*p - 11, -12*p = -8*p + 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uepeuuhpueqqem. What is prob of picking 1 q, 1 h, and 1 m?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6\/(w**2*w)*w*w**(-4)\/w*w\/(w\/(w\/w**(1\/4))))\/((w**(-4)\/(w*w*w**(-4\/7)))\/(((w*w**(-1\/2))\/w)\/(w\/w**(2\/7)))) assuming w is positive.\nAnswer: w**(111\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -592, -639, -718, -829?\nAnswer: -972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114978 is divided by 1742.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.04298 * -21.\nAnswer: 42.90258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344*y + 11870 = -2922 for y.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 49 + 47 = 0, 0 = -2*q - 3*s - 4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 16*o + 2. Let t be x(-17). Let y(w) = -2*w - 1. Let n be y(-3). Let d be 1*-2 - (n + t). Solve -d = q + q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 1. Let u be q(-2). Suppose 76 = 2*i + u*i + 2*k, 5*k = -2*i + 22. Let t(f) = 8*f + 7*f - i*f. Let m(h) = 12*h. What is t(m(s))?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (7 - 38267\/(-17)) + -8*1?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 189511836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*t - 15*t = 416. Sort t, -1, -2 in decreasing order.\nAnswer: t, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4)*(0 - -2). Let y be -6*9\/6*g. Is (-318)\/(-2)*6\/y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2 (b) 0 (c) 1 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**2 - 2 + 2*x**2 + 0*x**3 - x**3 - 4*x + x. Let k be v(-2). Suppose 5*t + 1 = -4*r, -3*t = -5*r - 0*t + k. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1315620, -2631241, -3946864, -5262489, -6578116, -7893745?\nAnswer: -9209376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 43. Let t be (20\/z)\/((-1)\/(-5)). Differentiate 0 + t*k + 2 - 2*k with respect to k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 25*o**2 + 58*o - 176. Let n be s(27). Let m = 234 - 131. Let y = m + n. Calculate the remainder when 244 is divided by y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 6:24 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/208 and 59\/10?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632216 != 1632229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4528 and 15848?\nAnswer: 31696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1167*p**2 + 2346*p**2 - p - 20 + 4*p**3 - 1181*p**2 as v*p + z*p**2 + l + r*p**3 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 16*g**2 - 24*g + 100. Determine s(17).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*k**5 + 785*k**4 + 635*k**3 - 5405*k**2 - 8420*k - 3180 = 0. Calculate k.\nAnswer: -2, -1, -2\/3, 3, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -27 and -31 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -20. Let d = -10.6 - i. Let b be (2\/5)\/(32\/5 + -5). Sort d, -1\/7, b.\nAnswer: -1\/7, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.61536 rounded to one dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 5. Let r(v) = 3*v**2 + v. Let p be r(1). Let q be h(p). Let s = 11 + q. Sort s, -2, -5 in descending order.\nAnswer: s, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*i + 15 = 4*d, 5*d - 24 = -4*i. Suppose 2*w - 6*w = 8, 2*g - d*w - 12 = 0. List the prime factors of (g\/1)\/4*50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 551 - 515. Let g be 6 + 3 + (-1 - 2). What is the remainder when z is divided by g\/(-21) - 144\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 988.32991?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 5*k**2 + 4. Let y be z(-5). Suppose -2*m = -y*c + 1100 - 328, 4*c = 4*m + 780. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*p + 5. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 273 + 10*d**2 - 82*d**3 + 79*d**3 + 98 - 44*d**2 wrt d.\nAnswer: -9*d**2 - 68*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2. Suppose 26 = 5*r - 4. Suppose 4*u + 10 = r*u. Let i(a) = -a**2 + 0*a**2 - u*a**2. Determine i(j(q)).\nAnswer: -6*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**3 + 90*k**2 + 189*k + 96 = 0.\nAnswer: -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106293, 212580, 318867, 425154, 531441, 637728?\nAnswer: 744015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 5 = -10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 13*l**2 - 3*l. Let u be h(-13). What is the greatest common factor of 26 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, l: 1, j: 2, b: 1}. Give prob of sequence jjb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 85975848 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4267 - 1387 = -192*u for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - (-6 - -7)) + 88. Suppose -3*y = -5*s + 10, 2*y + 15 = -m*s + 93*s. Solve y*a + 17 = z, 0 = 3*a + 5*z + 1 + 26 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -11*c**2 + c. Let g be m(3). Let l = g - -207. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9 + -5.9. Let h = -837\/4135 + 2\/827. Which is the nearest to 1\/3? (a) -0.02 (b) h (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -15*z + 13*z + 10*z - 2*z**2 + 9*z - 2. Let i be x(8). Solve i*b - b = -20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-12) - 110\/3. Let x = -285\/8 - o. Let j be ((-2)\/(-3))\/((-2)\/15). Which is the smallest value? (a) -0.1 (b) j (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (1 + -13)) + 1 + (0 - -4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, a: 3, x: 4}. What is prob of sequence bxba?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10670.5957768596 + -1949801.9357788396. Let q = 1939127.44 + w. Let t = q + 3.9. Round t to seven decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25543, 51113, 76685, 102259?\nAnswer: 127835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -78 + 85. Suppose -c*t + 32 = -206. Calculate the least common multiple of t and 2.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a centimeter in micrometers?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*l + 53*l - 72 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**0*j)\/(j*j\/(j\/((j\/(j**(1\/5)\/j))\/j))*j))\/(j**(1\/13)*j*j**2*j))\/(j*(j*(j*j**(1\/4))\/j)\/j*j*j*(j*j**0*j*j)\/j)**7 assuming j is positive.\nAnswer: j**(-11083\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -17, 4, -5 in decreasing order.\nAnswer: 5, 4, -2, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 425 + 12?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 20. Let h be v(21). What is the greatest common divisor of h and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2 = -k, -3*k + 2*o - 2 = -8. Suppose -k*y + 5*i + 43 = 0, -5*i - 4 = y + 12. Solve 4*x - 2 = 2*v, x - y - 19 = -5*v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -3.2. Suppose -33916*m = -33980*m + 18 - 82. What is the closest to -2 in -5, t, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -299*r + 288. List the prime factors of t(-6).\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161918903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.043 - 100176276153\nAnswer: -100176276153.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*n + 65*n - 32103. Suppose -8*p - n = -5967. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392535 divided by 26169?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22134461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -2069 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i - 455 + 246 = 0 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641464668 is divided by 1348?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 1. Let w(g) = 3*g - 11. Let o(v) = -2*s(v) - w(v). Let a be o(12). Solve 8 + a = -3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 d when four letters picked without replacement from {i: 3, d: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.38 and 103.\nAnswer: 102.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -352 - -1722. What are the prime factors of k?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 122, 0 in descending order.\nAnswer: 122, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -181? (a) 2 (b) -2\/13 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*m + 3 + 12, 3 = v - 4*m. Suppose -i + 12 = -2*t - 6*i, v*i = -6. Let s(b) = b**2 - 2*b - 5. Let a(j) = 1. Determine t*s(z) - 5*a(z).\nAnswer: -z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.28 (b) 2\/11 (c) 25 (d) 3\/4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2 (b) -0.1 (c) 925 (d) 62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 345 divide 157962916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2. Let z(c) = c**2. Give -6*h(o) - 10*z(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 1, -307, 3, 25 in descending order.\nAnswer: 25, 3, 1, -2, -5, -307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = k + 9, -5*k - 4*w = 8 + 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*p - 3*m - 1 = 67*p + 7, 0 = 2*m + 12 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -s**3\/3 - 13*s**2\/2 - 49*s - 2846. Calculate j(-10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t + 4. Let h be x(4). Let r = -15 - h. Let a be (-8999)\/(-3) - r\/9. What is a rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/270093 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0155562881 to 4 decimal places.\nAnswer: 0.0156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 757369*c**2 + 949073*c wrt c?\nAnswer: 1514738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/7 - 2*p - 20\/7 = 0. Calculate p.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/91 + 29\/7. Let a = 2 + -3. Sort t, a, 1 in decreasing order.\nAnswer: t, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -815, -6572, -22295, -53000, -103703?\n\"Answer: -836*i**3 + 33*i**2 - 4*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h - 3. Let v be w(-3). Suppose -s + v = 2. Sort 0, 3, s.\nAnswer: 0, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 272.09 and -1393343.\nAnswer: -1393070.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -12, 2, 1\/5, 609\/4, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -324.27768?\nAnswer: -324.67768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 92 (b) 2.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24\/9)\/(11 + -12 + -13). Is -1 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 - 23. Solve 2*k = 4*t + b, 4*k - 10 = t - k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 3. Suppose 2*g = 5*a - 28, 0 = 2*a - g - 11 - 0. Let t(q) = -q**2 + a - 15*q + 5*q + 14*q. What is t(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, -4, -2, 52 in descending order.\nAnswer: 52, 0, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 6664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - 37 - (-230 - -148).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -494 + 474. What is the second biggest value in h, -1\/3, 0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/(-3) + 1)*-6. Suppose v - 7 = b, 47*b - 44*b + 22 = 4*v. Let u = b + y. Sort 5, -3, u.\nAnswer: -3, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30.1065 - 0.1065. Sort 3, 0.5, 0.3, l in descending order.\nAnswer: l, 3, 0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -176.8 times -4\nAnswer: 707.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2\/3 - 356*m\/3 - 352\/3.\nAnswer: -4*(m + 1)*(m + 88)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 748 = -338. Let n = f + -183. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/521 and -51\/7?\nAnswer: 3647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + 0)*-4 + sqrt(11) - sqrt(539)*2)**2.\nAnswer: 3179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3607*p + 3611*p + 3606*p - 10824*p + 11*p**3.\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 328*i - 324*i, 0 = o - 2*i + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.026 * 0.03\nAnswer: -0.00078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4605\/73 or 64?\nAnswer: 4605\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, y: 5}. What is prob of picking 3 w?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtqlttllfqttjltqtf. What is prob of picking 1 q and 1 j?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1, -0.7, -13, -5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 45105717757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.14961 - 99.\nAnswer: -98.85039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2 + 13 = z, 0 = 5*l + 5. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 990*s**4 - 4 - s**3 - 493*s**4 - 499*s**4 + 0*s**3 + 985*s**2 + 2 to c*s**3 + f*s + a*s**2 + v + t*s**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 6*d**2 - 7*d + 4. Let v(n) = -4*n - 17. Let x be v(-5). Suppose 0 = a - 0*a + 3, -5*a + 6 = -x*u. Is s(u) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -15*h - 2. Let r be m(-2). Round r to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 7*x + 9*x + 172040 = 0, -16 = -2*x. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 plus -8206.49197?\nAnswer: -8416.49197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Convert 1011010100100101 (base 2) to base 5.\nAnswer: 2440443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -18. Suppose -5*v - 6 = p. Which is the third biggest value? (a) -0.02 (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from {o: 13, l: 1, r: 2, t: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2130\/(-1775))\/(-2 + 146\/70)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 176827995?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i - 4*n - 92 = -282, -14 = -n + 16 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.00451 and -0.4.\nAnswer: -0.39549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s**2 + 4*s - 7. Let m(c) = -6*c**2 + 6*c - 10. Suppose 86*u - 79*u - 2555 = 0. Suppose 7*q + 400 - u = 0. Give q*m(j) + 7*g(j).\nAnswer: 2*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/3, 3, -4, 3.3, -2 in increasing order.\nAnswer: -4, -2, 2\/3, 1, 3, 3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11829003 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1356700?\nAnswer: 2, 5, 13567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8731.2 + -65530?\nAnswer: -56798.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 537, 2163, 4875, 8673, 13557, 19527, 26583?\nAnswer: 34725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -55. Suppose -2 = 2*u, -f + u + 2*u + c = 0. Find the common denominator of 2\/(-12) + 128\/f and 41\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 11789 = 2*o, -2 = 3*v + 13. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -4861\nAnswer: 4\/4861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*z + 0*z - 96 = 0, -5*z = 10. What is the highest common factor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(2240)*1 + sqrt(2240) - sqrt(2240)) + sqrt(35))\/(sqrt(25)\/(sqrt(5)*-1 - sqrt(5))).\nAnswer: 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x + 2. Let w be b(0). Let o be (4\/(-7))\/(w\/(-7)). Suppose -3*d = o*d - 15. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x + 2 - 2 + x - 2*x + 2*x + (-4 - 2 + 4)*(-2*x - 2*x + 3*x) - 34 - 3*x + 34.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4247 + -25337\/6. What is the common denominator of 26\/183 and n?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103985, 415951, 935895, 1663817, 2599717, 3743595, 5095451?\nAnswer: 6655285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99*p - 2 + 3 + 2*p**4 - 106*p - p**2 + 159*p - 2 to g*p**3 + m*p**4 + h + v*p**2 + i*p and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.05, -3, 4, -183\/7, 7, -4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*z + 5*z - z**2)*(-2 - 5 - 4 + (41 + 40 - 8)*(-2 - 3 - 2)) to the form j*z**2 + d + g*z and give j.\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72065 is divided by 1221.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + m. Let d(s) be the second derivative of s**3\/6 + 5*s**2\/2 + 3*s. List the prime factors of d(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 h, and 2 s when four letters picked without replacement from {s: 3, c: 6, l: 2, h: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(9\/(225\/10))*-1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/(-45))\/(21\/(-15)). What is the biggest value in 0.12, j, -2\/5, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in 6\/13, -17268, 4?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 7*r**2 + 17*r + 4. Let l be i(9). Suppose 3 = -5*h + 68. Calculate the remainder when h is divided by 46\/11 + (-159)\/(-33) + l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312307 is divided by 336?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x**4\/5 - 2266*x**3\/5 + 1294953*x**2\/5 - 12744144*x\/5 + 11451456\/5 = 0. Calculate x.\nAnswer: 1, 9, 1128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -246*d**2 - 16*d - 16. Suppose -3*j = -2 - 7. Let b(g) = -49*g**2 - 3*g - 3. Let l(w) = j*p(w) - 16*b(w). Is l(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 693 + -495. Let l = 202 - o. Solve -l*n = -4*f - 8, -4*f - n - 35 = 4*n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6390105*-1.61\nAnswer: -10288069.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from {s: 1, m: 2, n: 1, r: 1, e: 1, t: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 188036411 or 188036406?\nAnswer: 188036406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in seconds?\nAnswer: 25200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -6)*(-4)\/16. Let p = b + 13. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m**3 + m**2 + 7*m + 14. Let q(z) = 4*z**3 - 2*z**2 - 7*z - 13. Let j be (-3)\/6*2*0 + 5. Let v(o) = j*t(o) + 6*q(o). Calculate v(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*s**3 + 0)*(-2*s + s + 3*s) + 4*s**4 - 2*s**4 - 4*s**4 - 2*s**4 + 2*s**4 - 12*s**4 to d*s**4 + p + l*s + o*s**3 + v*s**2 and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 14*r - 1. Let v(w) = 2280*w**2 + 588*w + 42. Calculate 168*n(f) + 4*v(f).\nAnswer: 8952*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ana when three letters picked without replacement from afninaanaii?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a century in months?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 32*k**2 + 29*k + 85. What is m(33)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 6 + u - 4 + 9.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + -1 + 1 - 0. Suppose -w*j + 0*j + 24 = 0. Let h = j + 0. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 289 - 116 = 0. Let s = -18 + v. What is the lowest common multiple of s and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184199803 divided by -2.\nAnswer: 184199803\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83 + 87. Let o be -30*12\/(-4) + -3. Suppose -s*n = 7 - o. Calculate the lowest common multiple of 92 and n.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 8*o + 3*o. Solve -4*l + 12 = -o*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 + 4. Let f(b) = -1. Calculate 12*f(w) + k(w).\nAnswer: 2*w**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -152964*b**2*p**2 - 49*b**2 + b*p**2 + 3*b + 4*p**2 - 35*p + 5804 wrt b?\nAnswer: -305928*p**2 - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12101021201 - -20122?\nAnswer: -12101001002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3600993 kilograms to nanograms.\nAnswer: 360099300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(136) - sqrt(136)*-1)*-5)\/(sqrt(24)\/(sqrt(6)\/sqrt(2)) + 4*(sqrt(8) - (sqrt(32)\/sqrt(4) + sqrt(8)))))**2.\nAnswer: 42500\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5*i = 47, -14*i + 4 = o - 13*i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4656 + 2?\nAnswer: -4654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54243740 by 4.\nAnswer: -13560935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r. Let c(z) be the second derivative of -z**4\/8 + 5*z**2 + z. Let f(d) be the first derivative of c(d). What is p(f(w))?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 67. Let x(k) = -2*k - 4. Let t be x(-6). Let v = b - t. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-996)\/84 - 11) + -12*17\/(-1428)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13.06378003+3973\nAnswer: 3959.93621997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4280 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 46512670*b + 15498463 wrt b?\nAnswer: 46512670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 4:03 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -248*s**3 - 11*s**2 - 18*s - 11. Let a(t) = 229*t**3 + 11*t**2 + 18*t + 11. Let l(g) = 13*a(g) + 12*i(g). Calculate l(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -108*l**3 - l. Let n be g(-1). Suppose 5*c - n = 21. Calculate the remainder when 51 is divided by c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 6:51 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/124 - 23\/31. Let s be 213\/(-84) - (-24)\/16. Let m = s - p. Which is the third smallest value? (a) 0 (b) m (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 714948.1 days?\nAnswer: 61771515840000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10850247, -10850304, -10850361, -10850418, -10850475?\n\"Answer: -57*a - 10850190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 16 - 10 + 14*a - 3. Determine u(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -51995, -52035, -52087, -52157, -52251?\n\"Answer: -r**3 - 33*r - 51961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3562*t - 5455*t - 6670*t + 1486*t as o + f*t and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2452*r**3 - 10*r**2 - 5*r. Let q(f) = -1781381*f**3 + 7266*f**2 + 3633*f. What is 5*q(s) + 3633*v(s)?\nAnswer: 1211*s**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 251*b*r**4 - 14*b*r**3 - 4*b*r**2 + 5*b*r - 2938969*b + 760*r**3 + r**2 wrt r?\nAnswer: 6024*b*r - 84*b + 4560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -3\/7, -491\/2, 18 in increasing order.\nAnswer: -491\/2, -2, -3\/7, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (366*m**3 - 145*m**3 + m + 20*m**3)*(m + 1 - m + m).\nAnswer: 241*m**4 + 241*m**3 + m**2 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, c: 7}. What is prob of sequence cnn?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10*(169\/26 + -7). Let c = -1 + 6. Suppose 2 + 16 = g - 2*m, c*g - 65 = s*m. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 64*t. Let d(f) = -586*f**2 + 3*f + 6. Give g(d(h)).\nAnswer: -37504*h**2 + 192*h + 384","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*d - 36 = 7*p, 0 = -p + d - 4. Calculate the lowest common multiple of ((-2)\/p*-1)\/((-2)\/16) and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/6 - 84\/(-9). Let r = -3 + s. Calculate the remainder when 25 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -684 - -1520121?\nAnswer: 1518326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 87866 divided by -4\nAnswer: -43933\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 4 - 1 - (-5 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 3*o**2 - 3*o. Let v be z(-2). Suppose -4*w + 3*y - 27 = 0, -w = -v*w - y + 2. Let g(r) = 8*r**2 - 2*r + 1. Is g(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 9:32 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 272, 271, 270?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/109164 and -35\/2?\nAnswer: 109164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 27*g**3 + 14*g**3 - 9*g + 2 + 16*g**3 = 0. Calculate g.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 - 3*j**2 + 1 + 11*j**3 - 3 + 6*j - 16*j**3. Let w(z) = -z**3 - 2*z**2 + z + 1. Let n(i) = 2*v(i) - 4*w(i). Factor n(u).\nAnswer: -2*(u - 2)*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 8804*k**2 - 11012082*k - 2804973480.\nAnswer: -2*(k + 340)*(k + 2031)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, l: 4, e: 1, t: 2}. Give prob of picking 1 t and 2 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-30))\/(2\/(-16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -279 (base 10) to base 3\nAnswer: -101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3\/4 + 212401*j**2\/4 + 8922165*j\/4 + 93687363\/4 = 0. What is j?\nAnswer: -21, 212443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t + 22 = 30*t. Solve -2*x - 2*x + t*c = 0, 3*c = 3*x - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -3. Let x be (6 + 25\/(-4))*2. Let g be 2*(-5)\/390*(7 - 4). What is the nearest to x in g, q, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 3, 867850 in increasing order.\nAnswer: -45, 3, 867850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 5 = 3*j. Let r(n) = 1. Let m(x) = -x - 1. Let g = -2 - -1. Let q(c) = g*m(c) + j*r(c). Let i(p) = p**2. Determine i(q(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -2be?\nAnswer: -2bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(((sqrt(637) + -3 - sqrt(637)) + -5 - sqrt(637)) + sqrt(637)*2 + sqrt(637) + 5 + 3))**2.\nAnswer: 63700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d**2 - d - 1. Let r be z(-1). Suppose -r*k + 8*k = 8. What is the derivative of k*y**3 - 6*y**3 + 2 - y**3 + 1 wrt y?\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.37983 weeks to milliseconds.\nAnswer: 49823321184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191854*u**3 + 210425*u**3 - 402280*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 11 + -15 - (0 - 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) 17\/3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.1 - -127.9. Let g = 137.5 - h. Which is greater: g or -1.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*b + 14*b**3 + 23*b + (6*b - 7*b + 26*b)*(-2*b - 4*b + 3*b)*(-3*b - 1 + 1) + (2*b**2 + 2*b**2 - 3*b**2)*(3 - 3 + b).\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 r when two letters picked without replacement from {u: 5, r: 1, p: 3, a: 1, b: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 x when two letters picked without replacement from {o: 6, x: 4, y: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 55255 divided by 1285?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 2)*(4*i - 46*i - 37*i).\nAnswer: 237*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/2*(-40)\/260.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 7)*28\/16\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -1\/15*b**5 + 2*b - 1\/180*b**6 + 7\/3*b**3 + 0*b**2 + 0 - 1\/3*b**4. Let h(w) be the second derivative of c(w). Factor h(f).\nAnswer: -2*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9991, -9985, -9977, -9967, -9955, -9941, -9925?\n\"Answer: x**2 + 3*x - 9995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 5*k + 59. Let w(i) = -i**3 - 19*i**2 - 17*i + 19. Let j be w(k). Find the first derivative of 4 - 7*s + 5 + j + s wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**4\/7 - 28576*d**3\/7 - 45537140*d**2\/7 + 20148241432*d\/7 = 0. Calculate d.\nAnswer: -3751, 0, 358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32755, -32730, -32697, -32650, -32583?\nAnswer: -32490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 19700?\nAnswer: -1\/9850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 - -54. Which is the second biggest value? (a) j (b) -7\/5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20904, -83664, -188276, -334740, -523056, -753224, -1025244?\n\"Answer: -20926*x**2 + 18*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 977 (c) -0.3 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = 7*l + 39. Suppose n + 59 = 3*c - 4*n, -3*c + 2*n + 65 = 0. Which is greater: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -2*j - 23, -4*o - 3*j - 2*j = 15. Let i(b) = 6*b**2 - 3*b**3 + 5 + 0*b**3 - b**3 + 5*b**3 + 5*b. What is i(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 153098156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -15*p + 1\/30*p**5 + 0*p**3 + 1\/18*p**4 + 0 + 0*p**2. Factor z(l).\nAnswer: 2*l**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 6\/5, -4\/7, -21.7, -10 in decreasing order.\nAnswer: 13, 6\/5, -4\/7, -10, -21.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {r: 4, d: 4, n: 7}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1510980.15 and 0.305778.\nAnswer: -1510979.844222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4324) - 0) + (-3322)\/(-152812)?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302988.\nAnswer: 2, 3, 7, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*v**3 - 581*v**3 - 381*v**3 - 844*v**3.\nAnswer: -1679*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*q**5\/9 + 105220*q**4\/9 + 7499306*q**3\/3 + 1142988208*q**2\/9 - 459898400*q\/9 + 5120000 = 0. Calculate q.\nAnswer: -100, 1\/5, 2304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 26 + 3 - (-70 - (34 + -204))\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 743 is divided by 98.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1973 - -2920. What are the prime factors of x?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1944.58cm to kilometers.\nAnswer: 0.0194458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1196143.782 to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (16 - 31 - 49) + 16.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11631728*v**5 + v**4 - 12163937*v**2.\nAnswer: 697903680*v**2 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 244 and 4062600?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 562527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*g + 1080*p - 1075*p, -g - 12 = -2*p. Let q(o) be the second derivative of -6*o + 0 - 6*o**3 + 15\/2*o**g. Differentiate q(z) wrt z.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 332198, 664311, 996418, 1328519, 1660614, 1992703, 2324786?\n\"Answer: -3*o**2 + 332122*o + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen quarters of a meter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1442 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 9 = s - 15, -2*s = -4*d - 16. Calculate the lowest common multiple of 1 - (4\/12 + 20\/(-15)) and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7552 divided by 783?\nAnswer: -7552\/783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - 1 + 1 + (15 - 5 + 3)*(-2 + 2 + i**2) - 4*i**2 + 3*i**2 + 3*i**2)*(-1 + 2 - 4).\nAnswer: -42*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 1. Let s(p) = p - 8. Let h = 5 + 13. Suppose 17*t = 7*t + 540. Suppose 0 = -8*r + t - 38. Calculate h*o(c) + r*s(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2287859?\nAnswer: 7, 46691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -13.314 greater than or equal to -4\/2605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 394, 440, 476, 496, 494, 464, 400?\n\"Answer: -y**3 + y**2 + 50*y + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 68*m**2 - 50*m - 38. What is the units digit of s(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 10) to base 9.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8085527 is divided by 498?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10, d: 10}. Give prob of picking 3 n.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t = -16. Solve -r = 3*r + t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(4\/9)*a)\/a)\/a**(1\/4) assuming a is positive.\nAnswer: a**(43\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-10))\/(81\/54). Which is the fourth biggest value? (a) 7 (b) -3 (c) r (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 12112206.\nAnswer: 1\/2018701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -161558 - -355571. Suppose 12*r = -33441 + d. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003976 rounded to 5 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (10 + -16) - (33 + -46) - 78?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 - 224*d**2 - 440*d.\nAnswer: -2*d*(d + 2)*(d + 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 958.45, -3\/5, -193?\nAnswer: 958.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 632*l + 628*l - 9 = 0, 292 + 12 = -b - 56*l - 45*l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97233377*n**2*v**2 - 530946*n*v**2 - 25*n*v - 7*v wrt n?\nAnswer: -194466754*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14588074 and 0.7.\nAnswer: -10211651.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.44718 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*l = 65*l + 396. What is the highest common factor of l and 638?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w + 90 = -5*w. Let b(n) = -11*n**2 - 7*n + 4. Let v be 2\/(-3)*6*-1. Let f(u) = 0*u - 5*u**2 - 3*u - v + 6 + 0*u. Give w*f(s) - 4*b(s).\nAnswer: -s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000111101011011110 - -11010?\nAnswer: 101000111101011111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*sqrt(2)*6 - (sqrt(72)*-3 + -2 + sqrt(128))**2.\nAnswer: -204 + 104*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2021 is divided by 119.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43523, -177034, -399557, -711092, -1111639, -1601198, -2179769?\nAnswer: -2847352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -12, -s + 2*s = -5*n - 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 2*m**2 - 4*m. Let h be z(3). Let o be -1 + (-3)\/(-2) - 2. Is o at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 1:58 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**3 + 16*i**2 - 4*i - 7. Suppose 4*h - 16 = 0, 3*h + 5 = -w + 6*h. Let x(n) = n**3 + 5*n**2 - n - 2. Determine w*x(j) - 2*k(j).\nAnswer: 3*j**3 + 3*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**4 + 6*o**3 - 12*o**2 - 24*o = 0. What is o?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 459*y = 271*y + 244*y + 672 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n + 4. Let o(x) = -21*x + 23. Let b(r) = -o(r) + 4*w(r). Let z(v) = 8*v - 6. What is 5*b(y) - 6*z(y)?\nAnswer: -3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40467788?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**3 - 5 + 5 - 19821*f**2 + 19821*f**2.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.24176 and -3.\nAnswer: 0.72528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3267, 3545, 3843, 4161, 4499?\nAnswer: 4857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 650 + -5?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29594789 is divided by 163?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -961224555, -961224554, -961224553, -961224552, -961224551?\nAnswer: -961224550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/28884 and 37\/5220.\nAnswer: 433260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 50, 51, 52, 53?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1155 (base 6) in base 10?\nAnswer: -287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)*-2*3)\/(-1*sqrt(9)*6) + -3.\nAnswer: -3 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 812, 1707, 2646, 3629?\nAnswer: 4656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + u - 0*u + 51, 0 = 2*p + 3*u - 39. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 - 5. Suppose -5*u + 5*a - 45 = 0, 3*u + 4*a - 1 = -v. Let h(x) = -x**2 - 10*x - 7. Let z be h(u). Calculate the greatest common factor of 18 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9772*s - 552 = -9703*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6924743?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22612 is divided by 7517.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (3 + 1)\/4. Sort -5, 4, p.\nAnswer: -5, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 3. Let v be f(8). Suppose 4*g - 13 = -v. Suppose 4*l - 22 = 3*y + 27, 0 = -g*l - 3*y + 11. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/544 and -83\/2992.\nAnswer: 5984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 9*x + 5*g + 17 = 0, 0 = -3*x + 5*g + 14. Solve -39 = 7*k + x for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 323 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2832 or -3077?\nAnswer: -2832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43196, -86394, -129592, -172790, -215988, -259186?\nAnswer: -302384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -100021013 (base 4) to base 10\nAnswer: -66119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 453*0.1.\nAnswer: 45.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -105, -270, -489, -756?\nAnswer: -1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 1 + 5*r + 1.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 + 4 - 4 - 2*l**2 + 2*l**2 - 6*l**2 + (3*l - 4*l - l)*(3 + l - 3) - 4*l**2 - l**2 + 4*l**2.\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3\/14, -1\/10, 2, -3\/8, 5, -15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1147*w**2 - 59*w + 188. What are the prime factors of l(6)?\nAnswer: 2, 20563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1376 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11.307 from -26.2697.\nAnswer: -14.9627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 3452*s + 14 - 1272*s - 4294*s.\nAnswer: -9018*s + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r. Let t be (-19)\/57 + (-5402)\/(-6). Let v(h) = 899*h**3 + 2*h**2 - 2*h + 1. Let s be v(1). Let w(o) = s*o - t*o + 33*o**2. What is w(i(y))?\nAnswer: 33*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 873497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-1) + 35 + 0. Let a be (7 - 4) + (-2 - (1 - 2)). Suppose -l = a*u - 4*u. What are the prime factors of u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24, 112, 254, 450?\n\"Answer: 27*n**2 + 7*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**7\/1680 - d**6\/160 + d**5\/40 + 13*d**4\/12 - 15*d. Let m(k) be the third derivative of x(k). Factor m(b).\nAnswer: 3*(b - 2)*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {a: 1, r: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11419 + 1541 = 10*v. Let d = v + -738. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -11*b + 2. Let k be ((-192)\/68 - -3)*17. What is t(k)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -126 + 1141. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3026.\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-4) + 6\/(-12). Let z(o) = 11*o**2 - 2*o - 3. Let j be z(v). Suppose 2*g = -3*g + j. Solve 1 = -4*u + g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*s = -394. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -262*p - 699 wrt p.\nAnswer: -262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjhd when four letters picked without replacement from rddjjjrdjddjrdrh?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 40\/(-12) + 2 - 230\/(-6). Suppose -7*y - 5*r - z = -9*y, y + 4 = -2*r. Solve 4*q = q - y for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/(1\/(-3) - (-58)\/120) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2237228 to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -3) + -2 - 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**2 + 9*q**2 + 0*q + 0*q.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1415326 (base 8) in base 5?\nAnswer: -100300321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -18\/17, -9468?\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccovkvveoookex. Give prob of sequence cc.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -4*r**3 - 184*r**2 - 2560*r - 9600 = 0.\nAnswer: -20, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 58320 to the nearest one thousand.\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzjf when four letters picked without replacement from zjnmf.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 + 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2196740 divided by 168980?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 137 - 118. Calculate the remainder when 169 is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 16*j**2 - 2*j + 5. Determine l(16).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2666123*t - 15996740. Determine d(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -3*u**2\/2 - 7*u + 1. Let s(m) = -m - 1. Let w(d) = c(d) - 6*s(d). Differentiate w(y) with respect to y.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 832 and 238888?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18391808 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = r + 5 + 4, -10*b + 8*b - 2*r = 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 383*c**4\/3 + 17*c**3\/6 + c**2\/2 + 85*c. What is the hundreds digit of b(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -2.5. Let f = -1156.12 - -1199.12. Which is the third smallest value? (a) o (b) f (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**4*v**3 - 7704*h**3*v**3 - 71522*h*v**3 wrt h.\nAnswer: 24*h**2*v**3 - 46224*h*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ld when two letters picked without replacement from {d: 1, p: 3, l: 1, x: 2, g: 3, f: 9}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690765603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**5 + 4312*b**4 + 360156*b**3 + 7988840*b**2 + 5523584*b - 45952896 = 0.\nAnswer: -989, -44, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = 3*o + 8*k, -121*k + 119*k + 54 = -2*o for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 2*z**2 - z**2)*(136*z**3 + 164*z**3 + 98*z**3 + 4 + z**2 - 4 - 4*z**3 + (-6*z + 3*z + 4*z)*(z**2 - 4*z**2 + 4*z**2)).\nAnswer: -395*z**5 - z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v - 6480 + 1583 = 1750. Solve -4*y = v - 261 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002144678 to six dps.\nAnswer: 0.002145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a15 (base 14) to base 16.\nAnswer: -7bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 0. Let x = 3.9 + -3.6. What is the closest to 0 in -4, x, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -85*q + 101. What is s(3)?\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110011111101000 (base 2) in base 7?\nAnswer: -1030103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -556.3 - -537.36. Is t <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h. Let v(a) = -21*a**2 + a. Determine w(v(u)).\nAnswer: 42*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-36))\/((-322)\/368)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 971*r - r**2 - 971*r. Let m(w) = 4 + w - 4. Calculate f(m(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3*q + 16 = 0, -q = -4*v + 4*q + 54 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1062199 is divided by 42.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1758 - -1815.05. Round f to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m**3 - 76*m**2 + 76*m**2 - 47*m**3 + 41*m**3.\nAnswer: -22*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9847.574 or -0.7?\nAnswer: -9847.574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/4))**(-20\/11)*(c*(((c**(5\/4)*c)\/c)\/c)\/c)**44 assuming c is positive.\nAnswer: c**(136\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 13 - 1 = 0. Let t = 23 + m. Let x be 2\/((-6)\/(-101)) - (-3)\/t. What is the greatest common divisor of 17 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**8\/80640 - i**5\/15 + 5*i**2. Let g(b) be the third derivative of w(b). Suppose g(v) = 0. What is v?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/6)\/(-3)*-4. Suppose -i*o = -0*o + y - 20, -y - 40 = -3*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a**3 - a**2 - 2*a. Let z(h) = -8*h**2 - 118*h + 29. Let x be z(-15). Determine r(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 8022 + 8014 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14985, 29981, 44983, 59991, 75005, 90025?\n\"Answer: 3*f**2 + 14987*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 11457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 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: What is prob of picking 1 a, 1 p, and 2 r when four letters picked without replacement from {r: 3, v: 4, p: 2, a: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 9*s + 2. Let a = -12 - -14. Suppose -a*l - k - 17 = 0, -3 = l + k + 5. Calculate z(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -83*c**4\/6 - 20338*c**3 - 121779*c**2\/2 + 166*c\/3 + 81186 = 0. Calculate c.\nAnswer: -121779\/83, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/((v\/(v*v**(-6\/7)*v))\/v*v))\/v**(2\/15))\/((v*v\/(v*v**(-10)))\/((v\/v**(2\/19))\/v)) assuming v is positive.\nAnswer: v**(-18146\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 192, 368, 600, 888?\nAnswer: 1232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 2. Let y be t(1). Sort 4, -8, y, 2 in ascending order.\nAnswer: -8, y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-513))\/((-343)\/1862)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, -5, -56.\nAnswer: -56, -5, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 0.9. Let s = 0.8 - r. What is the third smallest value in 4, 4\/7, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170 >= 953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26414 less than -420825.86?\nAnswer: -420826.12414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*h = 11, 5*h = -5*a + 25 - 15. Calculate the remainder when 29 is divided by 2641\/266 + a\/(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1996\/60 - (14\/6 + -2). Let o = 717\/20 - d. Calculate the common denominator of o and ((-95)\/3)\/((-6)\/9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*r + 32 - 0, 5*r = -2*t + 80. Let g(u) = 2*u - 2. Calculate the remainder when r is divided by g(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuhuhhhuhhhhuhhuhuh. What is prob of sequence hu?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*h**2 + 0)*(-50 - 6*h + 50).\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7702*i = 7696*i - 15449*i - 1315 + 7180 for i.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2571.706 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 5. Let m be 2\/((2 - g) + -2). Let c(d) = -2 - 3 - 3*d + 6. Determine c(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**3 - 7*g**3 + 2*g**3 + (-g + 0 - g + 2)*(-g**2 + 3*g**2 + 0*g**2).\nAnswer: -14*g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.3636 to one dp.\nAnswer: -25.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/1*0 + 3. Let k(y) = -9*y**3 - 16*y**3 - y**2 + 17*y**n + 1. Let b be -2 + 2\/((-2)\/(-3)). Give k(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1701 (b) -3\/7 (c) 2\/7 (d) 2\/9 (e) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 62. What is the least common multiple of 1\/(-3) + 96\/(-36) + (-96)\/(-2) and p?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-2))\/(r\/(r*r\/r**5*r)))\/(r**4\/(r*r*r\/r**9)) assuming r is positive.\nAnswer: r**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(17) + -3*sqrt(612))**2 + sqrt(2448) + -2) - (sqrt(1377) + -5 + -1 + sqrt(1377) + (3*sqrt(51)*-2)\/sqrt(3)).\nAnswer: 12*sqrt(17) + 9828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/87 in -0.2, 1, 13, 0, -0.08?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, y: 4, k: 1, x: 1, l: 4}. Give prob of picking 1 y and 1 k.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4290 = 5*y, 4084 = 2*r + 5*y - 4571. Does 17 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-two fifths of a week?\nAnswer: 84672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c + 112. Let b be u(0). Let k be ((b\/(-21))\/(-8))\/(1\/15). Solve -k = -5*r + 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) -0.09 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6739317 divided by -9.\nAnswer: 748813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 6 - 5) + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 1, 0.11, -6\/19, -3\/2, 347?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 258 + -500. Let d = 259 + b. Solve -2*c - 2*c - f = -23, -4*f = c - d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q. Let z(r) = -2841*r. Determine t(z(y)).\nAnswer: 5682*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-50)\/(-15))*(2 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154.6*0.09478.\nAnswer: -14.652988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.4, -3\/46, 8?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 595075861?\nAnswer: 595075861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 188112 by 48.\nAnswer: 3919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73504 is divided by 86.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/15 - (0 - 1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 2\/3, -2\/3, -163.72, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(84)*-2 - -4*sqrt(84)*1)\/(-1*sqrt(24)\/(sqrt(2)*-6)).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + -4 - 2*3. Let t(m) = -m**3 - 5*m**2 + m + 7. Let k be t(v). Suppose 6 = 5*f - k*n, -4*f - 2*n = -4 - 8. Solve -4 = f*c + 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -22 (c) 7898\/3 (d) 2\/313\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5866, -11742, -17618, -23494, -29370?\n\"Answer: -5876*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2452*b**2 - 3*b. Let o(f) = 12*f. Calculate l(o(w)).\nAnswer: -353088*w**2 - 36*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 374?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -1111?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 0*h**2 + 12*h + 1\/3*h**3 + 1. List the prime factors of a(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 83*s - 38 + 39 - 245*s + 84*s + 79*s. Let b = 8 - 6. Let f(n) = 36*n + 30. Calculate b*f(u) - 60*w(u).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10764, -21459, -32188, -42957, -53772?\nAnswer: -64639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -197208.16 rounded to the nearest one thousand?\nAnswer: -197000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 227 + 180*f**2 - 227 in the form m + k*f + l*f**2 and give l.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/(16116\/(-19987)) - 62?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*c**2 - 7*c**2 - 6*c**5 + (-13*c**3 + 12*c**3 + 9*c**3)*(0*c**2 + 19*c**2 + 7*c**2) + c**4 - c**4 + 2*c**5.\nAnswer: 204*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1287*r + 5495 - 374 = 420*r. Let -1\/4*w**r - 1\/2 + 7\/4*w + 1\/2*w**4 - 3\/2*w**2 = 0. What is w?\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.7 or 27953.5?\nAnswer: 27953.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*x = 245, 0 = -3*p - p + 3*x + 193. Let c = -43 + p. Solve -d - 19 = 5*b, c*b + 8 = -b + d for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + o = 36. Let v = o - 106\/3. Let d = 0.04 - 2.04. Sort d, v, 5 in decreasing order.\nAnswer: 5, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 357154.3 millennia in decades?\nAnswer: 35715430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*s = -78736, -6*s = -4*w - s + 157400. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 w, and 2 n when four letters picked without replacement from {w: 5, x: 2, n: 8}?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 29*o + 435. Is 42 a factor of r(27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1703*x + 3990162 - 1703*x - x**2.\nAnswer: -x**2 + 3990162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -410 + 412.93. Let y = h - -0.07. Let p = 101\/4 + -25. Which is the closest to y? (a) p (b) 5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61879867*n**2*t**2 - 34942*n**2*t + 2*n**2 - 7*n*t - n + 6 wrt t.\nAnswer: 123759734*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 5*v**2 + v - 8. Let p be o(-6). Let l = -10 + p. Find the second derivative of l*s + 4*s**5 + 4*s**5 + 2*s wrt s.\nAnswer: 160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 - 780*b + 13504.\nAnswer: -4*(b - 16)*(b + 211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14d (base 15) to base 8.\nAnswer: -452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 33, 125, 375, 861, 1661, 2853, 4515, 6725?\n\"Answer: 13*z**3 + z**2 - 2*z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3455 - -3455. Let x(f) be the third derivative of a*f**3 + 0 + 0*f - 5\/6*f**4 - 6*f**2 + 1\/12*f**5. What is z in x(z) = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59963.94 kilograms to micrograms.\nAnswer: 59963940000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1274827 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 34*w**2 + 6 + 23 + 8 - 288*w**2.\nAnswer: -254*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + -20 - (-1 + 28 - 13)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -291 and 4.\nAnswer: -1164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n. Let r(t) be the third derivative of t**5\/60 - 7*t**3\/3 - 7*t**2. Let s(l) be the first derivative of r(l). Calculate s(a(p)).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26, 56, 86?\n\"Answer: 30*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 58, 4996, 2 in increasing order.\nAnswer: -26, 2, 58, 4996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s + 52. Let u be c(-24). Suppose 4\/11*g**2 + 2\/11*g**u + 6\/11*g**3 + 0*g + 0 = 0. Calculate g.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**2 + 11*w + 11. Let j = -1 - -5. Let x(q) = -q**2 - 4*q - 4. Let a(t) = j*b(t) + 11*x(t). Let f(m) = m - 2 + 2. Calculate a(f(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1504\/5 + 300. What is the closest to 1\/15 in -0.4, x, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 512 - 516. Let l = -48 + 61.4. Let u = g + l. Round u to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98 + 154. Suppose l = -l + i. Suppose -22 - l = -5*h. Calculate the highest common factor of 20 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 1 + 0*c - 7*c + 0 - 7*c. Determine v(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31310*s**3 + 3374*s**3 - 4036*s**3 - 2622*s**3.\nAnswer: -34594*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 12*f - 10. Let u be (-9 - 0)*1 + -1. Let w = u + 19. What is the least common multiple of b(-13) and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 232 = -76. Suppose -4*b = 6 - 14, 5*b = -3*g - 155. Let h = k + g. Calculate the smallest common multiple of h and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 10*k + 55. Suppose 1022 - 3677 = -k*y. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/24)\/(((-18)\/54)\/((-12)\/(-8))).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.11560481 + -0.1156. What is c rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -13*b**2 - 991*b + 782. Give j(-77).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - 5 - (-8 - (0 - -1)). Solve -4*y**2 + 2 - y**3 + 2*y**4 - 6*y**3 + n*y**3 = 0 for y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22006*k*r*z**2 + 10*k*r*z - 4*k*z**2 + 103*k*z + 8*z + 62 wrt r?\nAnswer: -22006*k*z**2 + 10*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 + 69. Suppose 7*o + 4 = 6*o. Let x = o + i. What is the greatest common divisor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 294702, 293925, 293148, 292371?\n\"Answer: -777*m + 295479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11846 is divided by 167?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 293 = -32. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25093751 is divided by 160?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*x - 817, 9*o - 2*x + 4193 = 14*o. Let i = o + -406. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4685 - 2.626676235\nAnswer: 4682.373323765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 + -0.7. Let r = t + 0.8. What is the nearest to 1 in -2\/5, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18962496 and -198141.\nAnswer: 18764355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/4 of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1992500\/(10 + (-238)\/24). Round h to the nearest one hundred thousand.\nAnswer: 23900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9209, -36360, -81607, -144950, -226389, -325924, -443555?\n\"Answer: -9048*r**2 - 7*r - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/6 (b) -5 (c) 11 (d) -3 (e) 2.68\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 1 (b) 0.4 (c) 40\/67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 4*s**2 + 4*s - 3. Let a be n(-8). Suppose 3*y = -o - o - 995, 508 = -o + 2*y. Let w = a - o. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*21\/(-252)*-1.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17791699, -35583395, -53375091, -71166787?\n\"Answer: -17791696*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -56*a**3 + 43180*a**2 - 89212*a + 6152 = 0?\nAnswer: 1\/14, 2, 769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4 - 16 = 0. Suppose 0 = q - 5 + p. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/42*(-3)\/6*-8\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*2*(-4)\/20)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*n**3*z**4 + 42*n**3 + n*z + 6*z**4 wrt z?\nAnswer: 120*n**3*z**2 + 72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -147 (base 15) to base 9\nAnswer: -354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/4 - 1131*c + 2265.\nAnswer: -3*(c - 2)*(c + 1510)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 0.085?\nAnswer: 1.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 681 is divided by 169.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 6 = -2*r - 0, -5*r = 13464*n - 13461*n - 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 78*h**4 + 324*h**4 + 483*h**4 + (4 - 3 - 3)*(h**4 + 3*h**2 - 3*h**2) + 11*h - 11*h - 2*h**4.\nAnswer: 881*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 - 117 - (4 - -52)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 62801 and 62801 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*sqrt(684) - (sqrt(1216) + (3 + sqrt(1216) + -1)**2 + sqrt(1216)).\nAnswer: -1220 - 102*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/(u\/u**(4\/3))*u*u)\/u))\/((u\/u**4)\/u)*(u**(-1\/3))**49 assuming u is positive.\nAnswer: u**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/7 in 3, 0.056, -79, 16?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -14*o**3 + 11*o**2 + 5. Let i(v) = -29 + 7*v**3 + 10 - 6*v**2 + v**2 + 17. Calculate -2*b(j) - 5*i(j).\nAnswer: -7*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18050, -18047, -18044, -18041?\n\"Answer: 3*t - 18053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -657461 take away -67238?\nAnswer: -590223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 5 = -2*a + 16, 0 = 2*r + 4*a - 18 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000022 (base 4) to base 14.\nAnswer: 16d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - z + 10. Let s be i(0). Suppose 20 = 3*n - s. Solve 3*o - 5*f = n, -2*f + 6*f = -20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 164101?\nAnswer: 164102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvuvuvvvv. Give prob of sequence uvv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*z**2 - 3*z**2 + 10*z**2 + 3 - 4 in the form v + n*z + d*z**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.1, -0.02.\nAnswer: -0.02, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-5 + (-1 + sqrt(200))*-5 - (5 + -1 + sqrt(200) + -1)))**2.\nAnswer: -120*sqrt(2) + 7201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 191724117 and 741?\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 403 and 16081?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/45*-1)\/((-1)\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1706 divide 28349463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 6)*(-2)\/(-4). Let g = -8 + c. Let b = g - -4. Which is smaller: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= 6774?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 1. Let f(i) be the second derivative of i**4\/4 - i**3\/6 + 3*i**2\/2 - i. Let r be (0 - -3)*(-2)\/6*(-3 - 0). Calculate r*w(v) - f(v).\nAnswer: -3*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 8. Let a be x(-7). Let p be -340 - (a - (-6)\/3). Is p\/(-4) + 1\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/2*j**2 - 3\/2*j + 9\/2 + 3\/2*j**3.\nAnswer: 3*(j - 3)*(j - 1)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {l: 7, c: 1, p: 6, i: 5}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j**3 + 13*j**2 - 2*j + 3. Let m = -21577 - -21579. What is s(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1107, 2\/13, 20.\nAnswer: 2\/13, 20, 1107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - 156\/(0 + -2). Let r be (36\/8)\/(-3)*-12. Let v = r + g. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 1. Let v(h) = -h**3 + 0*h - h - 4 + 3. Let p(u) = -5*u**3 - 6*u**2 - 9*u. Let a(k) = -p(k) + 4*v(k). What is a(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1944*u**3\/19 + 386846*u**2\/19 - 1990*u\/19.\nAnswer: 2*u*(u + 199)*(972*u - 5)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 3670?\nAnswer: 14680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(245) + 2 + sqrt(245))*6 - (1*sqrt(80) + 5)**2).\nAnswer: -98 + 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -647*f**3 - 6852*f.\nAnswer: -3882*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17891965\/93 or 1\/2?\nAnswer: -17891965\/93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 115 - 114.95. Let n = y + 0.85. What is the fourth smallest value in 2\/13, 0.1, n, -1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -7 (b) 126 (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8039*a**2 - 596*a - 19662367 wrt a?\nAnswer: 16078*a - 596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1062 and 24270822.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -9*d + 2. Let l = -464 + 632. What is the remainder when l is divided by c(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-90) - 0)*(2 + 1).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 143477389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(-5)*t))\/(t**(-18)\/t)*((t\/t**1)\/t*t)\/t**(1\/4) assuming t is positive.\nAnswer: t**(91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 124302 + -42262787\/340. Find the common denominator of r and -59\/408.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*b - 1232 = 27*b + 28*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 745*y**2 - y + 745.\nAnswer: (y - 745)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m = -2*q - 60, -m = 3*q - 50. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**2 + 1. Suppose q = -0*q + u + 5, 3*q - 11 = 2*u. Let y = q + -2. Let o = 2 + y. Give j(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24948 and 27852?\nAnswer: 5264028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35 + -28)\/(11\/11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9008 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -2. Let l = 9 - 5. Let x = l + -2. What is the closest to p in -4, x, -2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 17*d + 13. Give h(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29830.59021 plus -1?\nAnswer: 29829.59021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**3 + 2*x**2 + 335*x. Let g(c) = 5*c**3 + 3*c**2 + 503*c. Determine 5*g(j) - 7*y(j).\nAnswer: -3*j**3 + j**2 + 170*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 14*a**3 + 3*a**2. Let z(l) = -42*l**3 - 8*l**2. What is 10*f(w) + 3*z(w)?\nAnswer: 14*w**3 + 6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrxa when four letters picked without replacement from rraxvayynrxyyyx.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36396513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -144*f - 2309. What is n(-16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-9))\/((-66)\/(-99)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/34*24\/45?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 8*h - 5. Let y(n) be the second derivative of 3*n**3\/2 - 3*n**2 + 2*n. Let b be (-184)\/414 - 240\/(-54). Calculate b*k(r) - 3*y(r).\nAnswer: 5*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 119054029 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 256, 491, 788, 1147, 1568?\n\"Answer: 31*r**2 + 142*r + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 98 = 89. Suppose -h*w + 1580000 = -4*w. What is w rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-2001)\/(-232) - -18?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 0, -0.3, -4 in increasing order.\nAnswer: -4, -0.3, 0, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40\/2949 or 0?\nAnswer: -40\/2949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 4*w - 4971 = 3*d, 5*d = -w + 8285. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c**3 + 9*c**2. Let y(v) = -3*v**3 - 10*v**2. Calculate 2*i(f) + 3*y(f).\nAnswer: -f**3 - 12*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 322 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23083 - 23083. Let d = -0.3 - -1.3. Which is the nearest to d? (a) n (b) 0.4 (c) 4.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 7:28 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.147135 rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 213 - 27?\nAnswer: 1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 c when three letters picked without replacement from {n: 1, q: 3, c: 2, b: 3, j: 5, a: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -213*b**2 + 735 wrt b.\nAnswer: -426*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -270*c**4 + 3750*c**2 - 526575*c - 4*c**6 + 2*c**5 + 526575*c wrt c?\nAnswer: -480*c**3 + 120*c**2 - 6480*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2) - (-7)\/2. Is (-4)\/6*c - -147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 12:53 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**3 - 3*t**2 + t + 3. Let m(y) = -3*y**3 - 4*y**2 + 2*y + 4. Let c(a) = 3*g(a) - 2*m(a). Suppose -r - 4 = r. Is c(r) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5*(-15)\/50)\/(6\/(-8)*16\/176)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -1. Let t be 3\/18*(-20)\/15. Let i = -8 - -13. What is the nearest to t in i, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2\/125 of a kilometer?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.1775184 to two decimal places.\nAnswer: 16.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.03, -2\/3, 3, 4\/3, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -36\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 8*f - 5 = -w, -6 = -3*w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -11*d + 6. Let g be v(4). Let n = g - -20. Let o be n\/(-4) - (-2)\/(-4). Solve 5*r - 1 = o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -95460, -95465, -95474, -95487, -95504, -95525, -95550?\n\"Answer: -2*x**2 + x - 95459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**5 + v**4\/4 - 6*v**3 - 35. Find the third derivative of z(x) wrt x.\nAnswer: -120*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**4\/2 + 7*t**3\/3 + 3*t**2\/2 - 3*t + 3. Let h be x(-3). Put h, 5, 1, 2 in increasing order.\nAnswer: h, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*k - 107*k = 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 3*r = s - 3*r - 0*r + 4, r - 68 = 5*s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9604113 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5142357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 25, 5*d - 184 = 5*j + 686. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -3\/2, -2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.890495 hours to weeks.\nAnswer: 0.439824375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (13 - 2) + 1429 + -1481.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-13\/4)*o*o**(-3\/23)*o)**30 assuming o is positive.\nAnswer: o**(-1905\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2740\/4521)\/((-320)\/(-4224))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/(-16))\/(2\/(-8)). Let c be (-20)\/4*21\/(-15). Let p = f + c. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 3:46 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krrrjvsxrjkvrkrjrkjr. Give prob of sequence kx.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4\/24)\/(4\/570) and 3\/(-9)*(-111)\/(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 + 271?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**4 - 336*f**3 - 4104*f**2 - 7184*f - 3420 = 0. What is f?\nAnswer: -9, -1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1411612 is divided by 95?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 13)*(q + 2*q - q)*(2 + q**2 - 2) to l*q**2 + g*q**3 + r*q + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 20903 (c) -3\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*q**3 + 37*q - 37*q)*(11*q + 65 - 65) - 1 + 3 - 4*q - 1095*q**4 + 1084*q**4 in the form k*q**4 + b + m*q + f*q**2 + z*q**3 and give k.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**5\/7 - 5476*w**4\/7 - 7304954*w**3\/7 - 2875731476*w**2\/7 - 5700437733*w\/7 + 8583479640\/7 = 0 for w.\nAnswer: -3720, -877, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 370801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, -0.11, 0.2871, 3, -3\/5, -4\/7, -2?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(4 + 0)*-4. Find the third derivative of -11*z**2 + 14*z**s - 4*z**4 - 2*z**4 wrt z.\nAnswer: -144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7064.8596 rounded to the nearest integer?\nAnswer: 7065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/4, 211, -2\/9, -1\/54, 5, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*a**2 - 2*a**2 + 2*a**2)*(1 - 7 - 4) to h*a + g + s*a**2 and give s.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16431227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 855?\nAnswer: -850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574175 is divided by 6755.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6*t**2 - 38*t - 24. Calculate f(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 + 0 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71 - (-79)\/((-39263)\/31027)?\nAnswer: 60\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -956406 (b) -2\/305 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.05, 1, -1\/6, -3\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 691 - 691 - 2*d**2 - 3*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 6*a + 86. Determine j(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 487*v + 52 = 491*v. Let y be 5 - (9\/v)\/((-1)\/(-7)). What is the smallest value in -26, y, -1\/5?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, j: 1, d: 1, n: 10, z: 3}. Give prob of sequence nnjs.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.64 + 0.28. Let t = m - -0.66. Which is the second biggest value? (a) -1\/8 (b) t (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 157, -4, 0, 36 in descending order.\nAnswer: 157, 36, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, q: 2, o: 3}. Give prob of picking 1 a and 1 o.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389251005 a multiple of 10035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2811?\nAnswer: 3, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6350 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119561519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 23 = -6*c. Calculate the remainder when 60 is divided by (3*1\/2)\/(c\/88).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -210.92 + 232. Let v = l + -0.08. Let s = v - 20.999945. What is s rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -7*x + 26 + 13*x - 7*x. What is m(0)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**2 - 231231520*q - 2673400792075520 = 0. Calculate q.\nAnswer: -23123152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -23*h - 16. Let v(x) = -14*x - 11. Let n(j) = -5*j - 4. Let z(s) = 11*n(s) - 4*v(s). Let w(p) = -u(p) + 4*z(p). Differentiate w(d) with respect to d.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = x - 23. Let w(v) = -8*v**3 + 2*v**2 + v. Let k be w(-2). Calculate the greatest common factor of x and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 37*p**2 + 8*p + 14. Let r(a) = -25*a**2 - 5*a - 9. What is -8*r(i) - 5*u(i)?\nAnswer: 15*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 - 76. Let d = v + 67. What are the prime factors of d?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -753.817 rounded to the nearest integer?\nAnswer: -754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-672)\/(-26) - (-20)\/130. Solve 5*i - m = -2*l, 0*l - 23 = -5*i - l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21948548.44108 + -11361970.4410736. Let f = a - 10586679. Let q = -101 - f. Round q to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.2 - -2.7. What is the second biggest value in 0.5, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 3*z + 4. Let b be l(3). Let w = 6 - b. Is 38 - (2 - 2\/w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/4)*p**5)\/(p\/p**8*p\/(((p**(-2\/13)*p)\/p)\/p)) assuming p is positive.\nAnswer: p**(473\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -20, -432, -8 in descending order.\nAnswer: -2, -8, -20, -432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 1. Let c = -5.2 - -0.2. Let q = c + 6. Is q less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.49672 - 12.5. What is n rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 74 = -26. Suppose -u - v = 1, -3*v + 1 = 3*u - 4*u. Let y be ((-4)\/(-16))\/(u\/d). Solve y*x - 2 = -0*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-5772)\/(-10))\/(24\/80)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*n - 18*n - 1488. Which is bigger: 122 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-147)\/(-490))\/((-12)\/10)*-5 - (-238)\/8.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + k = 25, -3*n - 3*k = -0*k - 27. Solve -5*h + 17 = -0*h - 3*t, 0 = n*h - 4*t - 20 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.17 and -0.2?\nAnswer: -1.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m + 13*m = -3, 5*p - 19 = -2*m for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0326 and 93218724?\nAnswer: 93218724.0326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x. Suppose -4*d - 9 = 7. Let j = 10 + d. Let v(p) = -j*p**2 + 7*p**2 - 3*p**2. Give v(r(t)).\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(68) + -2 + sqrt(68))**2 - sqrt(17)) + ((1 + sqrt(2057) + sqrt(2057) - sqrt(2057)) + 4)**2)*-6.\nAnswer: -14160 - 558*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -487\/72 - -55\/8. Which is the biggest value? (a) -7 (b) p (c) 5 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 1354*y - 2660*y + 1292*y - 22. Determine s(-5).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 109*g**6\/6 - g**2\/2 + 90*g + 128. What is the second derivative of j(p) wrt p?\nAnswer: 2180*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v = -21*v. Solve -15 = -v*r - 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 224 + 472. Let k = s + -696. What is the nearest to -2 in k, -3\/5, 0.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5764602 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132c (base 16) to base 11.\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77829848 is divided by 350.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and -13.41486.\nAnswer: -9.390402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 52\/16 + 2\/(-8). Suppose c - 8 = -2*k, c - k + 10 = l*c. Let i(j) = j**3 - 5*j**2 + 5*j + 2. Calculate the least common multiple of i(c) and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12532.9 - -12598.841. Let z = u + 0.059. Let d = z - 65.9999964. Round d to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2977, -3051, -3247, -3625, -4245?\n\"Answer: -10*n**3 - n**2 - n - 2965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 - i - 5. Let p be d(-3). Calculate the greatest common factor of p and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/6 - 403915*o**2\/3.\nAnswer: -o**2*(o + 807830)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 39, 79 in increasing order.\nAnswer: 1\/2, 39, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5580835?\nAnswer: 5, 13, 23, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 135\/(-81)*(-9)\/10.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21600 - 3?\nAnswer: -21603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -205 - -126. Let x be -14 - -11 - 239\/a. Which is greater: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m - 5*m + 4*m - 1 - 2*m + 2*m - m + 0 + 2*m + 0 + (6*m + 0*m - 4*m)*(2 + 0 - 1) + 23 - 23 - 98*m.\nAnswer: -93*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -3 (b) 0.63 (c) 2\/17 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -71*h - 1021. What is the remainder when b(-19) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 1:27 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 135, 5, 2, 0.5, -0.02?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6627311043 to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 720340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 305009159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*s**4 - 54376*s**3 - s**2 + 9016444*s.\nAnswer: 504*s - 326256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 130028338 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 101411*x + 1115368. Calculate n(-11).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3187469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 33*d**4 + 34*d**3 - 69*d**2 - 6*d + 8 = 0. What is d?\nAnswer: -2, -4\/11, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 9*y**2 - 10*y - 12. Let u be b(-8). Let t be -4 + 3 + u + -490003. What is t rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1683, -222, -5257, -14988, -30981, -54802, -88017, -132192?\nAnswer: -188893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 257371 = -5*i + 71566, 3*i + f = 197363. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**3\/3 + 2*o**2 + 2*o - 4. What is the units digit of z(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2586 and 11561144?\nAnswer: 34683432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46470 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -51*u + 458. What is r(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 26. Put r, 5, -2, 11 in descending order.\nAnswer: 11, 5, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**5\/3 - 4*u**4 + 48*u**3 - 128*u**2\/3 = 0. Calculate u.\nAnswer: -8, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 - 8. Let f(a) = -a**2 - 3. Let b(z) = 8*f(z) - 3*i(z). Let k be 5 + (-724767)\/(-6)*-1*-2. Let m(x) = k - 241594 + 44*x**2. Give b(m(w)).\nAnswer: -3872*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/2674 and -31\/18?\nAnswer: 24066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-5))\/(3\/10). Let k be -1*4*(-10)\/o. Suppose -5*r + k = -f, 5*r = 6*r - 5*f - 2. What is the greatest common factor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4433 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from lliolgooiiotloii.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3101828946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*i**4 - 6*i**3 + 6*i**3)*(-2193 - 588 + 105) to the form d*i**3 + u*i + a*i**2 + w*i**4 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 1 = 3*h - 44, -16 = -h + 2*p. Let y(m) = -5*m + h*m + 0*m. Let t(g) = -6*g**2. Determine y(t(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 79696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2 + 5*k - 3. Let q(a) = -13*a - 1. Let m be q(-1). Let p = 15 - m. Calculate t(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -3)*(-4)\/1. Let u be (-35)\/7*n\/(-5). Put u, 1, -0.18 in ascending order.\nAnswer: u, -0.18, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a year?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.135 - -4.135. Put d, -18, -3\/2 in descending order.\nAnswer: d, -3\/2, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 24 = 4*s, -2*l = 3*s - 0*l - 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*o - 2, -p = o - 0 + 2. Suppose -5*f = -o*f. Let g = 0.89 - -0.11. Which is the second biggest value? (a) f (b) 2\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -18. Find the third derivative of 77 - 77 - 3*y**p + 2*y**2 wrt y.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2944?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/14*105*55\/1375?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2a2 (base 16) to base 10\nAnswer: -674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -8360 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 480\/(848\/(-53))*(1\/10)\/((-2)\/8)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 112891 smaller than 112845?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4877447 and 138632?\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45913 is divided by 656?\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-5 - (0 - (1 - -2)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*d**6 - 13*d**2 + 9*d**6 + 3*d**2 wrt d.\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28883a (base 12) to base 6\nAnswer: -22313314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -84 - 123*o**2 + 330*o**2 - 26*o**2 + 57*o**2. Let v(k) = 14*k**2 - 5. What is 5*t(l) - 84*v(l)?\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(2\/(-1)) + 3. Let w be (10 + -6)\/(1 + b). Suppose -2*o = -3*m + 53, -w*o - 2*o = 5*m - 103. What are the prime factors of m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/15 of a day?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 51\/2948, -2, -1\/10 in decreasing order.\nAnswer: 51\/2948, -1\/10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 327.9 + -24305.9. Let h = -23977.9899913 - b. Let n = 0.01 - h. What is n rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**6\/120 - c**3\/6 + 26*c**2. Give m(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d - -198?\nAnswer: 1a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*v - 93*v - 2883*v**2 + 2357*v**2.\nAnswer: -526*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 64 = -4*o, 6*b + 24 - 24 = -3*o - 36 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -4, 6, -15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - 47.6. Sort -0.2, -2\/11, q, 1\/4 in descending order.\nAnswer: q, 1\/4, -2\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390747 > 135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**4\/24 - 4*f**3\/3 + f**2. Let r(q) be the first derivative of -q**2\/2 - q + 3083. Calculate i(p) - 3*r(p).\nAnswer: 2*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from {p: 1, m: 4, d: 4, j: 5, n: 6}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30917?\nAnswer: 43, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jja when three letters picked without replacement from jgjgagggjjjaggjj.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -f - 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*m - 20*m - 63 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -4 + 0*r**2 - 2\/3*r**3 + 0*r. Let y(m) = -2*m + 7. Let l(d) = -d + 3. Let c(o) = 14*l(o) - 6*y(o). Calculate c(g(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.001 in -1, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-10))\/(18\/(-10) - -2). Suppose -4*j = -c - 795, 603 = 3*j + c - y*c. Is 22 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75792177 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -317?\nAnswer: 3\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + 54 - (0 - (6 - -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -2\/21 (c) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/81341, -1, -12, 0.3 in decreasing order.\nAnswer: 0.3, -6\/81341, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 1119 = -611. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -29, -0.018, -2\/11?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 664440 divided by 4?\nAnswer: 166110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 11*p**2 + 4*p - 7. Is 26 a factor of v(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 11*a**2 - 26*a - 10. Let c be o(7). Solve 2*j + c = -2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**5 - 2*q**5 - 5*q**5 - 5*q**4 + 5*q**5 + 5*q**4 + (5*q - q - 3*q)*(-q**4 + 2*q**4 - 3*q**4) + q**5 + 0*q + 0*q - 2*q**2.\nAnswer: 2*q**5 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - 38.8. Let r = q - -6. Which is the nearest to 2\/5? (a) 1\/4 (b) r (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (2 - 5 - (2 + -8 + 7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2371686, 2371683, 2371680, 2371677?\n\"Answer: -3*t + 2371689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by (6\/(-12) - 0)\/((-3)\/162)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488362.\nAnswer: 2, 7, 34883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.5541 micrometers in meters?\nAnswer: 0.0000325541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 0.3, 1\/5, -0.05, 0.04.\nAnswer: -0.05, 0.04, 1\/8, 1\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1304\/14 + (-12)\/(-14). Suppose 5*q - y = -59. Solve 0 = 4*p - q*p - 2*n + 4, 3*p + n - 2 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4265913 and 17934.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpbbppbbbbb. What is prob of picking 2 b and 1 p?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 + -46. Solve -j = b*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 7*l - 9. Let p = -5886 + 17660\/3. Let t(n) be the first derivative of 25 + 14*n + 11\/2*n**2 + p*n**3. Calculate -8*s(x) - 5*t(x).\nAnswer: -2*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*(-22 + 2093\/92)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5762 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/3, 1\/4, -0.2, -245, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1874 and -5412688.24.\nAnswer: -5414562.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -10.6. Let l be 3 - (18 - 2)\/4. Let x be -2 + 0*l\/(-4). What is the biggest value in x, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**5\/8 + 35659*w**4\/8 + 71331*w**3\/8 - 320947*w**2\/8 - 35665*w\/4 + 35661 = 0. Calculate w.\nAnswer: -4, -1, 1, 2, 35661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -9. Suppose -a*p - 6 - 14 = -4*o, 2*o + p = 10. Suppose d = 4*g - 3 - 15, 105 = -3*d - o*g. What is d rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30498450 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 913.2934ml in litres?\nAnswer: 0.9132934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 10:53 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -3021.\nAnswer: -1\/3021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -301 greater than -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + -23. Suppose w*h - 8 = 11*h. Suppose h*o + 7*z = 4*z + 66, o = z + 23. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6225647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 72884500 + -5?\nAnswer: 72884484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37802478.\nAnswer: 2, 3, 7, 23, 39133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*v**2 + 75*v**2 - 5*v**2 + 87*v**3 wrt v.\nAnswer: 522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -9 + 6*z + 13*z - 17*z. Suppose -45 = -0*p - 5*p. Let o be n(p). What is the highest common divisor of 27 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 609 and 26565?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -9*z - 3. Let q = -4 + 2. Let n be h(q). Let u = n + -2. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -87417\/463 or -188?\nAnswer: -188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5125939 not equal to 5125937?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -655674807 divided by 3.\nAnswer: -218558269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27079 + -25349. Are -3\/8 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/2 + 10\/3. Let t = -4.9 - -0.9. What is the closest to l in t, -1\/4, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1955 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165455?\nAnswer: 5, 33091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1238.9139 months to decades.\nAnswer: 10.3242825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**5\/4 - q**4\/2 + q**3 + q**2\/2 - 3*q\/4 = 0 for q.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5 + 0*b**2 + 3 + b**2 + 2*b. Let m(x) = x + 24. Suppose 2*y - 68 = 3*c, 9*c = 12*c - 3*y + 69. Let n be m(c). Give a(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19989 - 19986. What is the third smallest value in 0.4, 5, 0.105, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2843932\/5 - 568786. Suppose k + 0*k = 4, 3*u - 2*k + 365 = 0. What is the closest to -0.1 in d, -3, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 218379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -133 (base 5) to base 2\nAnswer: -101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 461405528 divided by 5?\nAnswer: 461405528\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-25)*-1 - 7902\/(-10). What is p rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 93, 355, 881, 1761, 3085, 4943, 7425?\nAnswer: 10621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42837825?\nAnswer: 3, 5, 41, 13931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 20 = 4*z. Suppose 2*g = -3*g + z. Suppose -3*l = p + 6, 5 = -g*l + p - 2*p. Which is the nearest to -0.1? (a) -3 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/9 - (-2)\/(-6). Let n = -3.4 + -0.6. Let t = 131 - 130.6. What is the closest to 0.1 in t, n, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*f - 172*f - 320 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32340 - -1401034?\nAnswer: 1433424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 3:53 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(15\/((-90)\/(-12)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 - 3*q**2 + 5*q + 2. Let s be r(-3). Let g be ((-4)\/(-14))\/(6\/s). Which is the third biggest value? (a) g (b) 3 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -103211 (base 4) in base 14?\nAnswer: -657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 49456?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -718? (a) 1 (b) -3\/2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*l - 24. Let k be 9\/(-3) - (l + 1). Solve 4*b = k*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*l**4 + 7044*l**2 + 262829*l.\nAnswer: -84*l**2 + 14088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 6*x**2 - 8*x - 6. Calculate h(-6).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 26*h - 45. Let n be l(27). Let a = 105 + n. Suppose 0 = -b + 56 + a. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1614 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(5*n - 5*n + 4*n)*(9*n - 8*n - 2*n - 42).\nAnswer: -8*n**2 - 336*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.09 + 0.07. Let x = 0.1435 - l. Round x to 3 decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -11 - (3 - 44\/(-16))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*m*x**4 + 3*m*x - 2*m - 3*x**4 + x wrt x.\nAnswer: 204*m*x**2 - 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -16 (b) -0.3 (c) 0 (d) -0.5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 910*p + 11013. Calculate a(-12).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/2 + (-2 - 1). Suppose -a + r + 47 + d = 0, -3*r + 46 = a. Suppose 0 = -2*t + 4, -a = -3*u - t - 4*t. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -3\/11 (b) -4.2 (c) 3\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -80*o**2 + 1129*o + 16646. What is d(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-2 + 5*(-1 + sqrt(272)) + sqrt(272))*-3 - (-4 + sqrt(272)*-2 - (sqrt(272) + -3 + 1)))**2.\nAnswer: -2760*sqrt(17) + 61734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5*4\/(-10) + 75.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*j**4 + 14*j**4 + 14*j**4 + (-2*j + 3 - 3)*(-2*j**3 - j**3 + j**3).\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/2319 and 25\/4.\nAnswer: 9276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 6:31 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/594)\/((-3)\/18).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3127, -12495, -28107, -49963, -78063?\n\"Answer: -3122*r**2 - 2*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 13 - 3. Let r = -0.08 - 2.92. What is the closest to 1 in 3\/2, l, r?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c + 5*c**2 + 0*c**3 + 3*c**3 - 2*c**3 + 8 + 2*c**2. Let l = 12 + -4. What is the remainder when p(-7) is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6\/265 + 1469\/6360. Find the common denominator of r and 13\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 252 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 4 + 11. Suppose -9 = w + 3*u + 3, -4*w - u - 4 = 0. Suppose w = 118*x - 99*x - 513. Sort v, x, -2, -3 in descending order.\nAnswer: x, -2, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + 3 + 0 + 6)*(3*y - 10 + 10) to j + s*y**2 + k*y and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15066*l**6 - 249*l**5 + 176589*l**2 - 4*l + 3 wrt l?\nAnswer: -1807920*l**3 - 14940*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.92 - -0.08. Which is bigger: a or 1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from uuuuuuuuuuuwuwuuuuwu?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*a + 7*a + 10*a - 8*a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + s + 1. Let k(c) = -c**2 - 178*c - 2444. Let z be k(-15). Let x(g) = 2*g**3 - 71*g**2 + 4*g + 4. Determine z*x(w) - 4*h(w).\nAnswer: 2*w**3 - 67*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (177\/4)\/((-2)\/8). Let w be (-1)\/2 - d\/6. Suppose 5*t - t = -3*c + 38, w = 4*c + t. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/(m*m\/m**8))\/m**4)\/(m**(1\/3))**(-1\/6))\/((m*m**10)\/m**8)**(-5\/4) assuming m is positive.\nAnswer: m**(281\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(500) + sqrt(500) + sqrt(500))*2 + sqrt(500))**2*4 + (-2*sqrt(500)*3)**2 + 5)*-4.\nAnswer: -464084 - 4480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -11*z + 622, 5*z - 2*o = 14120 - 7002 - 6831 for z.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (31 + 6) - -44) + -18\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 732829.\nAnswer: 732829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30.542 + 0.01558161.\nAnswer: -30.52641839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 10*v**3 + 5*v**2 - 5*v + 5. Let m = 31 + -39. Let q(f) = 15*f**3 + 8*f**2 - 8*f + 8. Calculate m*c(w) + 5*q(w).\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 5:43 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -81016 plus -1?\nAnswer: -81017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*r = 40*r + 1833. Suppose r = -21*z + 4656. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-51 - (19 + -55)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 s when three letters picked without replacement from sszsiizs?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1114 or 1115?\nAnswer: 1115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*l - 2*l - 3*l)*(2*l + 0*l - 3*l) + l**2 - 4*l**2 + 5*l**2)*(0*l**2 - 2*l**2 - l**2) to the form y*l**4 + q*l + h + f*l**3 + d*l**2 and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, j: 6, w: 5}. Give prob of picking 1 j and 2 w.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 17241466*k**2 + 11*k - 35 - 22 + 17241453*k**2. Give t(-14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/93844853 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 9*j**2 + 20*j + 9. Let p be y(-10). Let h = -700 + p. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.19961 - -0.69961. Which is the nearest to 4\/9? (a) 6\/5 (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 16) to base 5\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14*8163\/90 + 3\/15. Let c = g + -208. What are the prime factors of c?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 2:15 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/990 and -67\/110.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -13.04. Let x = f - 29.96. Let t = -30.3 - x. What is the third biggest value in -1\/4, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/4*u**2 + 3\/4*u - 3\/2 = 0. What is u?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*21\/112)\/((-12)\/16)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**2*q**4 - j**2*q + 187*j*q**5 - 91*q wrt q?\nAnswer: -12*j**2*q**2 + 3740*j*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1183.87594 to the nearest integer.\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149420*v + 448274*v - 149425*v - 149408*v.\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + g**3 + 3*g**3)*(-3 + 4 - 2)*(-2*g - 4*g + g)*(0 - 2 + 0).\nAnswer: -20*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 265952 and 4024.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/65524, 0.5, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 36.34051l?\nAnswer: 36340.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*n + 67*n + 46*n - 176 = 0 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 19 = s, -20*t = -24*t + 5*s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*x + 374 = -656, -3*l = x - 1552. Let j be (-4)\/18 + 6625\/(-2385) + 17. Calculate the highest common factor of l and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 842*o**2*z - 961*o*z wrt o.\nAnswer: 1684*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 16. Calculate the greatest common divisor of 3 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 311*s - 1. Let i be y(-1). Let b = i + 72. Let a = 401 + b. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 183 = -0*b + 2*b, -t + 47 = -3*b. What is the remainder when 64 is divided by t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d + 13. Let s be q(11). Let i = 111 + s. What is the remainder when i is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.704 + -3.6. What is f rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2004811?\nAnswer: 2004811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101014231 (base 6) to base 5.\nAnswer: -420303043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3\/9 + 116*h**2\/9 + 1060*h\/9 - 7700\/9.\nAnswer: -4*(h - 35)*(h - 5)*(h + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szss when four letters picked without replacement from {s: 11, z: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 5*c - 3. Let u be j(-4). Let m = 352 - 276. Let z = m + u. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003059364 rounded to six decimal places?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1113647?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 130 = 101. What is the biggest value in n, 5, 2, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 9:00 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 (base 2) in base 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3868053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 171*p - 169*p - 178. Suppose -7*k - 61 = -p. Solve -k*q = -3*a - 0*a - 35, 2*a = 2*q - 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 234079590?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/5)*f*f**(-2\/13)*(f**(-2\/7))**(2\/5) assuming f is positive.\nAnswer: f**(103\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9687352*k**5 + k**4 - 86*k - 10811 wrt k?\nAnswer: 193747040*k**3 + 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 268 - 267.99999159. Round o to 7 decimal places.\nAnswer: 0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 210 = -1920. Let q = 505 + r. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 66*q - 58. Let l(p) = p + 18. Let r be l(-12). What is the tens digit of d(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -14. What is the closest to 1\/3 in r, -4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 10585 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 729\/112 + -85\/14. Let u = 109\/176 - g. Which is the second smallest value? (a) -0.3 (b) 1\/2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 2)\/((-2)\/10). Let u(w) = -w**2 - 13*w - 5. Let n be u(-13). Sort -1, n, v in descending order.\nAnswer: v, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -61*f**3 - 2*f**2 + 15*f - 3. Is g(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.3, 4, 0.08, -5\/3, -4335?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2 - 7*a + 6. Let g be j(4). Is 15 a factor of (g\/15)\/(10\/(-175))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8670\/11 - (3108\/154 - 20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -20 (c) -2 (d) -2\/7 (e) -1\/1020 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 1)*((0 + 0 - 1)*(2*w - w - 3*w) + 18444 + 4510*w - 18444) to the form d*w + i and give d.\nAnswer: 4512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.4. Do -5 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 3*o - o**3 + 2*o - 4*o**2 + 6 - o**2. Let h be d(-5). Let w = 12 - h. Let n(v) = 3*v + 5. Give n(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10034, 20071, 30106, 40139?\nAnswer: 50170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 56280*h - 2412. Let a(t) = -24*t + 1. Let o(s) = -12060*a(s) - 5*n(s). Let p(j) = 2*j. What is o(p(u))?\nAnswer: 16080*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 294 - 348. Find the common denominator of 86\/21 and 6*444\/l*(-1)\/(-192).\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 8:08 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/1798024 or -1?\nAnswer: -3\/1798024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*m**4 + 3112*m**3*p**3 - 10*m*p**3 - 132*m*p + 2*p**3 wrt m.\nAnswer: 120*m**2 + 18672*m*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3*h - 4)*(4 + 4 - 4)*(0 + 0 + 7)*(0 - 3 + 2) to the form v*h + f and give v.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118623*4.\nAnswer: 474492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -5. Let q(s) be the third derivative of -s**4\/8 - s**3\/6 + s**2 + 49*s. What is q(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0.5. Let b = 1.5 - n. Suppose -23*c + 22*c = 3. Put c, b, 1 in decreasing order.\nAnswer: b, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -271600 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -96*f - 2. Give b(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 3:59 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*n - 6 + 6)*(n**2 + 4*n - 4*n)*(-6*n**2 + 2*n**2 + n**2) - 5*n**4 + 5*n**4 + 2*n**5.\nAnswer: -40*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -34*g - 846. Let h be c(-25). Let u(z) be the second derivative of 0 - h*z**2 + 2*z**3 + 2*z - 1\/3*z**4. Factor u(n).\nAnswer: -4*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 3*m - 2, m + 0*m - 4*o = -5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + b + 8 = 0, 2*j - 4*b = 4 + 4. Let i be 88\/(-140) + j\/20. Suppose 5*g - 2*g = t - 4, 4 = -5*g - t. Do i and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 878 != 81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1017 is divided by 338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-3) - 1 - -2. Suppose k + i*l = -3*l + 1, -l = -2*k - 12. Let p(y) = -2*y + 5. What is the units digit of p(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1729)\/494)\/((-56)\/6)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**2. Suppose s + 1 - 3 = 0. Let g(l) = -139*l + l**s + 139*l. Calculate g(x(v)).\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 16*x**3 + 2*x**2 - x + 1. Let z be y(5). Let m = -1213 + z. Suppose m = 3*g - 2680. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2300, 538, -2208, -5932, -10628, -16290?\nAnswer: -22912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 9. Let k be h(0). Suppose -k + 159 = 5*o. Suppose 0 = z - 5*d - o, z - 3*z + 30 = 5*d. Find the common denominator of -68\/9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1071)\/42 - 312\/(-48)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 444.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 0, -1\/16, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19\/12*m - 1\/12*m**2 + 23\/3.\nAnswer: -(m - 4)*(m + 23)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3214880 rounded to the nearest 100000?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 105 + 852\/(-45) - 85\nAnswer: 16\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: a8 (base 11) to base 9\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5709183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 78\/15*1 + (-165)\/33\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 12) to base 4.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x - 39*x - 1471 + 76*x.\nAnswer: 23*x - 1471","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 + 50744*k - 109667904.\nAnswer: 4*(k - 1882)*(k + 14568)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -240 - 3407245\nAnswer: -3407485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 32140560 divided by 4017570\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**4\/5 - 318*p**3\/5 + 11943*p**2\/5 - 185208*p\/5 + 194304 = 0?\nAnswer: 11, 23, 32, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 20 + 16. Suppose -u*x = -14*x + 24. Suppose 3*a = -4*m - x, -m - 2*m - 15 = -2*a. Solve 9 = -3*h + 4*v, -v - 2*v + 6 = -a*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -585*h**3 + 802*h**3 + 423*h**3.\nAnswer: 640*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 423 - -104?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (2 + -2*(6*(sqrt(2448) - sqrt(2448)*2) - (0 + 1 + sqrt(2448)))*5)*-6)**2.\nAnswer: 756000*sqrt(17) + 431832825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Let t be ((-16)\/12)\/((-10)\/(-456)). Let x = t + 61. Which is the closest to -1? (a) x (b) -1\/2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r**2 - 173 + 173.\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-61)\/(-2)*10\/5 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 83 - 9344*m - 27 - 21.\nAnswer: -9344*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/1611 or 0?\nAnswer: 4\/1611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 20.9. Let o = l + 2. Let b = -740 + 745. What is the nearest to -1 in o, b, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 2*i**2 - 12*i + 14*i.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 17 = -3*m + 18, -2*i - 2*m = 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 7, r: 4}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 4:20 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s - 13. Let v(b) = -2. Let k(r) = -l(r) + 3*v(r). What is the remainder when 80 is divided by k(10)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/2 (b) -0.2 (c) 1.08 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1048 - 1043. Suppose 3*g = -2*z + 5*g - 4, -1 = -g. Let x = z + j. Let l(s) = -s**2 + 2*s - 3. Give l(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2232, -1627, -626, 771, 2564, 4753?\nAnswer: 7338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 1:40 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -8, -f = 3*b - 4*f - 1344. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7073176.5 milliseconds to hours.\nAnswer: 1.96477125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 7:14 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-8) - 18\/8. Let r(u) = u**3 - 9*u**2 - 8*u - 19. Let b be r(10). Suppose -6*l = b + 11. Do l and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 6:16 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -22*s + 238. What is t(9)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -4) + -3 - (5 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 4, 5, -5, -8, -2 in descending order.\nAnswer: 38, 5, 4, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 3\/5*c**3 - c + 9\/5*c**2 - 1\/5*c**4 = 0. What is c?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8598 (base 13) to base 12.\nAnswer: a896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/17, 2\/15, -5, -1\/12, 14\/5?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 84 - 144. Let z = -57 - b. Calculate the remainder when 13 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 62433 + 5?\nAnswer: 62441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/24 of a hour?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17.33 + -15.33. Let r = 20 + -17. Suppose r*q = 2*y + 9, y = -5*q + 2*y + 8. Which is the nearest to q? (a) p (b) -1\/3 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 174752 divided by 254\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 11*z - 21. Solve y - z = -2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1 + sqrt(2057))*-5 - sqrt(2057))**2.\nAnswer: 2640*sqrt(17) + 296308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 457 divide 2008515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112 + 116. What is the closest to 0 in -0.3, w, -1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -43\/273 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 6. Let p be (-1)\/3 + (-28)\/o. Let g = -13 - -14. Put p, 3, g in ascending order.\nAnswer: p, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 20. What is c(-9)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 8232539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -121 - -134. Calculate the remainder when 74 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**4\/6 + 29*y**3\/6 + 10*y**2\/3.\nAnswer: y**2*(y + 5)*(5*y + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.2 + -287792564.\nAnswer: -287792566.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.01 * -0.1.\nAnswer: -0.101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(70)*3)\/(-2*sqrt(10)*1 + sqrt(10)).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 26. Let t be z(0). Let l = t + -13. Let i = -326 + 339. What is the greatest common divisor of l and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264342393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16787 or 16786?\nAnswer: 16787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(76)\/(sqrt(12)\/sqrt(3))*-2)*-4.\nAnswer: 8 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*t = -3*c + 4, -2*c + 4*t = -16. Let x(s) = -s**3 - s**2. Let h be x(-1). Let v be -1*(h\/1)\/(-2). Solve -2*o - c*o = v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 4, k: 3, i: 4, x: 1, m: 1}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-9)*(0\/6)\/(-5). Let f(l) = -l**3 + l**2 - 2*l - 5. Let a be f(s). Which is bigger: -75\/14 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from xooxoxmxmmoofmmx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 213\/5 + -43. Suppose -3*n + 4*n - 3 = 0. Suppose 5*x - n = 7. Which is the closest to 1? (a) -5 (b) x (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 55 = 7*i. What is the remainder when i is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3763847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -1, 2467, -5, 3 in ascending order.\nAnswer: -5, -1, 0, 3, 4, 2467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 11:11 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**5\/20 - 7*a**4\/6 + 7*a**3\/3 - 7*a**2\/2 - 3*a + 27. Calculate s(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/1145? (a) 7 (b) -5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(200)*-1.\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 31*n**2 - 4*n. Let i(b) = 1291*b**2. Determine k(i(j)).\nAnswer: 51667111*j**4 - 5164*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 - -37649742935\nAnswer: 37649742935.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.092950577 rounded to four decimal places?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 4*f**2 + 0*f**2)*(-5 + 1 + 3)*(2 + 4 - 2).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from ssmuf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8140.49 times 3\nAnswer: -24421.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01111836353 rounded to six decimal places?\nAnswer: -0.011118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -31*u + 112. Let i be q(-11). Is i != 452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**5\/60 - a**4\/6 + 5*a**3\/6 - a**2. Let d(v) = -2*v - 9. Let g be d(-7). Is q(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -f - 3, 3*p = -0*p + 3. Suppose 375*l + 7803 = 2976*l. Suppose f*s + 3\/8*s**4 + 3\/4*s**l + 0 + 0*s**2 = 0. Calculate s.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(95\/(-2)) + 2\/(-20).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from {i: 1, j: 4, a: 1, c: 1, r: 4, n: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -22712.\nAnswer: 3\/22712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s - 2*s + 0*s)*(-6*s - s + 3*s)*(4 - 16 + 66)*(0 + 2 + 0) to x*s + f*s**2 + a and give f.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*(-1 + sqrt(13)).\nAnswer: -6 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -274.05 + 283. Let m = -0.05 - o. Let s = -14 - m. Put 2\/3, -2, s in descending order.\nAnswer: 2\/3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q - 2*q**2 - 6*q + 10*q**3 + 3*q + 3*q**2 + q**4 to r*q**2 + c*q + j*q**3 + o + z*q**4 and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 10*n**3 + 4*n - 45*n**2 + 96*n**2 - 52*n**2 in the form b*n**3 + h + t*n**2 + a*n and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228) - (4*sqrt(228) - sqrt(228)))*4)\/sqrt(12))**2 + (sqrt(76)*1)**2*-6.\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 3, 694, -5.\nAnswer: -5, 1, 3, 5, 694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**4\/3 + 10*o**3 + 704*o**2\/3 + 224*o = 0.\nAnswer: -12, -1, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 103 = 10*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 9 = 5*k, -2*k - 5 = -7*k. Suppose 0 = -n + a + 1, -32 = -2*n - l*a. Suppose 3*m + o = 6*m - 7, -4*o + 2 = -2*m. Solve 3*y = n + m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 24*(-3 - -16). Suppose -117 = -2*q + j. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2552.65 at most -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-99)\/(-44)*-4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*-6*(-6)\/36*(-68)\/(-12).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*y + 9 = 0. Let f(u) = u**3 - u**2 - 3*u + 1. Let z(c) = -8 - 6*c + c**3 + 9 + 5*c. Give y*z(r) - f(r).\nAnswer: 2*r**3 + r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1356*-1291\nAnswer: 1750596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 57 + 88 = 0. Suppose 9*n = 2*n + 35. Suppose 417 - 1432 = -n*t. Calculate the greatest common divisor of t and a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**3 + 45222*f**2 - 31446525*f + 31401300 = 0.\nAnswer: -15740, 1, 665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2776000.9 and -0.4.\nAnswer: 1110400.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3349 = 3*l + 2*o, 3*l - 1128 = 2*l - 3*o. Is 21 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5698802, -11397602, -17096406, -22795214, -28494026?\nAnswer: -34192842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -66 + -76 + 125 - (-122 - -2)\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 3410388?\nAnswer: 17051940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 72919, 72758, 72599, 72442, 72287?\n\"Answer: y**2 - 164*y + 73082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*f**3*p**2*z**2 + 4*f**3*p*z - f**3*z**2 + f**3*z + 7244*f**2*p**2*z**2 - 3*f**2*p + 314*f*p wrt p?\nAnswer: 20*f**3*z**2 + 14488*f**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80808 and 645687?\nAnswer: 67151448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -7*u**3 + 5*u**2 + 15*u - 4. Let k(c) = -4*c**3 + 3*c**2 + 8*c - 2. Let p(x) = -11*k(x) + 6*m(x). Give p(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*z + 16 - 52. Sort 0, 5, -1, z in ascending order.\nAnswer: -1, 0, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*b + 4. Suppose v = -2 + b. Solve -2*q - q = -k - 1, 0 = 4*k + v*q - 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 66841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2387, -9548, -21499, -38246, -59795, -86152, -117323?\nAnswer: -153314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1242*i**4 + 51*i**3 + 3726*i**2 + 2331*i - 102 = 0. What is i?\nAnswer: -1, 17\/414, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -1813*d + 577. What are the prime factors of y(-11)?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 10 + 5 = -4*r, -5*b - 25 = -2*r. Suppose r = -u + 18 - 3. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/2270 and 47\/50?\nAnswer: 11350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-14) - (-32)\/126. Let s = 73\/315 + k. Calculate the common denominator of 67\/2 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5 - 9)*-26 - 8?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 1, -1668, -2, -5 in descending order.\nAnswer: 2, 1, -2, -3, -5, -1668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*f - 91 - 4, 4*u - 5*f - 49 = 0. What is the highest common divisor of u and 188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*j**5 - 2459*j**3*p**2 - j**2*p + 96290*j*p**2 + j wrt j?\nAnswer: -660*j**2 - 14754*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1967 is divided by 535?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 571 divide 302630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*x + 2 - 54*x + 23*x)*(2 - 29*x + 26*x - 1).\nAnswer: 9*x**2 - 9*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is -18c7 (base 16) in base 4?\nAnswer: -1203013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 4 (c) 138\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/6)\/(0 - -1). Suppose h - 5 = -27. Let v = h - -45\/2. Which is the closest to v? (a) p (b) 2\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + w + 19638. Let g be t(0). Suppose -334638 = -o - g. What is o rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1189\/2 - 592. What is t in -y*t**3 - 1\/2*t + t**4 + 2*t**2 + 0 = 0?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 43.94 and -6.5517?\nAnswer: -287.881698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*(-2 + sqrt(242) + 5) - ((sqrt(242) - (-1 + sqrt(242) + 4 + sqrt(242) - sqrt(242))) + 2)) + 1.\nAnswer: -264*sqrt(2) - 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 197\/31414980 and 99\/1102280?\nAnswer: 62829960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 3, -4, -6987?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -214*k. Let g(l) = l**2 + 114*l + 2*l**2 - 97*l - 17*l. Give p(g(h)).\nAnswer: -642*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/12, 0.006, -5, -14757?\nAnswer: -14757","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 151703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**5 + 4*k**5 + 9*k**5)*(-1 - 4 + 2)*(0 + 4 - 5).\nAnswer: 48*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(6 - 2 + 92*q - 6 + (0 - 2*q + 0)*(-2 - 2 + 3)).\nAnswer: -94*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52.1 + -51.1. Let k = 0.2 - -0.3. Sort k, z, 4 in descending order.\nAnswer: 4, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76 - 77. Let j be (-35)\/(-10) - (-1)\/(-2). Which is the third smallest value? (a) j (b) 0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.1 (b) 266 (c) 37 (d) -5 (e) 0 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2486412 and 1098?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tccsfcct. What is prob of sequence ccft?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113 + 105. Let x = f + -145. Let n be ((-10)\/(-55) - (-2)\/(-11))\/(-2). Which is smaller: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0*v - 9 = -v, 0 = 4*d - v + 7. Let b(w) = w**2. Let j be b(d). What is the second derivative of -j*m**3 + m + 0*m + 3*m**3 wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + -3)**2*2 + -5*(-3*sqrt(119) - sqrt(119))\/sqrt(7).\nAnswer: -40*sqrt(17) + 868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -9. Solve n*d - s + 10 = 3*s, 0 = d + s - 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2035 and 440.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence snnq when four letters picked without replacement from {n: 5, s: 1, f: 1, q: 2, p: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 361045002 to the power of 1\/3, to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 700*s**2*v**2 - 7*s**2 - 4*s - 2193*v**4 - 11115 wrt v.\nAnswer: 1400*s**2*v - 8772*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 908673 is divided by 181728?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**4\/3 + 22*u**3\/3 + 73*u**2\/3 + 50*u\/3 = 0.\nAnswer: -2, -1, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*z - 5064 = -5*j, -3*j + 2*z + 3797 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 11*d - 12. Let n be m(-12). Let f(g) be the second derivative of -2*g + 1\/12*g**3 - 1\/40*g**5 + n*g**2 + 0*g**4 + 0. Factor f(c).\nAnswer: -c*(c - 1)*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -2 + -17 + 33 + -22.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3331*r + 43379. Give g(13).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3 - -16) + -3)\/(0 + 2). Suppose 2*l + 7 = -2*r + r, -5*l - 25 = -i*r. Let m = -0.05 - -2.05. Put m, l, 2\/5 in descending order.\nAnswer: m, 2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 91*f + 1629. Determine b(-18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -70022 divided by -1\nAnswer: 70022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.4 - -19.7. Let q = v - 14.2. Which is the closest to 1? (a) 1 (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9591, 9600, 9623, 9666, 9735, 9836, 9975, 10158?\n\"Answer: w**3 + w**2 - w + 9590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 572 is divided by 72?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 51\/20, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.8741 + 7.431. Round g to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 14*q**2 + 16*q - 13. Suppose -22 = -3*k + 17. Is x(k) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7686.4 rounded to the nearest one hundred?\nAnswer: -7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -9*h + 3. Let s = 5 - 8. What is the common denominator of m(3) and (4\/(-48)*142)\/(s\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6409, 6392, 6363, 6322, 6269, 6204, 6127?\nAnswer: 6038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 18*d - 32 - 2 = -4*d, -4*d = y + 8 + 9 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 2380503827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1e9d4 (base 15) to base 4\nAnswer: -120130003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -74?\nAnswer: 5\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 376\nAnswer: 1880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(-1*sqrt(5)) - sqrt(20) - sqrt(20))\/(6*(sqrt(64) + sqrt(4))).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -5*z**4\/2 + 395*z**3\/3 - 260*z**2\/3 = 0.\nAnswer: 0, 2\/3, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46794.94086 + -46700.94. Let w = 93.88 + 0.12. Let r = i - w. Round r to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(833) + 3 + 1 + sqrt(833) + sqrt(833))**2*-3 - ((-1 + -2*sqrt(833) - sqrt(833)) + 5*(sqrt(833)*-1 - sqrt(833)))**2)*4.\nAnswer: -653844 - 4760*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/172 and -25\/1345106.\nAnswer: 115679116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.149 + -1.116?\nAnswer: -1.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, v: 8, a: 5}. Give prob of picking 1 v and 1 a.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 times -86360?\nAnswer: -4663440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) -5 (c) -4 (d) 83139 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 0*u**2 - 5 - u**2 + u**3 + 9*u**2 + 2*u**2 + 8*u. Let h be r(-9). Solve -2*w + h = 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 4*n**2 + 3*n - 6. Let i be q(4). Let c = 25 - 21. Differentiate -i*z**4 + 7*z**c + 0 - 1 + 3 with respect to z.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*f**2 - 29*f + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -11*o**4\/4 + 2*o**3 - 10. What is the third derivative of x(q) wrt q?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93 and 20739?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7356100 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 10:04 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 12*i**3 + 3*i**2 - i + 5. Let n(k) = -25*k**3 - 7*k**2 - 9. Let l(o) = 3*n(o) + 7*w(o). What is the first derivative of l(r) wrt r?\nAnswer: 27*r**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42636*-0.1\nAnswer: -4263.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/(q\/(q*q**(-2))))\/q)\/(((q**(5\/9)*q)\/q*q)\/q))\/((q\/(q*q**(1\/11)\/q))\/q**(19\/2)) assuming q is positive.\nAnswer: q**(1393\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3858*z - 34 = 3860*z for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 39*u**2 + 41*u - 72. What is f(38)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 181 = 139. Solve -2*k + c = -4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijjij. What is prob of sequence ij?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*y + 35. Let k = y + -3. Determine z so that 4*z**k + 11*z**3 + 9*z**3 - 24*z**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-459)*2\/1*1\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29616 and 0.229?\nAnswer: 6782.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 58098964303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 + 64. Factor 0*v + 18*v**3 - 6*v**3 + 0*v + 4*v**u.\nAnswer: 4*v**3*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 4543812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2 + 14 = 0. Let f = -7 - b. Let l(i) = 2*i + 2. Determine l(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.35861m in nanometers?\nAnswer: 358610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*u + 302*u - 472*u.\nAnswer: -217*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40417888 and 1316?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2296869279?\nAnswer: 3, 765623093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-8))*k**(-9\/4)*(k*k*k**1)**(-31))**(-2\/7) assuming k is positive.\nAnswer: k**(349\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117888.8 hours to nanoseconds.\nAnswer: 424399680000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2267 + 1186 = 87*t - 2289 for t.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201 (base 3) to base 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 12:48 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**5 + 3*r**5 - 2*r**5 + (r - r + 2*r**3)*(4*r - 4*r - r**2) + r**5 + 4*r**5 + 4*r**5 + 16 - 3*r**5 - 16.\nAnswer: r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46247901 and 7.\nAnswer: 46247901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.25, 13\/7?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3 - c + 0 + 5. Let b be k(-2). Suppose -4*s + 47 = 4*x - 3*s, -s - 49 = -b*x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 711264 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 139011.93 months in decades?\nAnswer: 1158.43275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 948 + -913. What is the smallest value in 3, w, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, 5, -949 in descending order.\nAnswer: 5, -63, -949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 12*c**2 + 23*c - 23. List the prime factors of v(-8).\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 43*b - 390. List the prime factors of c(17).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-22)*v*(v**(-4\/9)*v)\/v*(v*v*v**(-23))\/(v*v\/((v*v**(-20\/3)\/v)\/v)) assuming v is positive.\nAnswer: v**(-469\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 11:01 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2258 + 0.0742. Sort -5, 1\/10, l in decreasing order.\nAnswer: l, 1\/10, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1829, 3724, 5667, 7682, 9793, 12024, 14399, 16942?\nAnswer: 19677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -358?\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1906, 1901, 1896, 1891, 1886?\nAnswer: 1881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**7\/42 + 4*d**6\/15 - 3*d**5\/5 + 192*d + 2. Factor o(m).\nAnswer: -m**3*(m - 6)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 274747.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256\/(-10)*4895\/(-35244).\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, e: 2, w: 1, a: 7, n: 1, s: 5}. Give prob of picking 1 a, 1 s, 1 w, and 1 e.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.7 - -5.7. Which is the smallest value? (a) -1 (b) 0.03 (c) -0.2 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1538215*y - 2794814.\nAnswer: 1538215","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/10632 and -83\/33.\nAnswer: 116952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4187924 divided by 2093962\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/2907 and 62\/12601845.\nAnswer: 12601845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -4601*m**5\/60 - m**4\/12 - 5411*m**3\/6 - 4*m**2 - m - 5. What is the derivative of w(y) wrt y?\nAnswer: -9202*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2430 and 1620.\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -15. What is the remainder when p is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -46*b**2 - 5. Let v(j) = 2*j**2 + 24. Give v(i(z)).\nAnswer: 4232*z**4 + 920*z**2 + 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2 - (-10 - (14 - 29))) + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - h**3 - 1 + 2*h**3 + 3*h**3 - 3*h**3 + (-4 + h**2 + 4)*(0*h + 2*h - 4*h) - 44*h**3 + 2625*h**3 - 513*h**3.\nAnswer: 2067*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3628661678 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1152 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -972*c**5*l**2 + 117*c**4*l - 1889*c*l - 2*c + l**2 - 3*l + 9 wrt c.\nAnswer: -19440*c**3*l**2 + 1404*c**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1\/9, -4, 8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - w = -3*b + 38, w + 26 = 3*b. Suppose b = -4*p + 2. Sort 1, p, 4 in descending order.\nAnswer: 4, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -231, 376, 981, 1584, 2185, 2784?\nAnswer: 3381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -572 divided by -238\nAnswer: 286\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -2*l + 5\/6*l**4 - 4*l**2 + 0 + 0*l**3. Find the first derivative of y(k) wrt k.\nAnswer: 20*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -12*f + 357. Let p = f - 27. Let j = 23 - 20. Solve -a = 2*a - s + 16, p = -3*a + j*s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-5 - (-51 - (4 - 0 - 15)))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41.8 + -41.5. Which is the third smallest value? (a) y (b) -355 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(15 - (-6 + (-1053)\/(-54))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 299, 301, 313, 341, 391?\n\"Answer: y**3 - y**2 - 2*y + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7340541826?\nAnswer: 2, 17, 463, 466303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/7 - 951301*x**2\/7 + 2989734*x.\nAnswer: x*(x - 951279)*(x - 22)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 8:30 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0266 > -12\/233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - 75. Let t be (3 + -3)*(-11)\/33. Put a, t, 5 in decreasing order.\nAnswer: 5, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 3 + 9. Is -10\/11 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1444582749 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 2)*(0 + k + 0) + 19*k - 10*k + 37*k + 2*k + 0*k - 5*k.\nAnswer: 46*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1490, 1487, 1482, 1475, 1466, 1455?\n\"Answer: -y**2 + 1491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -28, -0.3, -1\/3, 159\/40?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*f + 24 = -f, -14 = -5*v + f. Suppose 0 = q - q + 6*q. Suppose 5*b - c = -0*c, q = -b + 4*c. Solve -3*z + v + 1 = b for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.538 - 17.452. Let t = -509 + 531. Let y = l + t. Round y to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydldiiedyiedellleki. Give prob of picking 1 l and 1 y.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/98986464 and 131\/894456.\nAnswer: 296959392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.4 + -925817291.99.\nAnswer: -925817280.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-4))\/(14*3\/84)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 0 - 6) + 108 + -108?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, g: 3, c: 4}. Give prob of picking 3 c.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-40 - 0) + (14 - 3 - (-12 - (12 - 27)))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*l - 8*l**2 + 4*l**2 + 11*l + 5*l**2 - 4 in the form h*l**2 + y + q*l and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 7. Let w = -56 - -61. Let h(o) = -o - 4*o + o + w*o. Let l(m) = 3*h(m) + n(m). Determine l(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101 + -101110110110010?\nAnswer: -101110111110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-seven halves of a century?\nAnswer: 3850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (52\/36)\/((81\/(-27))\/((-5)\/((-5)\/3)))\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -128*m + 133*m. Suppose -41*o = -m - 67. Solve 3*x = x - o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-3 + 8)) + -97 + 90?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 850162123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1429\/9 + (-4 - (-152)\/36) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2868, -5838, -8810, -11784, -14760?\n\"Answer: -l**2 - 2967*l + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5191?\nAnswer: 29, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2110 (base 7) to base 16.\nAnswer: 2e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 374, 858, 1548, 2450?\nAnswer: 3570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 5*l - 22. Let d be m(10). Let y be d\/24*(-9)\/(-4). List the prime factors of (-117)\/6*y\/(-18).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 62\/4 + (-6)\/12. Suppose -n = 5*v - 5. Let d = 6.2 + -1.2. Which is the second smallest value? (a) v (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4, -2*o = -4*a - 4*o + 274. Calculate the greatest common divisor of 306 and a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((6 + 34\/(-6))\/(1\/(-3))). Sort -2, 6, x, -62, -5 in decreasing order.\nAnswer: 6, -2, x, -5, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2233\/(-33))\/((12\/261)\/(-4)).\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -25, 0.12, 2\/17, -0.049, -3\/4?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -254625632 + -4?\nAnswer: -254625636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 g, 1 d, and 1 a when four letters picked without replacement from {d: 1, x: 1, a: 4, g: 6, r: 1, n: 2}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 - (40 - 49)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 8) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 36, 89, 194, 369, 632, 1001?\nAnswer: 1494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 960 divide 11338560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6576 divided by 8.\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**1*s)\/s)**(2\/17)\/(s**0\/s)**13 assuming s is positive.\nAnswer: s**(223\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1050, -1408, -2340, -4122, -7030, -11340, -17328, -25270?\n\"Answer: -46*f**3 - 11*f**2 - 3*f - 990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -20.3392*-45\nAnswer: 915.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2 = 2. Let b(h) = 2*h**3 + h**2 - 1. Let j be b(r). Let n be 6 - (j + -3 - 0). Solve -n*v = -2*v + 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3449 + 3448. Let p(k) = 2*k + 11. Let q(c) = -c - 1. What is t*p(i) - 6*q(i)?\nAnswer: 4*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 15) in base 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150368 + 27703 - 24691 = -3349*c for c.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -7867012347\nAnswer: -7867012346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 689, 2, -3, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**5\/120 + 4*l**3\/3 - 2. Let d(t) be the third derivative of b(t). Let x(q) = -q. Give d(x(i)).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fadf when four letters picked without replacement from {k: 1, d: 1, f: 2, p: 2, l: 1, a: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3724118059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*l**2 - l**2 - 7*l**2.\nAnswer: -52*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7*j - 23 = -3*p, j + 18 = 4*p. Let h = 9 + -5. Which is smaller: p or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90 + 62. Let f be (-12)\/17 - q\/42. Is 0 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36056*m**2 - 6272*m + 2 + 6272*m - 2 + 3*m**3 + 36056*m**2.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 523 a factor of 368715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u**2 + 6*u - 7. Let g = -19 + 25. Let z(l) = -l**2 + l - 1. Calculate g*z(v) - h(v).\nAnswer: -v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5467 + 11389 + 3990 - 3265)*(s**2 + 5*s**2 - 4*s**2).\nAnswer: 35162*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 3*g - 5*k, 3*g = 2*k + 479 - 515 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000961 to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81751 - 55794. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -46512, 5, 2\/9, 0.4, 1\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjirrrijrijrrij. What is prob of sequence irii?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (378\/168)\/(390\/(-80)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 803587, 7 in ascending order.\nAnswer: -5, 7, 803587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**8\/672 + q**7\/70 + 11*q**6\/240 + q**5\/20 + 124*q**2. What is l in i(l) = 0?\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 42 + 10 = 0. Let a(w) = -225*w. Let q be a(g). Round q to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 480 + 491 = 0. Sort q, 0, 16, 9.\nAnswer: 0, q, 9, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j**2 + 65*j + 25. Let w(v) = -v**2 + 16*v + 6. Let o(h) = -2*l(h) + 9*w(h). Let n be o(-7). Let i = n + 65. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-51 - 11*d**2 + 51)*(-31*d**2 + 25*d**2 - 575 + 589 + 5*d) as b*d + f*d**2 + j*d**3 + q*d**4 + o and give f.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-7 - 0 - -7) - -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 7 and -648 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -97, -5, 1, -27, 3, 14 in descending order.\nAnswer: 14, 3, 1, -5, -27, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(2\/20*-2). Suppose -4*i - 40 = -5*r - i, -c*r - 2*i = -65. What is the smallest common multiple of 5 and r?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwwww. What is prob of picking 4 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6082200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -238? (a) -1.1 (b) 2 (c) -16 (d) 3\/11 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16697\/6 - 2783. Which is the nearest to 0.1? (a) 2\/9 (b) 0.5 (c) 3\/4 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 27*d**2 + 56*d + 12. What is the lowest common multiple of 140 and p(-29)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/7 - 448*p**2 + 1260072*p\/7 - 23963040\/7.\nAnswer: 2*(p - 774)**2*(p - 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 9315429.543?\nAnswer: -9315432.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 3131*v**3\/6 + 542*v. Let r(b) = -2*b**2. Give n(r(w)).\nAnswer: -6262*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24979\/6 - 4163. What is the second smallest value in -0.9, -5, a, 60?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2367432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1591378 and -125.\nAnswer: -198922250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*t = 44*t + 356194 - 1075834. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*p**2 - p**3 - 3*p - 162449*p**4 + 6 - p + 162451*p**4 as v*p + b*p**4 + c*p**2 + m + y*p**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c + 20*c - 39*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3)\/(n**(-6)\/n))\/(n\/(n*(n*(n**(-2)*n)\/n)\/n)*n**(-1\/2)) assuming n is positive.\nAnswer: n**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2. Let l = -24 - -81. Let k = -51 + l. Let b(f) = 9*f**2 - k + 6 - 42*f**2. Calculate x(b(u)).\nAnswer: 2178*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.08734755267 from 10.\nAnswer: 10.08734755267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/(208\/144*-9)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73982875.\nAnswer: 5, 591863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9264)\/(-2702))\/((-48)\/(-28) - 2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 25355100 (base 8) to base 15\nAnswer: 762157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is be - -1a?\nAnswer: d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*(4*(sqrt(288) + 0) - (sqrt(288) - (-1 + sqrt(288) + 0))))**2.\nAnswer: -864*sqrt(2) + 41484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -3) + -101 - ((-8 - 20) + (1 - -15))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-63)*387 + 47?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 906426.\nAnswer: 2, 3, 37, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 635\/7 - 91. Let u(d) = -2*d**3 + 7*d**2 - 3*d - 1. Let k be u(4). Put -5, s, -1, k in increasing order.\nAnswer: k, -5, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 163446606 - 163446614.0000013. Let q = o - -8. Round q to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 546\/(-936) - 1\/(-4). Which is the second smallest value? (a) 3.8 (b) -6 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5385304 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 25086*x - 157326849.\nAnswer: -(x - 12543)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (-116)\/16 - 9\/(-12). Suppose -2*b = -14 - c. Suppose -534 = -5*r + 426. Calculate the greatest common factor of r and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**4\/9 - 32*k**3\/9 - 484*k**2\/9 + 544*k + 5202 = 0?\nAnswer: -9, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 33079 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2. Let m(u) = 3*u + 44. Let k(i) = m(i) + 6*o(i). Find the first derivative of k(l) wrt l.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -12 + ((-441)\/288)\/((-3)\/24). Let -5\/2*b**2 + 29\/4*b + s*b**3 - 5 = 0. Calculate b.\nAnswer: 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 62 = 5*i, -g + 3 = -3*i - 26. Suppose 0 = -u + g + 65. Round u to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341 = 8*k + 285. Let g(u) be the first derivative of -k + 2\/15*u**3 - u**2 + 8\/5*u. Factor g(f).\nAnswer: 2*(f - 4)*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 11 - 16*t - 10*t + 25*t. Let q be n(11). Suppose -3*p - 20 + 101 = q. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*(-2)\/(-6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -1 - (-29368 - (6 + 12\/(-12)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, 193, 625, 1245, 2059?\nAnswer: 3073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -8 + 30 + -36 - (-9 + 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - -1. Suppose f - 16 = -3*f + 2*y, 6 = -d*f - 4*y. Does 10 divide 25 + -2 - (f + -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -30. Suppose 3*f = -5 + x. Suppose -60 = -k - f*k. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -16*i**2 + 119*i - 165. Calculate n(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 59 = u + 3*u, -5 = 5*u. Let l = j + 14. Find the second derivative of g + 33*g**3 - 31*g**l + 2*g wrt g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 1874\/5, 0.3, 0.5, -1 in descending order.\nAnswer: 1874\/5, 0.5, 0.3, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 8)*(j**2 - 11*j**2 + 0*j**2).\nAnswer: 100*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1912)\/(-10) + (-2)\/10. Let x = 280 - s. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117*h + h**3 - 112*h - 119*h + 348*h + 437*h**2 to the form p + v*h**2 + r*h**3 + d*h and give v.\nAnswer: 437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 7, 18, 33, 52?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 5. Suppose 3*c - 547 = q*t, -c - t - 368 = -3*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f - 6*f - 2*f - 242174.\nAnswer: -7*f - 242174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 5, 2\/11, 859, 1132?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**2 - 4466301*j. Let i(y) = -y. What is i(s(x))?\nAnswer: 3*x**2 + 4466301*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.6176 + 0.0824. Which is the smallest value? (a) -0.5 (b) -1.4 (c) o (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 22, 32, 34, 28, 14, -8, -38?\n\"Answer: -4*m**2 + 22*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + a + 1. Let r be p(0). Suppose -j + 3 - r = 0. Suppose 6*y - 14*y + 8 = 0. Which is bigger: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/16)\/((-1)\/(24\/27)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2224*u**4 + 2226*u**3 + 4394*u**2 - 3*u + 132?\nAnswer: -53376*u + 13356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 1. Let a(o) be the second derivative of -14*o - 1\/2*o**2 + 0 - 1\/6*o**3. Calculate a(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 0 - 4*q**2 - 1 + 3*q**3 + 11 + 2*q - 6. Let u(j) = 4*j**3 - 3*j**2 + 2*j + 3. Let f(d) = 5*g(d) - 4*u(d). Give f(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -1855 - -3388. Is h a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjss when four letters picked without replacement from sssssssjsjssssjsjj?\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-2)\/(-10) - 42\/(-10). Let j = -386 - -580. Suppose k*q - j = 126. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 35 = -s, -334*s + 332*s = 3*y + y + 14 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*h - 2160 = -8*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 25 = 30. Which is the third biggest value? (a) s (b) 7 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -35*t**2 - 84*t + 1. Let d be i(-2). Solve -35 = -5*m - 4*j, 3*m + 7*j - d = 3*j for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 34 - 14 = 0. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2689787886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -4. Let m = -43 + 83. Suppose 0 = -5*g + 5*y, 5*g - y + 4*y + m = 0. What is the second biggest value in q, -3\/7, g?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -4.37813?\nAnswer: 2.626878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.8 + 15. Let h = -0.8 + q. Let g = 9 - 5. Which is the second biggest value? (a) 0.3 (b) h (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24915, 49852, 74807, 99786, 124795, 149840?\nAnswer: 174927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 367*b**3 + 138519*b**2 - 138519*b**2.\nAnswer: -367*b**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/3870462 and 71\/2700?\nAnswer: 1741707900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 98*c*u**3 + c*u**2 - 15*c*u - 3*c - 7*u**2 + 24*u + 4 wrt u.\nAnswer: 588*c*u + 2*c - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 a factor of 142239985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1609? (a) 22 (b) 1\/6 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.16, 71, 0, 0.2, 0.3, -244, -3.8?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -6.82.\nAnswer: -7.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 9 + 0 = 0. Let t(b) = -b + 9. Determine t(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 30, 26, 22, 18, 14, 10?\n\"Answer: -4*r + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 2, -2418897, -1, -4, 16 in increasing order.\nAnswer: -2418897, -4, -2, -1, 2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*d**3*o**2*p**3 + 37*d**3*o*p**2 + d**3*o - 39*d**2*o**2*p**3 - 4*d**2*o**2*p + o**2*p**2 + o**2 wrt p?\nAnswer: 174*d**3*o**2 - 234*d**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**12\/(w\/(w\/w**(-8)))*(w\/(w\/w**(-18))*w)\/w**(-1\/10) assuming w is positive.\nAnswer: w**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -163 - -163.485. Let k = 45 - 45.31. Let j = a + k. Round j to 2 decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 3433012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w + 26. Let h be k(-8). Suppose 2*l - 868 = -3*s, -860 = -3*s - 6*l + h*l. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**3 + 336*i**2 - 7*i + 992. What is the tens digit of h(-167)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/7)\/((-2)\/(-28)). Solve -5*l + 23 = n, y*l + 4*n - 5*n = 22 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*q + q + 7*q + (-1 + 1 - 1)*(-2*q + 1 - 1).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 217 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-4 - 11 - -15 - (21 - 11))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -6 + 5 + 5 + 3 - (83 - -3)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 184339807674 less than -1.4?\nAnswer: -184339807675.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.15 - -2.85. Let g be -7 + 42\/6 - ((-70)\/(-20))\/(-7). Sort d, 5\/2, g in descending order.\nAnswer: d, 5\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**4\/2 - 12*a**3 + 99*a**2\/2 = 0. What is a?\nAnswer: -11, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 1403*p**4\/4 + 719*p**2 - 1428. Find the second derivative of f(c) wrt c.\nAnswer: 8418*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 8:19 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2\/5 (b) -183.63 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40\/(-15)*(2 + 1). Let l = c + 8. What is the third biggest value in 3, 0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/51)\/(j\/(j**(2\/63)\/j*j*j)))**(-1\/24))**(-3\/17) assuming j is positive.\nAnswer: j**(-1\/18207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 169*w**2 + 690*w + 351. Calculate t(173).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 8) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 3121.\nAnswer: 4\/3121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-3 - (-95)\/60)*-6. Solve -3*o + h = 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-24)*12)\/(2\/218884) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -93, -149, -205?\n\"Answer: -56*t - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000018668636 to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvnnbnvvnvb. What is prob of sequence bn?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4100*x - 11903*x - 198237 = 3858*x for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2327307704 and 2056.\nAnswer: 2056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nl when two letters picked without replacement from alnllnnallnllln?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761581537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i + 3. Let u(f) = -2*f + 10. Let b(d) = d - 6. Let o(q) = -q**3 + q**2 - 9*q + 17. Let t be o(2). Let r(w) = t*b(w) - 3*u(w). Determine r(x(z)).\nAnswer: 3*z + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -11 + (-224 - (-180 - -66)).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 3. Let z be l(-3). Let k = z + 6. Suppose 2*a - a - 10 = k. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/27153 and -80\/63357.\nAnswer: 190071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -293 at least as big as 215087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -39. Let t(c) = -2*c**2 + 1 + 16*c**3 - c**2 + c + 2*c**2. Is t(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 11*g**3 - 2*g + 1. Let u be h(1). Let x be (-2 - u\/(-4))*4. Let v(t) = t + t**x - t. Let o(r) = -r**2. Determine v(o(w)).\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + sqrt(1872) - sqrt(1872)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from elllslllleeel. What is prob of sequence ee?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*l**3 + 27 + 21 - 47.\nAnswer: 55*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46364.56999584 + 46360.37. Let d = 4.2 + w. Round d to 7 decimal places.\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-32)\/(-4))\/168)\/((-2)\/18)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/(-1) + (24 - 978)\/(2\/(-9)) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by -30.\nAnswer: -16\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-5) + (-1)\/((-8)\/14). Let o be (-343)\/(-1029)*(18\/4)\/3. Which is the closest to -1\/2? (a) 25 (b) m (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 4. Suppose 0 = 5*i - k*h - 120, -3*i + 0*h - 5*h = -41. What is the least common multiple of i and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309646 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -350480000 rounded to the nearest one million?\nAnswer: -350000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34 * 0.388.\nAnswer: -13.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38.537 in 2, 5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -561125*b**3 - 151500400*b**2 + 904495*b - 1350.\nAnswer: -5*(b + 270)*(335*b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/2385?\nAnswer: -2\/2385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 x when four letters picked without replacement from tttttexltttltttuttt.\nAnswer: 91\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((-89)\/14 - (-54)\/36).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14226608 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 462134580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 46 times -21374\nAnswer: -983204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, n: 1, q: 1, x: 2, z: 2}. Give prob of sequence xi.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420 = -67933*c + 67891*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -0.4\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -0.03, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(612) + 1*sqrt(612)*-6 + 6*(2 + sqrt(612)))*4*-1)**2.\nAnswer: 2448*sqrt(17) + 12393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**2\/3 + 9736*h + 29206\/3 = 0.\nAnswer: -14603, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 187468927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/2 of a centimeter?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*v - 4, -5*n - 22*v + 2 = -21*v. Solve n = 8*u - 415 + 431 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**6 - 3*d**5 - 4*d**4 + 14*d**2 + 3*d. Let l(z) = -z**5 - z**4 + z**2 + z. Let o(f) = -3*l(f) + r(f). What is the third derivative of o(c) wrt c?\nAnswer: -360*c**3 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(7\/4))**(-32)*z**28\/(z*z**(12\/7)))**(-50) assuming z is positive.\nAnswer: z**(10750\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*x + 383*x + 6*x**3 - 194*x.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2. Let v(m) = -3*m. Suppose 5*z + 3*w = 48, -z - z = 2*w - 16. Let l(j) = j. Let i(f) = z*l(f) + 5*v(f). Determine i(t(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 780887 (base 10) in base 14?\nAnswer: 164819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*w = -3*w, 0 = 2*c + w. Let g be (-46)\/(-2) - 1\/2*c. Suppose -g = -3*q + 10. Sort -2, q, 4 in decreasing order.\nAnswer: q, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 1282*g - 1236. Let o(b) = -28*b**2. Calculate y(o(p)).\nAnswer: -35896*p**2 - 1236","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-45))\/((-21)\/(-756)))\/((-19)\/190)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqiloilxxoiqxixxxzqi. Give prob of picking 1 i, 1 x, and 1 z.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 609275 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.06, 7138412, 4?\nAnswer: 7138412","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 10:47 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 678679?\nAnswer: 1357358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, r: 2, h: 4, l: 1}. Give prob of picking 1 s and 2 r.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6\/551 + 28706\/4959. Calculate the common denominator of (-8)\/(-18) + (-41738)\/5904 and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4338 and 8366556?\nAnswer: 25099668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 6:37 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010 divided by -286?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*(-1 + sqrt(300) + -2 - (-4 + (sqrt(300) - (-2*sqrt(300))**2))))*3*-3.\nAnswer: -10791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*y = 52. Suppose 5*j - 34 = 3*w, -3*j + w = -y - 5. Sort -2, -3, j in descending order.\nAnswer: j, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -0.5 (c) 63 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 11, o: 1, l: 3}. What is prob of picking 1 o and 3 b?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42573084 rounded to the nearest 10000?\nAnswer: 42570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -252219, -1008855, -2269907, -4035375, -6305259, -9079559?\n\"Answer: -252208*g**2 - 12*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65681, 65684, 65671, 65636, 65573, 65476, 65339?\nAnswer: 65156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.7566 - -3.8566. Which is the second biggest value? (a) 3 (b) -4\/5 (c) -839 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 387 and 11507531.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 297147941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14945?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9733.061 micrometers in centimeters?\nAnswer: 0.9733061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6859\/10788 + 71\/124. What is the common denominator of s and -11\/2?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -252 by -2.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-432)\/(-90))\/((-56)\/105)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4725 + 6219 = 288*n for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 929, 1175, 1421?\n\"Answer: 246*z + 683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 13 + 35 + 3*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3 + (-2 + 5 - 2)*(3 - 2 + 0) + 2 - 4 - 2)*(431*z**2 - 435*z**2 + 1047 + 2*z - 384).\nAnswer: 8*z**2 - 4*z - 1326","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-2306))\/(9\/(-6)). Let y = 29988\/5765 - p. Let j = -276\/55 + y. Is j not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*1 - 249526179\/(-88). Let m = g - 2835464. Let i = m + -579\/11. Find the common denominator of i and -67\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 2:48 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12? (a) 95 (b) 4\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2004176935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*j - 4878 = -40*j. List the prime factors of j.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450 = -61*p - 29*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.198072 litres to millilitres.\nAnswer: 6198.072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163, -651, -1449, -2545, -3927, -5583?\nAnswer: -7501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1455.\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g - 10. Suppose -20 + 5 = c. Let z be p(c). Solve o + 1 = u - 3*u, 6 = o - z*u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + d6d0?\nAnswer: d6c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 348414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5436 - -3536. Let z be 6 - v\/(3 + 2). Which is smaller: 387 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 141780.\nAnswer: 283560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**4\/24 + k**3\/6 - 2*k**2. Let z = 3 - 1. Let n be (-2 + 4)*z\/(-1). Calculate w(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*c, 0*d + 5*d - 4*c = 96. Suppose 3*n = n - d. Let v = -6 - n. What is the smallest common multiple of v and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -213043, -852167, -1917391, -3408727, -5326187, -7669783, -10439527?\nAnswer: -13635431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 925*r**3\/3 + 2*r**2 + 11*r + 287. What is the second derivative of u(i) wrt i?\nAnswer: 1850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567)\/sqrt(81) + -2.\nAnswer: -2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20840 - -20845. Solve -2*f - 5*t = 0, -5*f - v*t + 7 = -8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 o when two letters picked without replacement from oongpngglgglllggnng?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*t + u, 5*t - 5*u + 0 = 15. Calculate the lowest common multiple of 12 and t\/(-12) - (-20)\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m - 14*m - 100*m.\nAnswer: -123*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2301 + -2212031?\nAnswer: -2220332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -40*s**2 + 6*s + 1. Let b(t) = -27*t**2 + 4*t + 1. Let o(h) = 7*b(h) - 5*p(h). Let v be o(2). Suppose v = a + 3. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h - 3 + 6*h**2 - 2 + 4 + h**3. Determine a(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 6*y - 2 = -8*y, -3*a = 5*y + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/(-3))\/(2 + 14\/(-6)). Suppose 528 = -11*q + b*q. Let u = 217 + q. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*u = -2*u + 26, 5*u = -5*x + 35. Suppose -5*t + 3*t = -l + 2436, t + 1204 = x*l. What is t rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 395 - 380. Suppose 6 = -2*f + 2*k, 4*k = -5*f - k + i. Let b(a) = -2*a - 1. Let z be b(-1). Solve -3*x = -4*l - f - 13, 5*l + 2*x - z = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n - 2*n + n + (1 + 0 + 1)*(1 - n - 1) + 4*n - 3*n - 4*n + (1 + 11 - 3)*(0*n + 4*n - 9*n) in the form z*n + r and give z.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.04, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b + 12. Let f be p(8). Let j be 6 - ((-136)\/(-18) + 76\/171). What is the smallest value in f, 1\/4, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(2 + (-2)\/(-4)). What is the second derivative of -o + o**x - 2*o**5 + 3*o**5 + 2*o wrt o?\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54*x**5 + 44*x**3 + 524*x**2 - 1717768*x wrt x.\nAnswer: -1080*x**3 + 264*x + 1048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 3) + 35 - (-29 + 18 + -8 - -21).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 3. Let y be r(4). Let v be y\/6*2*21. Determine f, given that -3*f + 8*f**2 + 4*f - v*f**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 961479607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*y + 4*y**2 + 0*y**2 + 3*y**2 + 8*y in the form z + j*y + d*y**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 320 + -317. Suppose p*k - 10 = -2*k - 4*b, -27 = k - 5*b. Let w(v) = -2*v**2 + 2*v + 2. Let l(n) = n**2 + n + 1. What is k*w(g) + 4*l(g)?\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137947, -137948, -137949, -137950, -137951, -137952?\nAnswer: -137953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1.2, -5.67, 4.\nAnswer: -5.67, -1.2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -41.7?\nAnswer: 30.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 1222*u - 1236*u. Let n = -14.97 - 0.03. Sort -4, u, n in descending order.\nAnswer: -4, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 538\/5 + (-4)\/(-10). Suppose -3*j = 3*j - z. Let h = 38 - j. Does 20 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((-6 - -5) + 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(-4 - 5\/(-2)). Find the second derivative of 3*o**3 - 99*o**2 - o**v + 134*o**2 + 30*o wrt o.\nAnswer: 12*o + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -235, -296, -1269, -3868, -8807, -16800, -28561?\nAnswer: -44804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 0 + 0*s + s**2 + 3\/5*s**5 + 8\/3*s**3 - 2*s**4. Solve y(a) = 0 for a.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*p + 6457, 25990 = 4*b + 8*p - 10*p. What are the prime factors of b?\nAnswer: 2, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**2 - 6*x + 0*x + 3*x**2)*(-4*x**2 + 3*x**2 - 2*x**2).\nAnswer: 6*x**4 + 18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*k - k. Suppose -2*a - 134 = -2*y, -5*a = -k*y - 4*a + 130. Let p = y - 14. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/((-168)\/(-504)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 158, 0, -4, 1, 5 in decreasing order.\nAnswer: 158, 5, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/8 and -15\/146752?\nAnswer: 146752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 1 - 3. Suppose -3*o + 0*z + 3*z - 16096329 = 0, -x*z = 3*o + 16096336. Let c = o - -3765444. Round c to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17 - 25aa?\nAnswer: -2593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 164142 (base 7) to base 10\nAnswer: 32664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 22333*z + 2236. Is n(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*o + 122 = 118*o - 21*o - 25 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -129816*u**2 + 64933*u**2 - 3*u + 64930*u**2. Let i(t) = 12*t. Determine i(h(y)).\nAnswer: 564*y**2 - 36*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -196*a - 23141. Give c(-119).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 7:17 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5220797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005618738 less than 1014?\nAnswer: 1014.005618738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a factor of 13150044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 144 times 2\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -23. Let g be l\/22 + (-7)\/(-2). Solve 4*w - g = -11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -34. Suppose 29 = r*l - 35. Differentiate -l + u - u + 31*u**4 wrt u.\nAnswer: 124*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001492119 to six decimal places.\nAnswer: 0.000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + q - 1. Let g(o) = -o**3 + 7*o**2 + 2*o - 9. Let a be g(7). Let w(p) = 2 - a*p**2 + 3*p - 4 - 2. Let x(c) = w(c) - 4*z(c). Factor x(l).\nAnswer: -l*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9273 and 528.\nAnswer: 148368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -48850, -48847, -48844?\n\"Answer: 3*r - 48853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12 - 11)\/(2\/(-30)*-3). Suppose -1096 = -r*l + 119. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44051 + 82285 = -1344*z for z.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, t: 2}. Give prob of sequence yt.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*q - 10, 2*h + 40 = 2*q + 4*h. Calculate the remainder when 41 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 359*z + 10831. Let b be f(28). Let n = 6 + -8. Put -12, n, b in increasing order.\nAnswer: -12, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 33. Let l = -14 - c. Is -6 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3*j**3 + 103202*c**3 + 18*c**2*j - c*j**3 - 82409*c + 47*j**3 wrt c.\nAnswer: -12*c*j**3 + 619212*c + 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -t - 105, 5*t = -5*z + 234 + 51. What is the third derivative of -z*u**4 - 3*u**6 - u**2 + 54*u**4 wrt u?\nAnswer: -360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 5 = 8*l. Let d = 10 + l. What is the common denominator of (-62)\/(-6) - (4 - d) and 53\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -9*u - 15. Let o be i(-2). Suppose 0 = 2*x + 4*a + 10, -5*a - 20 = -2*x + o*x. Solve -x*z + 2*t + 3 = 5*t, 14 = 2*z - 2*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 298 + 27*j**4 + 4*j**4 - 315 wrt j.\nAnswer: 124*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10704429 and 17?\nAnswer: 181975293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -3, -4, 4, -46 in decreasing order.\nAnswer: 4, -3, -4, -46, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or 174023\/15443?\nAnswer: 174023\/15443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 159 = 2*a - 148, j + 5 = 0. Let s = -1\/205 + 13331\/1230. Calculate the common denominator of a\/21*4\/(-24) and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 592 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1*(-1)\/12*22852\/(-197).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/91 - (-340)\/(-13). Let a = -11 - i. Suppose -a*r = -11*r - 16. Solve -4*m + 12 = r*n, -3*m = -6*n + 4*n - 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111136.5 - -5682.14?\nAnswer: -105454.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 5, -3\/2, -3, -0.007?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gho when three letters picked without replacement from {h: 1, j: 1, w: 1, y: 1, o: 6, g: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -188 + 121. Let h = m - -62. Which is the biggest value? (a) 0.3 (b) h (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04993 and -7?\nAnswer: 0.34951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000007955 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + 3*w - 4*w)*((2 + 0 + 5)*(-4 + 4 + w) + 2*w + 0*w + 5*w).\nAnswer: -84*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 12*q**2 + q + 2. Suppose p + 3*t - 6*t = -10, -4*p + 12 = t. Suppose 2*r + b = -3*b - 24, -2*b = -4*r + p. Is 24 a factor of k(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h*h**(-16))\/(h**(9\/5)*h))**(-2\/5))**0)**(2\/53) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/9 of a day?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, m: 3, v: 1}. What is prob of sequence mc?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.06 (b) -144 (c) 5 (d) -0.2 (e) 73 (f) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1065495?\nAnswer: 3, 5, 251, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 - 53*k - 11. Let z(a) = -a**3 - 18*a - 4. Determine 4*g(c) - 11*z(c).\nAnswer: 3*c**3 - 14*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**4\/12 + 8*g**3\/3 - 6*g**2 + 9*g. Let d be v(14). Solve 5*s = -3*w - d, 2 = -2*w - 3*s - 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 + -68. Factor -23*s**2 + 19*s**2 + 32*s**2 - 4*s**c.\nAnswer: -4*s**2*(s - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1216*z**2 - 1304*z**2 + z - 3*z - 2 + 555*z**2.\nAnswer: -1965*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 18*s**2 + 17*s + 142. Does 55 divide n(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1155105006\/(-105) + 50\/875. Round f to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1\/22 (b) 0.32 (c) 0.4 (d) 2\/13 (e) 1 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 4*s**2 - 3*s. Let p be w(4). Let m = -5 - p. Suppose 0 = 2*n + 3*o - m, 20 = 4*n + 5*o - o. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -11.1. Which is bigger: l or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*r - 49 + 168 + 130 - 524 - 464.\nAnswer: 64*r - 739","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.4822km in micrometers?\nAnswer: 82482200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 136445982?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 7 = 3*b, b + 17081 - 17086 = -q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -38677585 divided by 38677585?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -41) + -148 + 127\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**2 + 130*v - 280 = 0.\nAnswer: -28, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -168 + 4*q**2 + 404 - 15*q - 256 + (-2*q + 4*q + 0*q)*(0*q - 2*q + 5*q) as j*q + f + d*q**2 and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -131*a + 0 + 136*a + 1 + 2*a**2 to the form n + k*a**2 + f*a and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(1\/3)*n))**(-15)*n**(-1\/5)*n**(-5\/4) assuming n is positive.\nAnswer: n**(171\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 768942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1086*r**3 - 459*r**2 + 18*r + 90. Let k(d) = -d**2 - d - 5. Let u(l) = -18*k(l) - m(l). Find the third derivative of u(n) wrt n.\nAnswer: 6516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61304 - 914 = 90*d. Does 19 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 926*p**2*z**3 - 328*p**2*z**2 - 3*p*z**3 + 2*p*z - p + 10*z**3 wrt p.\nAnswer: 1852*z**3 - 656*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6 (b) 18.8 (c) -1\/4 (d) -5 (e) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v + 0 + 0)*(-61*v - 2 + v**2 + 32*v + 63*v) to the form i + q*v**3 + l*v + u*v**2 and give u.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*f*w**2 + 17708*f*x - 2*w**2 + 872*w - x + 1 wrt f.\nAnswer: 4*w**2 + 17708*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3492 is divided by 106.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -128*h - 164. Give m(-1).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*s + 26 = -940 - 280 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 8:26 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w = 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 5 + 0*c + 0*c**3 + 1\/90*c**5 - 1\/36*c**4 - c**2. Let v(u) be the second derivative of x(u). Factor v(p).\nAnswer: 2*p*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2796 times -1504?\nAnswer: -4205184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 16. Suppose -n*d = -d - 12. Suppose 4*r = -0*m - 5*m + 40, d*r - 40 = 4*m. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 6*b - 3. Let c be a(4). Suppose 0 = c*y - 489 + 6039. Round y to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 997\/540203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17443, 35574, 53707, 71842, 89979?\nAnswer: 108118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -4. Let p = 3 + t. Let s = p - -0.7. Which is the nearest to -1? (a) s (b) -4\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -1791*h + 12747. Give m(7).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -849*l + 11*l**2 - 2002*l - 4*l**4 + 2062*l wrt l?\nAnswer: -48*l**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**4\/6 + 16*v**3\/3 + 15*v**2 - 34*v - 36. Calculate d(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -123 - -121. Which is the fourth biggest value? (a) r (b) -5 (c) -0.4 (d) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 597*c = 9602 + 17263 for c.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 2. Let o be (-204)\/85 + 2\/5. Let h = o - -6. Let m be (2 - 0)*(h + -3). Give f(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/6)\/((-6)\/(-112)). Put -5, y, 4 in decreasing order.\nAnswer: 4, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71*p**5 - 61*p**5 + 117*p**5)*(-4 + 2 + 0).\nAnswer: -254*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 35*v**2 - v. Is f(-2) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -264 + 612. Is i a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 14*g**3 - 10*g**2 + 10. Let a(w) = -5*w**3 + 3*w**2 - 3. Suppose 43 = 22*o - 23. Determine o*h(d) + 10*a(d).\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6074311.\nAnswer: 29, 209459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 21 = -r. Let s(y) = -y**3 - y + 1. Let w(v) be the third derivative of v**6\/120 + v**4\/12 - v**3\/3 + 248*v**2. Calculate r*w(d) + 2*s(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -329*j**3 + 3*j**2 - 6*j - 4. Let z(b) = 1316*b**3 - 12*b**2 + 25*b + 17. Determine -25*k(o) - 6*z(o).\nAnswer: 329*o**3 - 3*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2591?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u**2 + 40*u - 12 = 0.\nAnswer: -6, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4526549.\nAnswer: 4526549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-14 + (2 - -15))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2, -5, -3, 1\/9, 2.58 in ascending order.\nAnswer: -5, -3, -0.4, 1\/9, 2, 2.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(57)\/(sqrt(6)\/sqrt(2)) - sqrt(76)*-3).\nAnswer: -1 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13 - -3)*-3*6\/45. Let s(b) = -2*b. Suppose -3*o = -4*o + 1. Let x be s(o). Sort k, x, -5 in descending order.\nAnswer: k, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (9 + (0 - 2 - (-18 + 21)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aas when three letters picked without replacement from oysaaaaoyfyaoayffyw.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - n - 11. Suppose 4*q - 5*q + 6 = 0. What is the tens digit of g(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2479.2027707 - -2005.202717. Let i = u + 474. Round i to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -2\/5 (c) -19824 (d) -0.3 (e) -4 (f) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-4))**(7\/8))**(-3))**(-4\/11) assuming q is positive.\nAnswer: q**(-42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 - -274?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*r - 14. Let k(p) = -p**3 - 13*p**2 - p + 17. Let o be k(-13). What is the highest common divisor of r and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 12*q**2 + 27*q - 1. Let k = -289 + 286. Let t be n(k). Solve 3*m + 18 = 3*d, 0*d + t = -3*m + 5*d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 1)*(6*r - 4*r + 11*r) - 2*r + 0 - 1 + 3)*(3*r + 0 + 0)*(-3 + 0 + 1).\nAnswer: 90*r**2 - 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3 - (-3231)\/27. Suppose -109*a + z*a - 150 = 0. What is the greatest common factor of a and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70605107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1074 - 251 - 355)*(0 + 1 + c**2 + 0) to i*c + m*c**2 + d and give m.\nAnswer: -1680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -g - 3*n, -3*g - 2*g - n = 0. List the prime factors of 5*3 + -1 + g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 2. Let l(g) = g**2 - 5*g - 3. Let v be l(w). Calculate the remainder when 1 is divided by (v + -2)*3\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -20*y**4 + 2*y**3 + 19*y**2 + 2*y - 2. Let c(r) = r**3 + r**2 + r - 1. Let a(f) = 2*c(f) - m(f). What is the third derivative of a(h) wrt h?\nAnswer: 480*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*l**3 - 46398 + 46398.\nAnswer: 62*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**3 - 621432*o**2 - 9320883*o - 16156062 = 0. Calculate o.\nAnswer: -207129, -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q - 69970. Let k(n) = n**2. Give k(b(f)).\nAnswer: 4*f**2 - 279880*f + 4895800900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1142871473 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -125832 divided by -8\nAnswer: 15729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 9:59 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**4\/6 + 11*n. Let q(p) = 3*p + 3. Let d(w) = -6*w - 5. Let x(i) = 3*d(i) + 5*q(i). What is c(x(f))?\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 26*m - 12. What is the remainder when 53 is divided by v(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -169, -121, -39, 77, 227, 411, 629?\nAnswer: 881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(0*u - 3*u + 5*u)*(-125 - 109 + 117)*(4 - 3 - 2)*(-u**4 + 0*u**4 + 0*u**4).\nAnswer: -468*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2861 - 2683.1. Let v = b - 177.901982. Round v to 4 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.15 - 0.15. Let o = -4 + p. Let j(i) = i**2 + 7*i + 4. Let y be j(-6). What is the smallest value in y, o, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j. Let m(y) = -1. Let v(w) = 2*w**2 - 5. Suppose -12 - 8 = -4*l. Let x(i) = l*m(i) - v(i). Give q(x(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -381*y - 26. Is u(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of r**6\/160 + 9*r**5\/40 + 27*r**4\/8 + 27*r**3 - 190*r**2 + r. Factor n(f).\nAnswer: 3*(f + 6)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 2654.581?\nAnswer: -23891.229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 17*h**3 - 4*h**2 + 10*h + 40. Let q be d(-8). Let z = q - -18359\/2. Which is bigger: 179 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2 = 2*h. Let -2559*k**h - 3*k**3 - 49 - 96*k - 35 + 2526*k**2 = 0. Calculate k.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-315)\/(23 - 58)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*m - 11*m. Suppose m = 14*p + 108 + 4. What is the third biggest value in 0.2, p, -2\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*s - 4*s - 12*s + 68*s**3.\nAnswer: 68*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407 = -20*o + 9*o. What is the remainder when 146 is divided by o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5*q**3 - 43338*q + 4*q**2 + 43336*q + 2*q**3. Determine f(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 594 + -228. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -u - 0*s - 2*s, -s + 3 = 0. Let r be (625\/4)\/(u\/2752). Round r to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40760028.\nAnswer: 2, 3, 1132223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 129, 254, 377, 498?\n\"Answer: -s**2 + 128*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(20)\/sqrt(4))*-3*-3.\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3 + (-1*sqrt(528))\/((sqrt(99)*-2)\/sqrt(9)))*1.\nAnswer: -6 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -0*o. Suppose -3*q + 5 + 4 = o. Suppose 2 = -2*t - 2. Sort 2, t, q.\nAnswer: t, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/105)\/(126\/420)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -883 + 589. Let m(r) = 23*r**2 - 7*r - 3. Let p be m(6). Let a = p + x. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43*g**2*r**2 - 3*g**2*r + 38*r**2 + 3*r wrt g.\nAnswer: -86*g*r**2 - 6*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, 9, -3\/7, 147, 0.5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + sqrt(15)\/(sqrt(20)*5).\nAnswer: -1 + sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 3*u**2 - 6*u - 7. Let w be n(-4). Put -2, 5, 3, w in increasing order.\nAnswer: -2, w, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qsr. What is prob of picking 1 s and 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-1)\/(-3271))*1. Suppose 0 = -2*l + 509 + 949. Let d = y + l. Round d to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7335 and 360?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -14. Suppose 2*y - 5*h = -7 - 3, -2*h = 5*y - 4. Suppose y*b + 4 = -4*c - 4*b, 0 = -5*b - 20. Solve d*f + 9 = -3*w, -3*f - c = -w - 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0486 take away 0.2?\nAnswer: -0.1514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38726*m - 2753 = 38805*m - 699 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7250 divided by -2.\nAnswer: 3625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = b + 2*j + j, -b + 8 = -3*j. Suppose 10 = -b*c, -c + 360 = 5*f + 107. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (0 - -4) - -3. Sort -2\/13, j, -0.09 in increasing order.\nAnswer: -2\/13, -0.09, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/4*6\/(-21)*152. Suppose -60*o + b*o = 56336. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 150 = 4*a. Let w = 14 - a. What is the tens digit of (-2060)\/w - (-3)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76)\/(-57))\/((-12)\/(-63))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + -545508?\nAnswer: -545511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**2 + 30696*d = 0 for d.\nAnswer: 0, 10232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35.17 + -34.9933. Let b = x + -0.171645. Round b to 4 dps.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -69b4 - 1aa?\nAnswer: -6ba2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3014, -3030, -3070, -3146, -3270?\n\"Answer: -2*l**3 - 2*l - 3010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**5\/20 - m**4\/2 + 5*m**3\/6 - 7*m**2\/2 + 2*m. Let l be g(5). Let z = l - -4. Sort 4, z, -1 in decreasing order.\nAnswer: 4, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c - 4*c - c**2 - 6*c - 2*c.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvrrvfrvajj. Give prob of sequence fm.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + p**2)*(0 - p + 0) - 5*p**3 + 4*p**3 + 3*p**3 + 3*p**2 - 3*p**2 + 3*p**3 + 10*p**3 - 12*p**3 + p**3 as d*p**3 + o + z*p**2 + i*p and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = r - 76 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2 + 60*k + 221. Let a be h(-14). Let q(n) = -10*n - 294. Determine q(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -564014.33 rounded to the nearest ten thousand?\nAnswer: -560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 13*g**2 + 12*g - 13. Let c be f(-14). Solve -7*v + c = 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2) - 3\/9. Let z(d) be the third derivative of r*d**4 + 0*d + 2*d**2 + 0 - 1\/60*d**5 - 1\/3*d**3. Give z(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 3*g - 140, 332*p + 3*g + 64 = 334*p for p.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -140*y - 8*y - 5*y - 15*y**2 + 97*y to v + s*y**2 + x*y and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 4*m**2 + 12*m + 6. Let f be g(-6). Factor 2*h**3 - 3*h - 7*h + 2*h**3 + f*h.\nAnswer: 4*h*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79392 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from raiiprpriippiirprfpr. Give prob of picking 1 r, 1 f, 1 a, and 1 p.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**3 + 21 + 4*r**4 + 0*r + r - 19 - 3*r**4 as o*r**2 + w*r**4 + i*r + g + h*r**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-708)\/21*(2646\/567)\/(40\/(-30))?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-4) + 598\/4 + 1. Let q = n + -149. Which is the nearest to 1\/2? (a) q (b) -5\/6 (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4378 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 720 is divided by 124?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/(0 - 4))\/(-3))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 8800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -979 + 1056. Solve 7*w = -98 + g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 4:10 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 5 = r, r = -5*o + 3 + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 16699, -12, -0.5, 5, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 11) + 14 + -1 - -10\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(9\/27*5 + (-1 - 1)). Let m(q) be the second derivative of 0 - s*q + 1\/6*q**3 + 1\/2*q**2 - 1\/2*q**4. Let a(h) = h**2. Calculate -11*a(w) - 2*m(w).\nAnswer: w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -474 + 680. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6138\/310)\/(1\/((-30)\/(-3))). What is the highest common factor of 231 and f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 + (-18)\/3)\/(6 - 5). Solve r + 10 = 3*r - 4*u, u + 1 = w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 + -14?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 308.3 * 2\nAnswer: 616.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -423 + 75. Let x = -346 - c. Solve 0 = x*f - 7*f - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 2*d**2 - 2*d - 1. Give g(4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 101476819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 12:32 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-197.81465.\nAnswer: 19.781465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1.8. Let f = u - 0.800044. Round f to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2842381, -11368961, -25579927, -45475279, -71055017?\n\"Answer: -2842193*a**2 - a - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 10, 3, 0, 20, -8 in ascending order.\nAnswer: -19, -8, 0, 3, 10, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8, -146 in descending order.\nAnswer: 3, -8, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1370654495 + 234.855.\nAnswer: -1370654260.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*-1 - (-4)\/2. Solve b = 3*a - 6 - 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(19) + sqrt(19))*5 + (-2*-3*sqrt(19) - sqrt(19)))**2.\nAnswer: -300*sqrt(19) + 4375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1720)\/108360*28\/(-3)?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05505888257 to 4 decimal places.\nAnswer: 0.0551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -124114\/9, 0.366 in descending order.\nAnswer: 5, 0.366, -124114\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 729938?\nAnswer: 2, 11, 33179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 459960217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(420)*2 - sqrt(420) - sqrt(420))\/sqrt(7))\/sqrt(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 3 + 3)*(-130 - 50 - 66).\nAnswer: 738*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 109 - 68. Let x = -90 + y. Let v be (-4 - 56\/x)\/(2\/(-7)). Solve -2 + v = 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**3\/5 + 4836*l**2\/5 - 9684*l\/5 = 0. Calculate l.\nAnswer: -1614, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3283, 3210, 3135, 3058?\n\"Answer: -s**2 - 70*s + 3354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l**5\/3 + 56*l**4\/3 + 255*l**3 + 1690*l**2\/3 + 896*l\/3 - 32 = 0. Calculate l.\nAnswer: -4, -2, -1, 1\/11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16 - 6*x - 16 + (5 - 3 + 3)*(-2*x - x + 8*x).\nAnswer: 19*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (126\/12)\/21 + (-2)\/4. Which is the nearest to t? (a) -1\/8 (b) -2\/7 (c) 6 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (68*b + 51*b - 89*b)*(-2*b - b + 2*b) + (-2*b**2 + b**2 - 2*b**2)*(-5 - 1 + 4) in the form i + a*b + t*b**2 and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/20 of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61261177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334*z - 10402 = 608*z - 199*z for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 9:03 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/28 - 4\/(-14). Let x(t) = 15 + 12 + 5 - 20 + t. Let a be x(r). Solve 2*m = 7*l - 3*l - 12, -5*l + m = -a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3928*n + 10*n**2 + 0 - 3928*n - 8*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1602 and 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 + 4*o + 6. Let r(q) = q**2 + 8*q - 16. Let d be r(-11). Let t be c(d). Suppose 5*y - 9*y + t = 0. What are the prime factors of y?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10699\/4 - 2696. Calculate the common denominator of f and (-5)\/(-10) - 134\/(-72).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -10, -5*x + 5*y - 4*y = 57. Which is the smallest value? (a) 3 (b) 3\/4 (c) x (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 28 = -t, 5*t - 11*d = -2056 + 1979 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 509, 148, 272 in descending order.\nAnswer: 509, 272, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (9 + (-3 - (-5 - -6)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 50703, 46587, 42471, 38355?\n\"Answer: -4116*g + 54819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 42*g + 3. Let j(k) = -125*k - 10. Determine 2*j(y) + 7*t(y).\nAnswer: 44*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -587829, -1174093, -1760357, -2346621, -2932885, -3519149?\nAnswer: -4105413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -31\/6*c**3 + 0*c**5 + 0 + 5\/6*c**7 + 0*c**6 + 33*c + 0*c**2 + 0*c**4. What is the second derivative of v(d) wrt d?\nAnswer: 700*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 18949084.\nAnswer: 1\/9474542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*(-2)\/(-44)*(-95)\/(-10)*2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 792330 is divided by 394965.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + sqrt(147))*-3 - (sqrt(108) + sqrt(108) + -2))**2.\nAnswer: -144*sqrt(3) + 3892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 63500 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnnhnnmnmughhmnhhhhh. What is prob of sequence mg?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 + -1c0657?\nAnswer: -1c0668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*n + 2, 0 = 2*a - 3*n - 24. Suppose -g = -3, -a*g + 199 = u - 19*g. List the prime factors of u.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmnocmoccwocmoc. What is prob of picking 2 c?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((528\/30)\/((-1738)\/(-3160)))\/((-2)\/(-5))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 w when three letters picked without replacement from {d: 1, w: 7}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 - 13*z**3 + 3 - 11*z**3 - 5*z**3 + 15*z**3 to a + r*z + u*z**3 + d*z**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 137, 0, -4 in decreasing order.\nAnswer: 137, 10, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 352, 716, 1088, 1474, 1880, 2312, 2776, 3278?\n\"Answer: t**3 - 2*t**2 + 363*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**2\/5 + 10125*i = 0.\nAnswer: 0, 16875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 118 - 48 = 0. List the prime factors of u.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*z**3 - 10*z + 29*z**3 + 10*z.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 372259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -23338, -46668, -69998, -93328, -116658, -139988?\n\"Answer: -23330*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*v = 174*v - 2*p - 5, 0 = 2*v + p - 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3064 (base 7) to base 15\nAnswer: -4ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 528846 rounded to the nearest one thousand?\nAnswer: 529000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 871243\/1547 - 7330\/13. Let x = -3\/7 - f. Factor -6\/17 + 2\/17*m**2 - x*m.\nAnswer: 2*(m - 3)*(m + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7652810051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1700 - 1632. Solve -l + 56 = -6*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1584) + 4 + 5)*-6.\nAnswer: -72*sqrt(11) - 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3702036599 rounded to four decimal places?\nAnswer: 0.3702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 7*w**4 + 8398*w**3 - 103956*w**2 + 334440*w - 87264 = 0.\nAnswer: -1212, 2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7c (base 13) in base 16?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w**3 + 10*w**3 - 2*w**3 + 2*w**3.\nAnswer: 21*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(42)\/sqrt(6))*3)**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, q: 1, i: 1}. What is prob of picking 1 i and 1 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**5\/8 - 177*t**4\/4 + 9705*t**3\/8 - 9009*t**2\/4 = 0?\nAnswer: 0, 2, 39, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 14*k**4 + 13*k**3 - 9*k**2 - 6*k. Let b(g) = -g**5 + 14*g**4 + 13*g**3 - 10*g**2 - 8*g. Let l(o) = 6*b(o) - 8*i(o). Suppose l(x) = 0. Calculate x.\nAnswer: -3, -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3374762*i**5 - 2*i**3 + 1002551*i**2 wrt i?\nAnswer: 202485720*i**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10, 17, 20, 13, -10?\n\"Answer: -c**3 + 4*c**2 + 2*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13845, -29858, -45869, -61878, -77885?\nAnswer: -93890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -588*j**3 - 581*j**3 + 1758*j**3 - 590*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -5*g**2 - 6*g + 18. Let o(j) = -9*j**2 - 11*j + 28. Determine 5*c(b) - 3*o(b).\nAnswer: 2*b**2 + 3*b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 143730361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 1. Let i(g) = 1. Determine 5*f(k) - 4*i(k).\nAnswer: -5*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 3*b**2 + b - 3. Let m be (-1)\/(-1) + 4\/2. Suppose 2*l + 11 = r - 3, 5*l - m*r + 37 = 0. Let j be 2 + -3 + -1 - l. Give c(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -274 - -674. Let l be 1 - (-16)\/(-20) - 30\/j. Put 1.2, l, 5, -5 in decreasing order.\nAnswer: 5, 1.2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 235 - 275 = 0. Suppose 27 = x - 7. Calculate the greatest common divisor of z and x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2016 and 0.4.\nAnswer: -806.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 2 + 6 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/15)\/(12\/10)*-8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1507, 3461, -1?\nAnswer: 3461","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1976 divided by -19.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvglvlvmmmiglvvm. What is prob of picking 2 g and 1 i?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6440851 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -44, -43, -42, -41?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357498.\nAnswer: 2, 3, 19861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 less than -23?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -278 divided by 4.\nAnswer: -139\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*k**2\/2 + 578504*k + 165287\/2.\nAnswer: -(k - 165287)*(7*k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 172405041701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = w - 31, -399 + 361 = -3*w + 4*d for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 30*t - 61. Let o(n) = 50*n. What is b(o(h))?\nAnswer: 1500*h - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1652965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2021244 to two decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.9 + -7.9. Let p = 11 + -1. Let o be 1\/p*2 + 1\/5. Which is the closest to -2\/15? (a) t (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*g - 3254 - 2637 - 5480 = 0. What is the remainder when 2072 is divided by g?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 75*t**3 - 9*t**2 - 4*t + 32. Let b(k) = k**2. Let m(y) = 5*b(y) + p(y). Is m(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 5*r + 25 = 0. What is the highest common divisor of 40 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 b when four letters picked without replacement from {b: 6, x: 13}?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 7*y**4\/5 + 2*y**3\/5 - 49*y**2\/5 - 56*y\/5 - 12\/5 = 0?\nAnswer: -2, -1, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -489*t - 4*m + 18 = -491*t, 0 = 5*t - 5*m + 20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 - 4*r - 24. Let f be i(12). Suppose 2*a = 7*a - 5425. Let u = a - f. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.484 + -12.414. Let n = 0.36 + -0.06. Which is the closest to v? (a) 0.5 (b) n (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-3 + 4 + -2). Sort 5, -5, z in increasing order.\nAnswer: -5, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (6 - 4 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1354692 centimeters in micrometers?\nAnswer: 1354.692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhihihhhiiuhhhhhi. Give prob of sequence ihiu.\nAnswer: 11\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6d4 (base 14) to base 2.\nAnswer: 10101010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + z - 5. Let q be g(-5). Suppose -4*t = -0 - 20. Suppose 0 = t*y + 20, b - 6*b = 2*y - 17. What is the greatest common factor of q and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 - 19*x**3 + 21*x**3 - x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 252 - 249. Solve n - s = 4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 6*x**2 - 2*x - 7. Let l be q(-6). Suppose -4 = -7*v + 10. Suppose 0 = k + v. Put k, l, 6 in decreasing order.\nAnswer: 6, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-5)\/(y\/(y*y**3)))\/((y\/y**(2\/7))\/y)**(-11))**(3\/31) assuming y is positive.\nAnswer: y**(-108\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in -790, -12, 0, -1\/3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -2. Let q = 1.2 - f. Let o = -6 + 4. Which is the smallest value? (a) q (b) 3\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0052932543 to four decimal places.\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**4\/12 + b**3\/2 - 2*b**2. Let y(c) be the third derivative of -c**4\/24 + c**3\/6 + 31*c**2. Determine 2*f(o) - 5*y(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/3228 and (-63)\/(-30)*13\/9.\nAnswer: 16140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4163.3 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**2 + 30*p + 192. Let m(k) = -10*k**2 - 88*k - 576. Let t(z) = 7*h(z) + 2*m(z). Let v be t(-7). Factor w - 1\/2*w**2 - w**v + 0 + 1\/2*w**4.\nAnswer: w*(w - 2)*(w - 1)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(-5*sqrt(8)\/sqrt(4) + sqrt(2)) + sqrt(1377) + 0 + 3 + sqrt(17) + sqrt(272))**2.\nAnswer: 165*sqrt(17)\/2 + 51569\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**3 - 21*t**2 + 67*t + 648. Determine s(-5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1331 - 8057\/6. Calculate the common denominator of (-1781)\/26*3\/81 and y.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -3. Suppose y*j = -4*z + 84, -5*z + 4*j = -2*z - 41. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -4407?\nAnswer: 440a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 + 53. Let t(o) = 2*o**2 - 63*o + 154. Let h be t(29). Which is the biggest value? (a) h (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + (8\/8 - 5))*1\/6.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 305 + 67 - 260 - (-1 - -34).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 37 + 62. Let r(k) = k**3 + 5*k**2 + 4*k - 9. Let c be r(j). Which is smaller: -27 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53942 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: b\"What is the kth term of 120084, 120117, 120150, 120183?\n\"Answer: 33*k + 120051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15934 - -745?\nAnswer: -15189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 2:04 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - 6*n - 69. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 290 and 406?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - 7.8. Let n = 19.8 + w. Let p = 5.5 + -0.5. What is the nearest to -2 in -0.4, n, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 7:31 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 - 6*p + 5. Let c(z) = z**2. Let u be c(-1). Let s = u + 3. What is the common denominator of 9\/10 and t(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**5\/50 - c**4\/15 - c**3\/15 + 2*c**2\/5 - 6*c. Factor w(h).\nAnswer: 2*(h - 2)*(h - 1)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 + 241\/4. What is the nearest to 2 in 0.04, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698598021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6962541 to the nearest integer?\nAnswer: 2639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -1819*s + 15 - 2*s**4 - 4 + 1819*s + 7*s**3 in the form o*s**4 + q + z*s**3 + c*s + n*s**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*g + 98312 = -4912. Is g a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 4*q**2 - 2*q - 4. What are the prime factors of f(6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*h - 5454 = 78*h. Let q be (h\/12 - -3)\/(15\/80). Is q\/6 - (-84)\/63 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1259*h**2*j**6 + h**2*j**2 + 621*h**2*j - 2*h*j**6 wrt j.\nAnswer: -151080*h**2*j**3 - 240*h*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 203432 + -4?\nAnswer: 203425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 4696469\nAnswer: 2\/4696469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 234465133?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 6:06 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - -1)\/((5\/4)\/((-35)\/42)). Let v(p) = -p**3 - 5*p**2 - 4*p + 1. Let l(k) = -2*k + 10. Let y be l(7). Let d be v(y). Sort 4, d, w.\nAnswer: w, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.38 times 7?\nAnswer: -16.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46801\/7 - -6690. Find the common denominator of 14\/125 and j.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -377, -388, -401, -416, -433, -452?\nAnswer: -473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 11:35 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f + 2 - 7*f + 3*f - 2. Let t(n) = -32*n. Give u(t(a)).\nAnswer: -32*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 3. Let z = 0 - i. Suppose 0*j = 4*j - 20. Sort -2, z, j in decreasing order.\nAnswer: j, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8824 is divided by 89.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -140 (b) 0.5 (c) 1\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76.142, 9, -5 in descending order.\nAnswer: 9, -5, -76.142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-3 - -13) + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1828*s**5 + 2114*s wrt s.\nAnswer: -36560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -240037, -240035, -240031, -240025, -240017?\n\"Answer: o**2 - o - 240037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-3)*(-18)\/4. Suppose z*x - 8 = 2*x. Let y = 0 - -5. Which is the smallest value? (a) y (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*1*(-12)\/(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-12)\/4 + -2)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36391692*p**3 - 71*p**2 + 3125513*p + 2 wrt p?\nAnswer: -218350152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 4*s**4 - 41412*s**3 + 110088028*s**2 - 14945785980*s + 99240383200 = 0?\nAnswer: 7, 136, 5105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.91 + 4. Let o = n - -0.01. Which is the smallest value? (a) -5 (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j + 2*j**3 - 6*j**2 + 7*j**2 - 2*j**2 + (2*j - 2*j + j**2)*(36 - 36 - 15*j) in the form z + y*j + f*j**3 + i*j**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utcbcbcccbcti. What is prob of picking 1 c and 2 b?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 3. Give o(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 + -0.4. Let k be ((-2604)\/162 - -16)\/((-1)\/9). Which is the closest to 0.1? (a) n (b) k (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1093 + 856. Does 88 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-8)*(-32)\/12. Suppose w - 19 = -2*g, -c*w - g = 2*g - 35. Let n = -2 + 27. What is the remainder when n is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 4. Suppose z*v = 5*v. Suppose s - 5*s = -l + 59996, s - 4*l + 14984 = v. Round s to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -706, 1, -0.052, -0.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - q = -2*r - 14, -3*q = -5*r - 25 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20447 is divided by 5109.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 94\/9 - 79\/9. Let h = 0 + 3. Which is the closest to -2\/7? (a) i (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 12) to base 11\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1032 + 1051?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7*3*(-58)\/56*(-20 - -16). Which is the biggest value? (a) -0.2 (b) 5 (c) 3\/2 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a784 (base 11) in base 9?\nAnswer: -87715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 167\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/46467 and 59\/3?\nAnswer: 46467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - 11 + 6 + 9)*(-3*r + 2*r - 2*r) - 177 - 24*r**2 + 177.\nAnswer: -15*r**2 - 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = v - 66, 5*p - 80 = 5*v + 10. Let i be (-11723579)\/p*(0 + 2). Let f = i - -3474797. What is f rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/327)\/(-4)*(-5 - (-4 - 2)).\nAnswer: -1\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l. Let i(p) be the first derivative of p**4\/4 - 7*p**3\/3 + 7*p**2\/2 - 6*p + 2. Let m be i(6). Let g be f(m). Is 1 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, s: 1, m: 7, u: 2, l: 1}. Give prob of picking 1 m and 3 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 8*q + 412. Let y = -71 - q. Let m = y - 23. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2062, -5352, -10816, -18454, -28266, -40252?\n\"Answer: -1087*q**2 - 29*q - 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 5.51?\nAnswer: -7.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 233332032 (base 4) to base 7\nAnswer: 1445604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*1 + (-2)\/(-1). Let g(d) = d + 1. Let f(m) = 5*m + 6. Let a(p) = n*f(p) - 6*g(p). Let u(z) = 2*z. What is u(a(c))?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 34*m**2 + 2*m + 20. What is the tens digit of f(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0 = -12. Let b(l) = l + 1. Let y(o) = 2*o + 4. Let x(g) = -10*g - 21. Let j(f) = -2*x(f) - 11*y(f). Let n(p) = m*j(p) - 11*b(p). What is n(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4)*p\/(p*(((p\/p**(8\/11)*p*p)\/p)\/p)\/p*p)*p**17*p**(-10\/7))**(-2\/5) assuming p is positive.\nAnswer: p**(-4789\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1225*x - 144*x + 6*x**2 + x**2 - 5*x**2.\nAnswer: 2*x**2 + 1081*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -12*x**3 - 192*x**2 + 10*x + 164. Calculate the lowest common multiple of t(-16) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 5*i - 175796 + 20316, -5*s = -4*i - 155435. Suppose -5 = z, 0 = y + 2*y + 2*z - s. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 2*g - 4*g)*(-5 + 3 + 3)*(-6*g - 10860 + 5*g**3 + 10860 - 11*g**2).\nAnswer: -10*g**4 + 22*g**3 + 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -0*p - 3*p + 221, 3*f - 156 = p. Are 54 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -13 - (-70 - -58).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d**2. Let q(i) = -68*i**2 - 21*i**2 + 33*i**2. What is c(q(o))?\nAnswer: 18816*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 135 + 68671?\nAnswer: 68816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + q + 1, -460*q - 3 = -3*x - 459*q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t - 5*t - t**2 + 10 - 14 - 16 + 21.\nAnswer: -t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x + 3*n - 5 - 26, 0 = -5*x - n - 18 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f = 20*f + 186 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 53 + 41 = 0. Suppose b*p + 5*a + 0*a - 7921 = 0, -13215 = -5*p - 5*a. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 105\/16 + 123\/16. Let r be (205\/12)\/(-1) - 1. Let b = r + -21\/4. What is the common denominator of b and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/2*3 - 1. Find the third derivative of u**4 - u**f + 2*u**2 - u**4 - 4*u**6 wrt u.\nAnswer: -480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 797.0671 + -0.0671. Let v = -796.3538 + r. What is v rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -3. Let i(d) = d**2 - 7*d - 2. Let w be i(7). Sort -4, w, g in decreasing order.\nAnswer: g, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 2:06 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2612288971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -35. Let g = r + 12. Sort -4, -0.3, g in descending order.\nAnswer: g, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 90864\/2184 + 7\/(-2)*12\/91. Solve -c - 146\/7*t**2 - 6\/7*t**3 - 912\/7*t = 0 for t.\nAnswer: -12, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 173 + 157. Round b to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 27, 53, 83, 117, 155, 197?\n\"Answer: 2*k**2 + 20*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2*d + 25, -83*d = -z - 78*d + 109. Let r = 526 + -282. Calculate the remainder when r is divided by z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 116 and 12?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.7 or -17150732?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -410 + -55?\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -7*z**2 - z - 1. What is f(-3)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16c (base 13) in base 8?\nAnswer: -403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8667442 by 6.\nAnswer: 4333721\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -12*o**2. Let v(r) = 4*r**2 + r. Give v(b(c)).\nAnswer: 576*c**4 - 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/(-9)*-101 + 2\/9.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 244413342 (base 5) to base 11\nAnswer: 729a18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -11. Suppose -v*q + q + 3 = -5*o, -q = 3*o - 3. Is o at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/7 - 110240*z\/7 + 110242\/7.\nAnswer: -2*(z - 1)*(z + 55121)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqd when three letters picked without replacement from xxxqdxdqddx.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4 - 3*n**5 + 183*n**4 + 3*n**3 - n**3 - n**3 + 83538*n**2 - 83370*n**2 wrt n?\nAnswer: -180*n**2 + 4392*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*o - 11*o + 8*o to the form b*o + z and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13751009.\nAnswer: 53, 259453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, i: 5, b: 2, g: 2}. Give prob of picking 1 i, 2 b, and 1 s.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.12 + -0.02. Which is smaller: v or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1083 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 16*p**3 + p**2 - 63*p - 63. Give l(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44228 is divided by 697.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 9:43 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 5*n**2\/2 + 4*n - 2. Is y(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**4 - x**2 - 1. Let b(q) = -14*q**4 + 6*q**2 + 5*q + 6. Let d(g) = b(g) + 6*j(g). What is the second derivative of d(p) wrt p?\nAnswer: -240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/5)\/2)\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 40*x**7\/7 - x**4\/2 - 40*x**3\/3 + 3*x - 2. What is the third derivative of s(t) wrt t?\nAnswer: 4800*t**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 5, -3, 13\/740?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*((-8)\/40)\/(4\/(-10)). Suppose -4*a + 3*f + 3913 = h, a + 221 = -4*f + 1204. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 divided by -8.\nAnswer: -41\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4849 + 4850 + 6*v + v + 18*v**3 - 2*v**2 - 5*v - 7*v**4 - 69*v**4 as u*v**3 + g + l*v + x*v**4 + r*v**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-234)*66)\/(110\/715).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 22*w. Let h(u) = 6*u**2 + 131*u. Give -34*d(g) + 6*h(g).\nAnswer: 2*g**2 + 38*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(13) - sqrt(26)\/(sqrt(2) - 2*sqrt(2))) + -1 + sqrt(468)*-1.\nAnswer: -10*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 78 = -0*a. Suppose -k - 276 = -a*k. What is the derivative of -30*d**2 - 9 + k - 12 wrt d?\nAnswer: -60*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.8.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than 521\/235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 20 - 1 = 3*p, 4*p = 2*j - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0 + 0 = -127*v. Which is smaller: -4\/751 or v?\nAnswer: -4\/751","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**7\/210 - 9*q**6\/20 - 145*q**3\/6 - 16*q**2 + 5*q. Differentiate r(x) with respect to x.\nAnswer: -4*x**3 - 162*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/(1*(3 + -5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 18*a + 195. Determine w(22).\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 187999771?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 941.0682 centimeters in meters?\nAnswer: 9.410682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56019300*-0.5.\nAnswer: -28009650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, l: 1, p: 2, v: 2, r: 1}. Give prob of picking 1 l and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -264\/479 - -1769543\/3209779. Let t = 328361\/80412 - a. What is the common denominator of t and ((-74)\/18)\/((-2)\/1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 6. Suppose -10*c + 4*c + 24 = 0. Let q be (-5)\/(((-3)\/2)\/(-3)) + c. What is b(q)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 590000*0.98\nAnswer: 578200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/72496 and 39\/788.\nAnswer: 72496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 18. Let o be d(4). Suppose 5*k = -3*z + 1 + o, -k + 5*z = -3. Solve -j - u - 4 = 0, 3*u = 2*j - 0*u + k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + (-10 + 5 - 4) + 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bssf when four letters picked without replacement from fssggb.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-5) - 42\/15. Let a be -8 + (6 - (-1 - g)). Let i(r) = 6*r. Let p(k) be the third derivative of 5*k**4\/24 - 5*k**2. Give a*i(h) + 5*p(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 710831.1 centuries in months?\nAnswer: 852997320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -25. Let y be ((-28)\/2)\/(4\/(-2)). Suppose -40 + y = -3*n + 4*o, 0 = -o - 3. What is the remainder when g is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2608 and 489?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70538970?\nAnswer: 2, 3, 5, 929, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*s + 0*s - 231 - 57*s to a + l*s and give a.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2589583.\nAnswer: 71, 36473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 2 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -6245*u - 237317. Determine s(-38).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 29 = 4*x - d, -3*x = -2*d - 23. Let n(y) = -1 + y + x*y - y**2 - 2. Calculate the remainder when 38 is divided by n(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1635 - 1735 = -5*h. Is 52 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(102) + 4*sqrt(102)*-2 + sqrt(102) + sqrt(102))\/(1*2*sqrt(6)*3) + -1.\nAnswer: -7*sqrt(17)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 352.231401 from -16.3.\nAnswer: -368.531401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1017736 divided by -155?\nAnswer: 1017736\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 5.208.\nAnswer: 5.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10121100100 + 2021?\nAnswer: 10121102121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/5, 0.2, -8\/5, -4, 59\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 0.2 (c) -1280359 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2038 - 868. Is m a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6*t**2 + 7*t - 49. Calculate the remainder when c(12) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**6\/120 + 3*o**5\/20 - 9*o**4\/8 + 9*o**3\/2 + 4*o**2 - 42. Let h(u) be the second derivative of v(u). Factor h(s).\nAnswer: -(s - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12511763?\nAnswer: 11, 53, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -34 - (13 - (2 - 3) - (130 - 114))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*u + 20*u - 14*u)*(-22 - 3 + 4).\nAnswer: -462*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3482857 by 3482857.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -303?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89\/12, 48, -3.\nAnswer: -89\/12, -3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -64 and -7581?\nAnswer: 485184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence djh when three letters picked without replacement from dhzhdhj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 11*l**2 + 5*l - 5. Suppose 80 = 3*u + 4*a, 2*a + 0*a - 4 = 0. Let c = u + -22. Let n(y) = -5*y**2 - 2*y + 2. Give c*v(k) + 5*n(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -67, -2, 59, 5.\nAnswer: -67, -2, -1, 5, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 45*a + 86, -3*a - 176*c - 2 = -350*c + 172*c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 9*d - 23*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -187.0916 to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 20*p**2 + 467*p + 135. Calculate g(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 at most 321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 4:00 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011011 - 0?\nAnswer: 1011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20960?\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 3*k - 9 = -8*u, -3*u - 5*k + 15 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 32*q + 1185. Let b be k(-37). Sort 929, 2, b in increasing order.\nAnswer: b, 2, 929","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 plus 21?\nAnswer: 20.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31200 - 210?\nAnswer: 30330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 63 and 1.9.\nAnswer: 64.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.292 - -401.492. What is y rounded to the nearest 10?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12042 (base 5) to base 11.\nAnswer: -746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 1368*q - 1364.\nAnswer: -4*(q - 341)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -6\/19 (b) 10.1 (c) 0.3 (d) -1120 (e) 2\/9 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -63733.4 or -5\/11?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 62*k**3 - 117*k**3 + 4 - 7*k + 0 - 6*k**2 + 58*k**3. What is the hundreds digit of f(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(75)*4)**2 + sqrt(75) - (sqrt(75) - (-1*sqrt(75) - sqrt(75))*1).\nAnswer: -10*sqrt(3) + 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 754 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/16*88\/(-198)*-72.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 - (-8 + 20\/5) is divided by (-45 - -3)\/(3\/(-2)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - 50\/(-13))\/(-1). Which is the biggest value? (a) 5 (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -424, -1730, -3916, -6982, -10928?\nAnswer: -15754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yj when two letters picked without replacement from {j: 2, l: 1, y: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13 - -9)*57\/12. Let n = z - -63. Calculate the smallest common multiple of n and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t + 1. Suppose 0 = -z - 5*z + 6. Determine h(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(156)*2)\/((3*sqrt(48))\/sqrt(4)) + 4*sqrt(39)\/sqrt(3) + -5 + (-3*1*sqrt(1053))**2.\nAnswer: 2*sqrt(13) + 9472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -7 - 13. Calculate the lowest common multiple of k and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84524.41 years to millennia.\nAnswer: 84.52441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q + 16. Give o(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32990852 to the power of 1\/2, to the nearest integer?\nAnswer: 5744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 11*f + 2. Let p be n(2). Let b be ((-1)\/2)\/((-2)\/p). What are the prime factors of 16\/b*(-51)\/(-2)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dlrd when four letters picked without replacement from llrqqqqdqqldllldqq.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005641 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -96, -2\/7, 43, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -39 + 189?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35601 + -4105. What is the ten thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(26*(-410)\/(-148174))?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 3189733.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 3*k**3 + 19637*k**2 - 19637*k**2.\nAnswer: 3*k**3 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.57 - 43.43. Let n = -48.18916116 - -0.18914916. Let b = m - n. Round b to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/36 and 574\/(-720) - ((-134)\/18 - -7)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -28*y - 1. Let l(o) = 81*o + 2. Give 7*b(f) + 2*l(f).\nAnswer: -34*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000365 rounded to 5 dps?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.337764us to nanoseconds.\nAnswer: 4337.764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 - 54. Let o(w) = -2*w + 5. Calculate the least common multiple of o(t) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2484 is divided by 89?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(2\/23))\/y**(-9)*(y**(-1\/9))**3 assuming y is positive.\nAnswer: y**(661\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 5:19 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -19*(-49)\/(-13034) + (-867)\/14\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119823 is divided by 4150.\nAnswer: 3623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 2:46 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 76*i - 4. Let c(s) = 15*s + 1. Give 12*c(j) + 3*k(j).\nAnswer: 408*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.02, 4, 1, 2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 6*k + 0*k)*(8*k**2 - 8*k**2 - 3*k**4).\nAnswer: -18*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80 + 82. What is the remainder when 79 is divided by 4*(-219)\/(-54) + n\/(-9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7043.7kg in micrograms?\nAnswer: 7043700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(150)*5)*-1 + -2.\nAnswer: -2 - sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 55 = 2*d - 5*d, -34 = -2*d - 2*o. Let r be d - (4\/10 + 65\/25). Solve -5*w + 10 = -r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 0*p - p)*(-2 - p + 2 - 2*p + 3*p - 2*p + 1 + p - 1 + (-2*p - 4 + 4)*(4 - 3 + 1) - 3*p + 0*p + 2*p + 83*p + 44*p + 120*p).\nAnswer: 241*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 344*r**2 + 401*r**2 - 845*r**2 as y*r**2 + s*r + t and give y.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13586689 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -454093, -454094, -454095, -454096?\nAnswer: -454097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 6\/2 + 3. Let d be ((-8)\/c)\/(15\/(-45)). Suppose -d*t - 3*y = 20, -5*y + 26 - 6 = -4*t. Let f(p) = -p**3 - 3*p**2 + 7*p + 2. Give f(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 763930405 to the power of 1\/3, to the nearest integer?\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11193 + 11188. Sort -3\/4, -1, -2\/3, -4, s in ascending order.\nAnswer: s, -4, -1, -3\/4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3997\/6000 + -1\/2000. Let x = -0.1 + 0.1. Put -2, l, x in descending order.\nAnswer: x, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 10*k**3 - 5*k**2 + 8*k - 21. Let f(b) = -4*b**3 + 2*b**2 - 3*b + 7. Let u(s) = -11*f(s) - 4*g(s). Calculate u(-3).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 3*k + j + 25, k = 4*j + 20. Solve k = -x - 1, 2*t - 1 = -5*x - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w - 4*w - 86*w**2.\nAnswer: -86*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -667*u + 655*u - 36 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 + 0.65. Let m = 0.8 - f. Let t be (4\/6)\/((-27)\/(-162)). What is the third smallest value in -0.5, t, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -45090\nAnswer: 45094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 * -4\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppsespgp. Give prob of picking 1 p and 1 s.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/2 = 6819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*m + 2*x, -2*m - x = -5*x - 24. Suppose 0*v = -m*v + 10732. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1842.65*0.32.\nAnswer: 589.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**3\/2 - 2563*r**2\/2 + 3851*r + 5132 = 0. Calculate r.\nAnswer: -2566, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + h**2 - h**2 - 11*h**3 + 15 - 40*h**3 + h**2 to b + v*h**2 + k*h**3 + q*h and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 + (-4 - -5)*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -2.4. Let g = 4 - z. Let k = 0.5 - 0. What is the smallest value in k, -2\/17, g?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-39)\/52*((0 - 12) + 0). Let y = 0 - -3. Solve 2*g = 5*u - 1, 0 = -0*u + y*u + 2*g + o for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47797028 less than -2.027?\nAnswer: 47797025.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 12 = -8. Suppose 16 = 2*r - 5*j, 3*r + 0*j - 10 = y*j. Which is the third biggest value? (a) -0.4 (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v**2 + 7*v + 8. Let f be s(-6). Let j be (-89)\/f*(10 + 0). Solve 0 = -4*r + 20, j*r - 31 = -3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a day in minutes?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4730045\/11 - 432900. Let d = -2901 - w. Find the common denominator of d and 25\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-144))\/((-3)\/(-6)))\/((-52)\/(-78))?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 3*i + 55144, -5*z + 137893 = -0*z - 2*i. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 3\/10*a**5 + 0 + 2*a**2 + 5*a - a**3 - 1\/15*a**6 - 1\/6*a**4. Factor d(b).\nAnswer: -2*(b - 2)*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r + 6. Let g(u) = -246*u + 35. Calculate -g(i) + 5*m(i).\nAnswer: 236*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a century?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2929568 and 732392.\nAnswer: 2929568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, z: 11}. What is prob of picking 2 y?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 10 (b) 0.5 (c) -14798 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 2:32 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -2*f**5\/15 - 7*f**4\/6 - 151. Factor l(g).\nAnswer: -2*g**3*(g + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -1\/40*x**6 - 6*x**3 + 0 + 0*x + 23*x**2 - 2*x**4 - 7\/20*x**5. What is w in m(w) = 0?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6727856?\nAnswer: 2, 569, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 848 divide 42169344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 85\/2, -0.1 in descending order.\nAnswer: 85\/2, 8, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 - 12*n - 20*n + n**4 + 36*n - 2 to the form w + g*n + z*n**2 + f*n**4 + d*n**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -33, -11, 39, 129, 271?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -153 (base 10) to base 2\nAnswer: -10011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3772)\/574*(-8 + 1). Solve 0 = 69*g - 46*g + n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 q when three letters picked without replacement from {v: 1, d: 2, q: 3, e: 6, u: 2}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/6 - 0)*4\/3. Let l be (-2 - (-33)\/6)*k. Let v = -11 - -15. Solve p - l*i - 15 = -2*i, -v*p - 12 = 4*i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15137*l + 10 = -15142*l. Is l <= -45\/58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**5\/13 - 272*p**4\/13 + 792*p**3\/13 + 812*p**2\/13 - 1850*p\/13 - 1596\/13 = 0 for p.\nAnswer: -1, 2, 3, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 2 + 28*t**2 - 10*t**2 - 20*t**2)*(3*t**3 - t**3 - 3*t**3).\nAnswer: 2*t**5 - t**4 - 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 119233*b**2 - 13*b + 1. Let c(s) = -s. Calculate f(c(m)).\nAnswer: 119233*m**2 + 13*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 123*c**2 - 625*c + 3767. Determine i(118).\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/12 - (-7335)\/36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109352326.382 + -0.6.\nAnswer: -109352326.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(9 + (-250)\/30). Solve -10 = -2*n, 4*n - r = 2*s - 3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 15*s**2 - 3*s. Let c(z) = 8*z**2 - z. Suppose 0 = -4*q + 4, 4*q = -3*y - 6 - 17. Let b(d) = y*c(d) + 5*g(d). Does 8 divide b(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.8 (b) -0.1 (c) 1 (d) -2\/5 (e) 4 (f) -25.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 + -88. Let q(i) = -i**3 - 4*i**2 + 4. Does 19 divide q(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/3)\/(3\/(-9)). Suppose 0 = n - p - 133. Is n a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1354801792?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -146 - -144. Calculate the remainder when (-1)\/(3\/(-18))*(-113)\/c is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 3*m + 6. Give y(-8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 3:11 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 7:45 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/74256 and -131\/8568.\nAnswer: 222768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 41*a**2 - 3*a + 7*a + 0 - 36*a**2 + 4. Let u be (2 + -8)\/2*1. What are the prime factors of f(u)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**6\/165 - o**4\/66 - 3*o. Determine i, given that f(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-5 - (-18 + 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6343 (base 10) to base 8\nAnswer: -14307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3462083968043 less than 1?\nAnswer: 3462083968044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 394 divide 23181384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 380*w + 1 - w**2 + 0*w**2 - 385*w + 2. Let n be ((-18)\/21)\/(3\/21). Calculate u(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8898599 and 1502?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1897\/6 - -317. Which is the nearest to 0.1? (a) z (b) 4 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 2. Let x = 1 - k. Suppose 3*j - 7*j = -q - x, -4*q + 2*j = -14. Solve -5*z - q = -0*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2714 + -1920. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**1*l*l)\/(l*l**(1\/2)*l) assuming l is positive.\nAnswer: l**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 3\/367, -1?\nAnswer: 3\/367","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 (base 13) in base 14?\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 234b + -146?\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 182927?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.93 + -5.93. Which is the biggest value? (a) x (b) -1 (c) -4 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3230 divide 172941506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42433 + -4511?\nAnswer: -51344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2715305*v**5 + 2402397*v**2 wrt v?\nAnswer: -162918300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 9:28 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/1035 and -56\/93265.\nAnswer: 839385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1581734 divided by 7.\nAnswer: 225962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368 = 121*v - 125*v. Calculate the highest common divisor of 92 and v.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 106*v + 5. Let s be i(0). Let u = 4 + -8. Which is the nearest to 2? (a) 1 (b) s (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 40 (c) -0.5 (d) 4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b + 3 - 3)*(b + 2*b - 2*b) + 5*b**2 - 11*b**2 + 5*b**2 to the form d*b + w + y*b**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cppc when four letters picked without replacement from {j: 2, p: 3, c: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 3 - (-5 - (6 + 6 - 9 - -50)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-15) + 1 + (-1368)\/135. Does 11 divide (5\/(-5) - v) + 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2156959 is divided by 30379?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4696 + 37483\/8. Suppose -3*t + 2*g = -3240, 4*t - 4324 = 7*g - 3*g. Let r = 10769\/10 - t. What is the common denominator of r and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2603.\nAnswer: 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -96338592 divided by 11424\nAnswer: -8433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298*r - 160 = 258*r. Solve -6*n + 5*h + 15 = -8*n, r*n + 16 = 4*h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99320 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-63652)\/12)\/(66\/198). Which is smaller: n or 2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 6*i**2 + 3*i - 8. Let l(o) = o**2 - o - 2. Let m be l(2). Let t be (m - 12)*(-4)\/8. List the prime factors of j(t).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 2.4985088615?\nAnswer: 3.4985088615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mboo. Give prob of sequence ob.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 - -16.8. Let b = t - 18. What is the nearest to 0.2 in -4\/3, b, 3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 - 2310?\nAnswer: -2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 11*r**2 - 10*r - 8. Let s be l(-12). Let b = s - -40. Find the second derivative of -5*d + 4*d**4 + b*d**4 - 2*d**4 wrt d.\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 567622 and 638.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*r + 2103 - 64*r - 1421 as g*r + s and give s.\nAnswer: 682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {l: 7, u: 9}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*x - 96, 0*y + 5*y = x + 466. Is y != 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2388 and 0.04049?\nAnswer: 0.19831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2662 greater than 5359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158, -309, -458, -605, -750?\nAnswer: -893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86730702?\nAnswer: 2, 3, 17, 850301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z - 6. Let g(x) = -3. Let f(k) = -56. Let v(w) = 4*f(w) - 77*g(w). Let a(h) = 10. Let o(j) = -5*a(j) + 7*v(j). Give -8*o(y) + s(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppppppuupp. What is prob of picking 4 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -31 - 29. Calculate the highest common divisor of 36 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -41 (c) -5 (d) -155\/3 (e) 4 (f) -0.5 (g) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166288?\nAnswer: 2, 19, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2688, 14, -3, -11 in increasing order.\nAnswer: -2688, -11, -3, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxkkzkzxxkxzxzzxxkzx. What is prob of picking 1 x and 2 z?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 29 = 4*r, -2*m - 3*m - r = -24 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 11:11 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 + 2*g + 1. Let l(n) = -n - 11. Let p be l(0). Let o(w) = w + 10. Let u be o(p). Let k be b(u). Do -3 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fms when three letters picked without replacement from {s: 3, m: 1, f: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-90)\/12)\/(12\/16)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 + 139. Let p = -409 - -744. Suppose 5*i - h = p. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 315467585?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 184\/(-1150)*10\/(-4). Let q = 2.1 + -2. What is the nearest to q in -0.4, r, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 833567 and 14511840.\nAnswer: 4319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1224 + -855. Suppose 2*f - p = 27. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*x = 296*x + 21385 for x.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1516, 1614, 1776, 2002, 2292, 2646?\n\"Answer: 32*r**2 + 2*r + 1482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 3:17 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**3 - 34*s**2 + s + 15. Let t be p(17). Suppose 0 = 2*m - m - 3. Suppose 3 = m*k - 9. Calculate the highest common factor of k and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 7307.06.\nAnswer: -7302.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 259793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12, -19, -26, -33?\n\"Answer: -7*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + x**2 + 4*x - 3. Let p be g(2). Let h(f) be the second derivative of f**2\/2 - f. Let w(y) = 2*y - 1. Determine p*h(d) + w(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*v + 415, 3*g + 7*v - 4*v = 255. What is the highest common factor of g and 9040?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -651 divided by 830?\nAnswer: -651\/830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*1\/(-4) - 4. Does 9 divide 636\/24 + (-2)\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 621096 + -13?\nAnswer: 621083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 77761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81830 and 138532345.\nAnswer: 5845","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/(-9)*(-9075)\/(-120032) and -64\/2697.\nAnswer: 21576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11002 (base 4) in base 10?\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 5, -61, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -19*a + 16*a. Calculate the lowest common multiple of a and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.4 + -7. Which is the third biggest value? (a) v (b) 4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a56 + 1?\nAnswer: -1a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 - 55. Suppose -q - 3*g = 12, 4*g + 11 = 4*q - 21. Solve v = 2*z - 5*z - q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + f + (-2*f + 2*f - f)*(2 - 1 + 0) + 3 - 3 + 2*f + (3*f + 1 - 1)*(-1 + 4 + 1 + (3 - 6 + 4)*(-485 - 569 + 1434)) to h*f + r and give h.\nAnswer: 1154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (-19 + 10 + -14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13.91 + 897.91. Let t = 884.01356 - c. What is t rounded to 4 decimal places?\nAnswer: 0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5 - 20. Suppose -z*s = -25 - 0. Suppose -4*k = -s*m - 8 - 37, 0 = -k + 4*m + 14. Calculate the remainder when 17 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 396*y + 3184. Determine w(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3105169712 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 8*k**2 - 6*k + 1. Determine g(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1067 + 1072 = -5*s. Let f be s*(6 + -13 - -6). Solve -n + 3 = f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.19 and -302784?\nAnswer: -57528.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 0, -51, -136, -255, -408?\n\"Answer: -17*a**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**6\/2 + 13*a**5\/2 - 15*a**4\/4 - 45*a**3 - 40*a**2 - 307*a. Find q, given that j(q) = 0.\nAnswer: -1, -1\/3, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*a, 2 = -l - 2*a + 7. Let f(h) be the third derivative of -h**5\/60 + h**3\/6 + h**2. Let g be f(l). Solve g*p + 10 = 5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 102. What is the tens digit of g(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3180 and 45?\nAnswer: 9540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 4 + j**2 + j**2 - 2*j + (-9*j - 23*j - 2*j)*(-j + 0*j + 4*j).\nAnswer: -100*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 9*s**2 + 17*s. Let h be (-8)\/6*(28 + -22). Let c(b) = 3*b**2 + 6*b. Calculate h*c(o) + 3*t(o).\nAnswer: 3*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10855022?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -112, -171, -284, -469, -744?\nAnswer: -1127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*d**2*v - 39*d**2 - 455*d + 283*v wrt v?\nAnswer: -9*d**2 + 283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 12 = -4*q, 2*a - 2*q + 9 = 3. Solve -5*y + 2*m - 23 = 0, -2*m + a = 3*y + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 14*d**2 + 12*d - 13. Is k(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337 + 335 = -2*j + 2*c, 2*j = -2*c - 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 9 + 5*r**2)*(-13 + 13 - r) to o*r**2 + z + a*r**3 + j*r and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 199311.0047 - 199250. Let n = s + -61. What is n rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82419226 divided by -5303.\nAnswer: -15542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 84977566 take away 8?\nAnswer: 84977558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6 + 12\/(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.5874623 to one dp.\nAnswer: -10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, x: 2, f: 2}. Give prob of sequence xxp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -24. Let d be (-2)\/(-11) + (-634)\/u. Let i = d + 5. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 287 and 4 + 16 + -5 - 6.\nAnswer: 2583","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/752 and 23\/18392.\nAnswer: 1728848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9060 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19 (b) 0.1 (c) -4 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkzzkwkwwkwkwkwwkkk. Give prob of picking 3 z and 1 k.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3 = 43. Suppose 3*u + 35 = j*u. Solve h + 0*h = -u*y + 3, -3*y - 6 = -2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49548 to the power of 1\/2, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -204514043 (base 6) to base 12\nAnswer: -124b923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33564 + -33480. What is the second smallest value in 0, i, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(1\/5)))**(-38)*(l**(-11))**(-27))**(25\/2) assuming l is positive.\nAnswer: l**(7235\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*g + 738 = 0, 0*g + 5*g = -15. Let h = -575 + u. Is h bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 30 and 2420556.\nAnswer: 2420586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*a**2 - 2078*a**2 - a - 3218*a**2 - 1282*a**2 - 2.\nAnswer: -6696*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 426.88 - 426.32031. Let c = -0.56 + a. What is c rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3 + 53*x**2 + 26*x + 3. Let y be n(-26). Differentiate -51*q**4 + q**y - 2*q**3 + q**3 + 27 - 68 wrt q.\nAnswer: -204*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 799229 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -75*p - 5. Let a be v(-3). Let x be ((-2)\/4)\/((-22)\/a). Let l(w) = -w + 5. Let y be l(0). Solve x*b = 5*d + 45, -y*d - 2*b - 33 = -4*b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*s*y + 3*s + 7*y + 4 wrt y?\nAnswer: -10*s + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 154*p**2 - 139*p + 237. Determine u(-5).\nAnswer: 4782","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 99 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 6:25 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -795 (b) 1\/3 (c) -5.6 (d) 0 (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/9 + 740*f\/3 - 2218\/9.\nAnswer: -2*(f - 1109)*(f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 542955675 divided by -5\nAnswer: -108591135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2817711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -143.161587 rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = w - 108. Suppose -w*m + m = -409. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/20 + (-12962)\/(-616). Let i = r + -246\/11. Let h be 7\/(147\/14) - (-4)\/(-6). Which is the nearest to -2? (a) i (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (5 + 4 + -16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 0*y + 4 - 3*y - 15 + 6. What is v(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 12*q**2 + 49*q + 35. Determine i(-15).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35393 by 24.\nAnswer: 35393\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 23*p**3 - 3*p**2 - 14*p + 7. Is w(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*i - 859 + 1630 + 3753 = 0 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 108*j**2 + 107*j - 900. Is 89 a factor of f(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(210)*2)\/sqrt(7))\/(-2*sqrt(486)).\nAnswer: -sqrt(5)\/9 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 + -160. Let b be ((-24)\/28)\/((-5)\/q). Let m be (-15)\/6 + 1 - (-9359973)\/b. What is m rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, -2, 132, 1 in decreasing order.\nAnswer: 132, 6, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m*r*v**3 - 8399*m*r*v**2 + 77*m*v**3 + 25*m*v - 2*v**3 with respect to r.\nAnswer: m*v**3 - 8399*m*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 5:50 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10615 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -146441*p**4 + p**3 - 34544*p - 21 wrt p?\nAnswer: -1757292*p**2 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1892 divided by -1433?\nAnswer: 1892\/1433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -196 - -2194. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28941 or -57883\/2?\nAnswer: -57883\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**(-14)*l**(1\/5)*l*l**(2\/9) assuming l is positive.\nAnswer: l**(-566\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47 or -32?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t. Let k(h) be the first derivative of 21*h**2\/2 - 2*h - 10. Let c(z) = 1679*z - 161. Let b(d) = -2*c(d) + 161*k(d). Determine b(i(q)).\nAnswer: 23*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3443648.\nAnswer: 2, 13, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, c: 1, k: 2, l: 1, r: 2, u: 1}. What is prob of picking 1 c and 1 k?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 11 = -315*a + 316*a, 3*a + 3*y + 3 = 0. What is the smallest common multiple of 19 + -5 + 1 + -4 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h\/(((h*((h*h\/h**(-21))\/h)\/h)\/h)\/h))\/h*h\/(h*h**9)*(h*h**(-1\/2)\/h)\/(h*h**(4\/17)*h))**(-24) assuming h is positive.\nAnswer: h**(12540\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.753741 rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 587*h + 3552 + 2604 - 2047 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -119.93987848 + -0.05898152. Let q = 120 + x. Round q to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4) + (-575)\/10. Suppose -504 - 306 = -5*w. Let k = i + w. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -259, -488, -717, -946, -1175, -1404?\n\"Answer: -229*a - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -119136.6676 rounded to the nearest integer?\nAnswer: -119137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 6*g**2 - 3*g - 4. Let x = -5 + 8. Suppose x*u = -u - 20. Does 15 divide r(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*f - 28*f = -13. Let x be 442\/1521 + 2\/f. Which is the closest to 0? (a) x (b) -0.5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*p**3 - 5 + 14178*p - 28298*p + 14120*p.\nAnswer: -16*p**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 2*t**2 + t. Let g be a(-4). Suppose 22 = -3*r + g. Let v be (-1 - (-16)\/4) + (r - -18). Solve 5*d - 3*k = -16, 4*d + k + 0*k + v = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 2*l - 3*l**3)*(-2*l + 1 - 1)*(133 - 44 + 17).\nAnswer: 636*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/14*(-3)\/(189\/(-12))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*k + 4 = 0, 3*x + 1 + 5 = -3*k. Solve x = -g - 0*g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/42)\/(21\/(-378)))\/(2\/(-14))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34722378*w**3 - 6*w + 167396?\nAnswer: 208334268*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2117703 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 49728 = -4*n - 193950, -w + n + 144228 = 0. Round w to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001589500 rounded to the nearest one million?\nAnswer: 1002000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 8, -3, -1, 0, -2, -16 in ascending order.\nAnswer: -17, -16, -3, -2, -1, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r = 61*r - 40 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55979328 + -56020832.979. Let l = -41488 - r. Let o = -17 + l. Round o to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*2 + sqrt(68))*2 - -2*sqrt(68)*-3)\/((-1*sqrt(484) - sqrt(484)) + sqrt(24)\/sqrt(24)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 60.9021 to one decimal place.\nAnswer: 60.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t. Let h(x) = 205*x - 15. Let g(j) = h(j) + 6*q(j). Let v be g(-7). Let z be 1 - -3 - (v + 2). Round z to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + a**2 + a + 5. Let r be j(2). What is the second derivative of -2*k**4 + 26*k**3 + 0*k**4 - 4*k - 34*k**r + 6*k wrt k?\nAnswer: -24*k**2 - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 7:02 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 2*w**2 - 2*w - 1. Let c be h(-2). What is the highest common divisor of c and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**5\/20 - g**4\/2 - 3*g**3\/2 + g**2 + 7*g. Let o be i(6). Let d = 56 + o. Let c(b) = b**2 - 6*b + 2. What is c(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -4038\/805?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 541*-0.04.\nAnswer: -21.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*c = 27363, -225*t = -221*t + 5*c - 21874. What is the thousands digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 3:10 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 475.70633 - 475.7. Round r to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2\/13 (b) 0 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/165 and 41\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -28555.581 rounded to the nearest one hundred?\nAnswer: -28600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145 by 81.\nAnswer: 145\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 + 97?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 3*o**2 - 8*o + 1. Let j be z(9). Suppose -b + 26 = -0*b - 4*x, -x + j = 5*b. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n*n**(-2\/3))\/n)**(-13\/7)\/(n*(n\/(n*(n*n\/(n\/((n\/n**(-6))\/n)))\/n))\/n*n*n**(-1\/4)*n))\/((n**(1\/7)*n*n)\/((n*n\/n**(-1\/5))\/n))**28 assuming n is positive.\nAnswer: n**(-9563\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*g**4 + 4*g**3.\nAnswer: 4*g**3*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (1 + -1)) + 80. Let q be (17 - -3)\/(1\/3*2). Suppose -3*a = 2*o + 3*o - q, -5*a + n = -o. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 10*c + 25 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 less than or equal to 3988\/145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y**3 - 1482*y**2 - 7. Let u(c) = -c**3 + 247*c**2 + 1. Determine -2*b(i) - 13*u(i).\nAnswer: -i**3 - 247*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/5179544 and 27\/144680?\nAnswer: 25897720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and -355.\nAnswer: -31.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/309318 and 63\/515530.\nAnswer: 1546590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3\/7)*v*v**(-6\/5) assuming v is positive.\nAnswer: v**(-22\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10471971187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + 10. Suppose n + 2*n - d = t, 3*n - 6 = -4*d. Solve 2 = -f + n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*h + 0 + (0 + 0 - 2)*(3*h + 2*h - 3*h))*(75138 - 37647 - 37604 + 4*h) in the form k*h**2 + s*h + l and give s.\nAnswer: 678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3672811*d**2*n + 14*d**2 + 5499308*d*n + n wrt d?\nAnswer: 7345622*n + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 2*w**2 - 55. Let d(v) = 10*v**2. Give p(d(f)).\nAnswer: 40*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence if when two letters picked without replacement from {g: 1, x: 2, i: 2, r: 3, f: 6}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**7\/1260 + 5*h**4\/12 - 4*h. Let x(m) be the third derivative of k(m). Let i(r) = -14*r. What is x(i(f))?\nAnswer: 392*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 - 2*h**3 + 0*h**3 + (2*h - 2*h - h**2)*(2 - 2 - 2*h) - 3*h + 5*h + 0*h**3 + h**3 + 0*h**3 + 8*h**3 + h**3.\nAnswer: 11*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*x + 1007927 = 1017807 for x.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2812 divide 4976873628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2770 - -2775. Solve 4*x + n = 12, 0 = 10*n - i*n - 20 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*f + f - f = -19*f + 1740 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1864564 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69027616.\nAnswer: 2, 7, 17, 18127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000049853 to 7 dps.\nAnswer: 0.0000499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2 + 452*f - 896 = 0.\nAnswer: 2, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -610299 = 51*m - 204*m + 297450. List the prime factors of m.\nAnswer: 17, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4000, -14941, -32832, -57673?\n\"Answer: -3475*o**2 - 516*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1010000000?\nAnswer: 1001111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 203 - 3*u - 203 as o + g*u and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*k = 6*k - 52 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1152 and 10314.\nAnswer: 660096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84123.2 - -84123. Let a = -0.3 + 0.8. Which is bigger: a or g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 + 17283*f + 11 + 13 - 37 + 34524*f)*(0*f + 0*f - 2*f**2) in the form l*f**3 + d*f**2 + g + m*f and give l.\nAnswer: -103614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3575, -2563, -1555, -551, 449, 1445, 2437?\nAnswer: 3425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 70625196, 70625194, 70625192, 70625190, 70625188?\n\"Answer: -2*y + 70625198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 808\nAnswer: 1\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**3 + d**2 + 4*d + 4. Suppose 5*l - 60*l = -110. Let c(n) = 2084*n**3 - 1 + 5*n + 6 + l*n**2 - 2080*n**3. Give 4*c(i) - 5*v(i).\nAnswer: i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -32. Put 3, -2, y, 1 in increasing order.\nAnswer: -2, y, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**6)\/f)\/f**15)**(1\/23) assuming f is positive.\nAnswer: f**(-21\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9857*r**3 - 2106*r**2?\nAnswer: -59142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 - 4*i. Let w be -2 + 4 - (2 + 1). Let d(r) = -22871*r + 22865*r - 3 + 1. Let f be d(w). What is y(f)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (((sqrt(624) + sqrt(39))*-4)\/sqrt(3) - (6*sqrt(39)\/sqrt(3) - (sqrt(117) + sqrt(117)*-1 - sqrt(117))\/sqrt(9))))**2.\nAnswer: -216*sqrt(13) + 9493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*a - 384 = -108*a. Calculate the smallest common multiple of a and 298.\nAnswer: 2384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + 0)*(3 - 1). Suppose p = 3*g, -5*z + z = -g - 8. What is the remainder when 7 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g**2 + g - g)*(-g - 4*g + 4*g) + g - g - g**3 + 0*g**3 + 0*g**3 - g**3 - 128 + 259 - 16*g**3 - 132 to the form t*g**3 + l*g + b*g**2 + y and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 840650*g**3 + 840641*g**3 - 1681303*g**3.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3263748 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18732 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (13\/3)\/((-4)\/(-24)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1297*h**3*w - 536*h**3 + 14*h**2*w - h*w**2 + 26 wrt w.\nAnswer: -1297*h**3 + 14*h**2 - 2*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**2\/7 + 456*v\/7 + 454\/7 = 0.\nAnswer: -227, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7350058 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 722 and 155458?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-29)\/290)\/(4\/(-10)). Let j = 20.026 + -0.026. Let x = -17 + j. Which is the second smallest value? (a) r (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/72)\/((-20)\/(600\/15)))\/((-22)\/(-4))?\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69881411?\nAnswer: 19, 229, 16061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a - 14*a + 3860. List the prime factors of a.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 5*g - 52 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 478044 and 18.\nAnswer: 478044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/19 (b) -1\/75 (c) -0.2 (d) -6 (e) 10 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -11554246\/339 >= -34082?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (32 - 33 - (9 + -2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1140440.30061 - 1140430. Let t = -10.3 + u. What is t rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-17)\/b)*b**18)\/(b**3\/(b*b*b**(1\/34)*b)) assuming b is positive.\nAnswer: b**(1259\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1080825219.\nAnswer: 3, 139, 389, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010110 (base 2) in base 9?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*146.\nAnswer: -876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n - 2*n - n**4)*(-1 + 1 - 1) + n**4 + 2 - 2 - 40*n - n**4 + 0*n**4 + 30*n to f + r*n + s*n**4 + m*n**2 + i*n**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2870 divided by 14.\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 8*i - 9 - 4)*(-10 - 2 + 1).\nAnswer: -88*i - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.121 plus -3098311.5792?\nAnswer: -3098311.4582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1311, -1309, -1297, -1269, -1219, -1141, -1029, -877?\n\"Answer: m**3 - m**2 - 2*m - 1309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 - 1121*y**2 - 314720*y - 313600.\nAnswer: -(y + 1)*(y + 560)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 21 = l. Let c be ((-8)\/(-7))\/(2\/l). Solve -c*n + 7 = n - r, -3*n = -2*r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.325591 times 3\nAnswer: 0.976773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1579 + -958. What is the remainder when g is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 729 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + 122021?\nAnswer: 122001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 517503 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2250.8 times 7.138\nAnswer: 16066.2104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/(1\/(36\/8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -20?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 563241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*x - 4 = 0, 4*h - 7*x + 2*x = -36. Let a(r) = -60*r - 7. Is a(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -150*j + 5*j**2 + 74*j + 102*j to the form b*j + h + q*j**2 and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1033, -4023, -8961, -15847, -24681, -35463?\nAnswer: -48193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 289855.5ml in litres?\nAnswer: 289.8555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -14239 (b) 0.2 (c) 2 (d) -3 (e) 36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -5. Let z = -14 + p. Let j be (-1)\/6*(-8)\/(-2). Do z and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.3 times 2438?\nAnswer: -86061.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6592 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 12:34 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17\/3 (b) -0.1 (c) 1003\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**3 - 2*l**2 + 1. Let h be f(1). Suppose h*o = -0 + 8. Suppose -5*p + 20 = -w, -o*p - w = 4 - 11. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -0.4. Let j = d - -0.1. Let l = 358.6 - 359. What is the biggest value in j, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1130)\/6215*(-110)\/48?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/(-55) + 3\/30*92. Which is smaller: 5 or k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2208)\/(-48))\/(-1380)*8?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -8*y + 58. Let f be s(6). Let m(k) = -k + 14. Let z be m(0). Let v = z - f. Calculate the lowest common multiple of v and 62.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*1)\/sqrt(10))**2 + sqrt(13) + -2 + -2.\nAnswer: sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 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: Sort -8, -0.3, 5 in descending order.\nAnswer: 5, -0.3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/2 of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 236313 and 10164?\nAnswer: 945252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 20 = -5*o, -f + 6*f - 2*o + 31 = 0. Let c = 8 + f. Let t(m) = 1601300*m**3 - 800650*m**3 + 3*m**2 + 2*m - 800652*m**3. What is t(c)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87781 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, z: 2, f: 1, w: 4, d: 2}. Give prob of picking 1 d, 1 z, 1 l, and 1 w.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -24*d + d**2 + 13*d + 18*d - 1. Calculate l(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6004510777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 + -21?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**2 + 108*s + 4609. Give h(-23).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 0 + 15*z - 19\/30*z**5 + 0*z**4 - 3*z**2 + 11\/3*z**3. Find the first derivative of n(v) wrt v.\nAnswer: -76*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*j + 43*j - 3920392 = 32*j. What are the prime factors of j?\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/248 and -81\/41432.\nAnswer: 1284392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -477.\nAnswer: -11\/477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19234?\nAnswer: 2, 59, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32\/40 + -3 + 1. Suppose 0 = 4*u - 1 - 7. Suppose i - 2*i = u. Which is the nearest to i? (a) 0.5 (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 10928383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-702)\/(-63) - 11)*-4. What is the closest to -0.0654 in 0.1, l, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p**2 - p - 10*p**2 + p.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 185\/2*(-18)\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 13*m + 13. Let n be s(-14). Let g(a) = -2*a - 1. Let x(q) = 27*q - 10. Let k(d) = n*x(d) - 4*g(d). Is 27 a factor of k(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121508724 divided by -41078?\nAnswer: 2958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 2:58 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/7 + 12\/7. What is the third derivative of -6*g - 2*g + 8*g - 6*g**b + 3*g**6 wrt g?\nAnswer: 360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000623198 to six decimal places.\nAnswer: 0.000623","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 2 + 4 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4707*-15283\nAnswer: -71937081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6564998302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4*u)*((0 - 2 + 0)*(1 - 8 + 2) + 5 - 3 + 0).\nAnswer: -48*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 6:06 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 1077.\nAnswer: 2\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knkk when four letters picked without replacement from nkkkknnnnnn?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/522284 and -85\/447672.\nAnswer: 3133704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 3\/2, -0.5, -1\/3, 1, -3016?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/5 (b) 1 (c) 1.08 (d) 476 (e) -5 (f) 0.22 (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1237737 and 4112481?\nAnswer: 127486911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-152)\/(-988) + 199312\/26 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m**2 + 45*m + 7. Let g(l) = 7*l**2 + 48*l + 6. Let i(p) = 4*g(p) - 5*q(p). Give i(-17).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-5))\/(38\/(-95)). Solve -q - x*n - 7 = 0, 2*n + 16 = 4*q + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 3 = 3*x. Calculate the smallest common multiple of 29 and x.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.07136 - 2.47136. What is the closest to -1\/2 in v, 3\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3.04. Let z = i - 0.34. Let w = 0.966 + 0.034. Which is the second biggest value? (a) z (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-36\/11)*a**(-4\/35) assuming a is positive.\nAnswer: a**(-1304\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -55258845184*h**2 - 337563392*h - 515524 = 0.\nAnswer: -359\/117536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -357*a - 3401. What is the tens digit of q(-52)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o - 8. Let z be l(6). Find the third derivative of 1815*b - 14*b**2 - 1815*b + 15*b**z wrt b.\nAnswer: 360*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20.1089 + 0.0089. Round f to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(76)\/sqrt(4) + -4 + -2 + sqrt(171) + -3*(sqrt(76) + -2*sqrt(76) + sqrt(76))\/sqrt(4) + -5)*1)**2.\nAnswer: -1700 + 352*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2344\/20510)\/(24\/(-15))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 26*i - 615.\nAnswer: (i - 41)*(i + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 410322 (base 8) to base 9\nAnswer: 225630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xs when two letters picked without replacement from xsfxxxxxxxxxxxsxx?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 11. Suppose -j - n = -4*j. Let a = 6 - j. Calculate the least common multiple of 9 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7742 (base 8) in base 3?\nAnswer: 12120121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/((sqrt(3)*2 - sqrt(3)) + sqrt(3))*5.\nAnswer: 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5565, -11133, -16697, -22257, -27813, -33365, -38913?\nAnswer: -44457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + 51. Suppose a = 7*n + 21. Solve -n*v + 1 = -19 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t - 94*t**3 + 26*t - 88*t**3 + 179*t**3 + 18.\nAnswer: -3*(t - 3)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30563.6 + 30564.300022. Let z = -1.84 - -1.14. Let u = z + y. What is u rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7*d**3 - 13*d**2 + 5*d + 8. Let v(y) = y**3 + y**2 - y - 1. Let g(b) = k(b) + 6*v(b). Suppose -3*o - 5*t = -69, 4*o - 3*t - 7196 = -7278. Give g(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -165*k**3 + 1 + 362*k**3 - 184*k**3 + 7*k**4 + 2*k**2 to the form l*k + o*k**4 + w*k**3 + s*k**2 + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**5*d*d*d*d**(-2\/15)\/d*d)\/(d\/d**4*d**(-2)*d))\/(((d\/(d**(-6)\/d))\/d)\/d**4)**(-10\/11) assuming d is positive.\nAnswer: d**(2408\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 495 and 1485.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**0))**(20\/9)*(t**5*t)\/(t\/t**(-1\/6)) assuming t is positive.\nAnswer: t**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20671*o**2 - 4*o + 2376 wrt o.\nAnswer: -41342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52001219 take away -0.2?\nAnswer: 52001219.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 34*b**2 - b + 1. Calculate the smallest common multiple of c(1) and 22.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/(p*p**(-8\/9)*p))\/p))\/p**(-1\/21))**22 assuming p is positive.\nAnswer: p**(2992\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6419 and -0.036?\nAnswer: -231.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.9 + -10. Let z = -0.9 - c. Let k = z - -1.8. Is 4 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-13 - -3 - (-31 + -3))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 3*j**2 + 4*j + 1. Let s be a(-1). What is the units digit of (-24)\/(11\/(-8) + s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2679642075?\nAnswer: 3, 5, 11, 149, 21799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21 + ((-39)\/(-26))\/(-6 + 138\/24). Solve 184 = b*h - 61*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3}. What is prob of picking 3 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542910 is divided by 706.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -21, -26, -33, -42, -53?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)\/((h\/(h\/(h*h**(-1))))\/h*h))**(-26)*((h\/(h**(-6)\/h))\/h*h\/h**1)**(-2) assuming h is positive.\nAnswer: h**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3881.\nAnswer: 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71.6 - 85. Round i to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 13 = 12. Suppose 13 = 4*l - j, j + k = l - 2. Factor 4*t**2 - 3*t**3 - 7*t**2 + 3*t**l.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62571369*i**4 + 149402637*i**2 wrt i?\nAnswer: -1501712856*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 646.527 litres in millilitres?\nAnswer: 646527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8321657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 190 - 202, 0 = -5*i + m + 49789. List the prime factors of i.\nAnswer: 3, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1840 and 8648?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*((-2*sqrt(396)*-1 - sqrt(396) - sqrt(396)) + 4*(0 + sqrt(396)) + 2)**2*-5.\nAnswer: -158505 - 2400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 353413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4 + 40*i**3 - 90*i**2 + 135.\nAnswer: -5*(i - 3)**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4038*q + 253*q + 1146*q + 922*q to o*q + u and give o.\nAnswer: 6359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*l**2 + 6*l - 6*l.\nAnswer: -51*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 - 44 + 14 + (-38 + 14 - 10)*(1 + 1 - 1))*(2*p - 2 + 2) in the form s*p + r and give s.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 88 = -2*u, d + 4*u = u + 28. Let g(r) = 8 - 12*r - 5*r - 2. Let p be g(-10). Calculate the greatest common divisor of p and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - n**2 - 5*n + 2. Suppose 14*r = -30*r - 132. Determine z(r).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 10. Let l = -48 + 51. Solve -o - 3*b = -2*b + 4, l*o - b = -p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14710?\nAnswer: 2, 5, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-4 - -1 - 1). Let f = 11 - b. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o = 27736. Let c = o - -70736. What is c rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 c when four letters picked without replacement from xstccxccccccccx.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*g, u + 0*u = 3*g + 4. What is the remainder when 111 is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10159 < 10159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 14\/5, -1\/3, 0.16, -0.1, -3?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137850.\nAnswer: 2, 3, 5, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -376.9 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -2. What is the closest to 2 in -0.3, -2\/19, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5 = 0, -6 = -5*w + u + 9. Suppose 110*l = 111*l + 199. Let z = l + 204. Solve z*a = 11 + w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 8 = -576*i + 579*i, 14*m = -5*i + 90 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10212463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80222909 and 1157.\nAnswer: 1157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 337790044?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**6\/120 + y**5\/60 + y**4\/24 + y**3\/6 - 3*y**2. Let d be c(-1). Is d + 0 - (1 + -118) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + a - 1. Suppose 0 = -4*p + 2*j + 12, 0*p - 4*j - 12 = -2*p. Suppose -p*b = -b. Suppose -g - 3 + 4 = b. Calculate r(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, 12, -10, -68 in ascending order.\nAnswer: -68, -10, -7, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -14*((-2)\/4 + 1). Suppose k - 3*k + 4*d = -8, 2*d = 2*k - 14. Let n = k + c. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*q**2 + 7*b**3*q - 17*b*q**2 + 11*b*q wrt q.\nAnswer: 2*b**3 - 34*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-609995 + 3 + -6). Round v to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15384394163 take away -176?\nAnswer: -15384393987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2859.7 times -18\nAnswer: 51474.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + v = -4, -4*k - 18624 = 3*v - 18632 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*v = -2. Let g be 2 - 628\/70 - -2. Let o = g + 32\/7. Do v and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2117763389?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*h - 53 + 27 + 27 to c + b*h and give b.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 30289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 2*b - 39, -49485*q - 4*b + 1 = -49482*q - 6*b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z + 0*z - z + (-4 - 5*z + 4)*(176 + 69 + 590).\nAnswer: -4173*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2, 3, 0.3, 0.0082 in decreasing order.\nAnswer: 9, 3, 2, 0.3, 0.0082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.9 - 1.1. Let g = -4.99 - x. Let s = g - 0.0091. Round s to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1489844 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7*((-4)\/(-2) - 1). Let a = 40 + -34. Suppose 17 = 3*i - a*i - b, -4*i - 21 = 3*b. Is i bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*q - 12 = -37*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, 116, 431, 1070, 2147, 3776, 6071, 9146?\n\"Answer: 19*v**3 - 9*v**2 - v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 92614711?\nAnswer: -370458844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637)*2*6.\nAnswer: 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-18)*6\/8. Let m = 0.29 + -0.72. Let i = m - -0.03. What is the smallest value in s, i, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 54.3993?\nAnswer: 54.5993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 593, 570, 543, 512, 477, 438?\n\"Answer: -2*c**2 - 17*c + 612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 162715151 to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lklllkkklllhqklklkk. Give prob of picking 1 h, 1 q, 1 k, and 1 l.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 17)\/(-5 + 2)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8636, -40408, -93362, -167498?\nAnswer: -262816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -3\/5, 4, -1\/19, 0.1, 1 in increasing order.\nAnswer: -3\/5, -1\/19, 0.1, 1, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.99 - -50886738.87.\nAnswer: 50886737.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**5 - 348*l**4 + 234*l**3 + 587580*l**2 + 1173081*l + 586080 = 0. What is l?\nAnswer: -96, -55, -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12002330 (base 4) to base 16\nAnswer: -60bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 36. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 (base 5) in base 2?\nAnswer: -101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 - -71. Let g(m) = m**3 - 6*m**2 + 5*m + 2. Let r be g(6). Calculate the remainder when y is divided by 45\/20*r\/6.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/7 - 12662*a\/7 + 16212636\/7.\nAnswer: 2*(a - 4549)*(a - 1782)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -128134724 greater than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*l**4 - 72*l + 25*l**2 + 72*l wrt l?\nAnswer: -528*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1529 + -1482. Let p = -0.103202 - 47.015798. Let b = p + n. What is b rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*i - 2 = 0. Which is the second biggest value? (a) i (b) -2\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2129667?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**3. Suppose -5 + 0 = -5*w. Let q(o) = 0*o**3 - 3*o**3 - w - 2*o**3 - o**4. Let k(m) = -5*d(m) - 3*q(m). Differentiate k(c) with respect to c.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 + t - 6. Let c be r(2). Suppose -v - c*v + 20 = 0. Let q = 4 + -1. Solve -2 = q*l + v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 8\/1417183?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 164541802 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133976 is divided by 3045.\nAnswer: 3041","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37\/2 + 19. Let n = -8 + 10. Factor -1\/4*z**3 + w + 0*z**n + 3\/4*z.\nAnswer: -(z - 2)*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-1 - 12) - (2 - 20)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + (-1 - (-2 + 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -554193*w. Let t(v) = 455*v. Give -4*l(x) - 4873*t(x).\nAnswer: -443*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*i + 39*i - 24*i - 8904 = -90*i for i.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54778879?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.055.\nAnswer: -0.0165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 626.556 nanometers?\nAnswer: 0.000000626556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9197514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88 - -90. Factor 1\/3*x**3 - 1\/3 + x - x**n.\nAnswer: (x - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2894041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*i + 9*i = 19*i - 280 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -4\/3, -12, -3, -2.5, -4\/17?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 - 0.25. Let w = 0.3 - o. Which is the second biggest value? (a) 0 (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -55, -158, -373, -760, -1379, -2290?\n\"Answer: -10*i**3 + 4*i**2 - 45*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 12. Suppose 6*l + 4 = l - 4*t, -5*l - 5*t = h. Suppose 0 = 5*o + c - 83, -3*c - 7 = -0*o - o. Solve l = -4*a - 0*a + o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605)*-3 + sqrt(5) + 3 + 4.\nAnswer: -32*sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 4:25 PM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.3 rounded to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 5)*(-3 + 1 - 2)*((3 - 2 - 2)*(6*t + 2*t - 4*t) + 239 - 14*t - 239).\nAnswer: -144*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -8 and -55619495 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 180 or -791?\nAnswer: -791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 16*d + 113 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6990 + -2?\nAnswer: -6992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -323061251*r**5 - 7*r**2 - 849494*r + 18 wrt r?\nAnswer: -19383675060*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**2 + 38*b**2 + 5 - 35*b**2 + 17*b to the form z*b + q + w*b**2 and give z.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-3))\/(3\/9). Suppose 21 - 63 = 7*x. Let h be w\/((10\/x)\/(-5)). Solve 4*q = -2*f - q, 0 = -5*f + h*q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14035 a factor of 667642733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*d = -35, -j - 8 - 12 = 5*d. Suppose t = -3*t - 4*i + 96, 0 = -j*t - 4*i + 118. What is the remainder when 129 is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 567*k**4\/2 + k**3\/3 + 275*k - 382. Find the third derivative of y(t) wrt t.\nAnswer: 6804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 126672.27 months?\nAnswer: 1055.60225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - (43 + -36)) + 28\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - w - 877520 = 0, 82*w + 1170033 = 4*y + 87*w. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 126?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -148, -618, -1484, -2812, -4668, -7118, -10228?\n\"Answer: -11*u**3 - 132*u**2 + 3*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-120)\/(-15) - 16\/(-1). Solve b = -17*o - 27 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -28 - -18 - (0 + -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -f + 36. Let a(b) = b**3 + 3*b**2 + 3*b + 3. Give a(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 1875 = -1405. Let p = -379 - n. What is the remainder when p is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 38, -2, -122, -322, -602, -962?\n\"Answer: -40*n**2 + 80*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 smaller than 73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(187))\/(sqrt(1100)*-4).\nAnswer: -sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1969 + (-8)\/(-3 - -7). Suppose -23*s + 30*s = c. Let x = -190 + s. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -5, -47?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2334\/7 + 2393\/7. Calculate the common denominator of 3\/(27\/15)*16\/(-10) and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (0\/(-3) + 1). Suppose -r*t = -2 - 2. Suppose -2*w = i + w - 23, 0 = -t*i - 4*w + 46. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -572 = -5*s + 333. List the prime factors of s.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 131722416 to the nearest integer?\nAnswer: 11477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -65. Suppose -1781 - 1351 = -87*u. What is the remainder when i is divided by u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3717793 to the nearest integer?\nAnswer: 1928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 17*r - 6. Give b(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -624*k - 189. Let d(y) = -628*y - 190. Let z(h) = 4*d(h) - 3*m(h). Is z(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 22*j - 18. Let p be n(-21). Suppose g + p*l = 134, -g + 5*l + 152 = 42. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -28955, -58314, -88083, -118262, -148851, -179850, -211259?\n\"Answer: -205*b**2 - 28744*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 809. Let d(w) = -40*w + 2. Determine m(d(j)).\nAnswer: -40*j + 811","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 976399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 20 - 20 = 0. Let x = 10 - n. What is the derivative of 3*p**3 - 92 + x*p**3 + 113 - 3*p**3 wrt p?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 135, 159, 187, 213, 231, 235?\n\"Answer: -i**3 + 8*i**2 + 7*i + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, b: 2, c: 5, y: 3, x: 3}. What is prob of picking 2 x and 1 g?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*r + 5*u = 7, -5*r = -u - 31. Let z = 4 + 16. Let x = z - r. What is the highest common factor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21133200021 (base 4) in base 6?\nAnswer: 125200013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 b when two letters picked without replacement from {b: 2, k: 2, a: 3, r: 1, v: 2, q: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65 - (281 - 136)) + 109.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f - 168 = -12*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/26*(1638\/21)\/(-2106)*9.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 426052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.86 + -0.26. Let g = -3 + q. Let t(h) = 3*h - 1. Let y be t(2). What is the smallest value in 4, g, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-16)*n*n**(-2\/23)*n*(n**(3\/4))**(-2\/15) assuming n is positive.\nAnswer: n**(-3263\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11454 = 607*i - 2791 + 2105 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1672 + 3009. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354552 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocunnnnncuocnnuncn. Give prob of picking 2 c.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2503, -27 in descending order.\nAnswer: 2503, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 8*o**2 + 11*o + 3. Let l(w) = w**2 + 1. Determine -3*l(m) + v(m).\nAnswer: 5*m**2 + 11*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -76020000 rounded to the nearest one million?\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -3, -92, 0, -0.9, 5 in descending order.\nAnswer: 5, 0, -0.9, -3, -18, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**4\/6 - 7*k**3\/6 - 2*k**2 + 14*k. Let u be r(4). Solve 0*w + 4*w = 2*l - 22, -3*w + 2*l - 19 = u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06452 * 2.\nAnswer: 0.12904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 83542.53 kilometers?\nAnswer: 83542530000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-16)\/40*-1415*3\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 5 = -6*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-114)\/45 - 7\/(-35) - -4. Which is the closest to -2\/7? (a) 0.2 (b) u (c) -0.47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124.1 + 124. Sort 5, -0.2, l, 0.2 in descending order.\nAnswer: 5, 0.2, l, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4, 0 = -28*k + 26*k + 4*h + 14. Suppose 0 = 37*x - 33*x + 5*f - 1129, k*x - 1401 = 4*f. List the prime factors of x.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (-1 - 1*-21). Solve 2*z = 7*z + o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -186, 2, 15702, 3 in descending order.\nAnswer: 15702, 3, 2, -4, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*q + 680 = -z, -2*z - 256 = 2*q. Let r = z + 394\/3. Put r, 0.2, 4 in decreasing order.\nAnswer: 4, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113.519 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 5*g - 199341 + 199374, 5*s = -2*g - 19 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 8068150.18 to the nearest ten thousand.\nAnswer: 8070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 16*i**3 - 2*i**2 + 2*i - 1. Suppose -3*t - 15 = -3*y, 16*y + t + 20 = 20*y. What is the remainder when m(1) is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y**2 + 9*y - 9*y - 2593.\nAnswer: 10*y**2 - 2593","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -64. List the prime factors of t.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + a = 30, -3*a - a = -4*s - 8. Let p(x) = 2*x**2 + 14*x + 31. Let g(h) = -h**2 - 7*h - 15. Let f(b) = s*g(b) - 3*p(b). Factor f(n).\nAnswer: (n + 3)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 + (5 - (93 + -123)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a + 1. Let i be v(4). Let y(g) = 4*g**4 - 13*g**3 - 5*g**2 - 7. Let t(c) = -2*c**4 + 7*c**3 + 3*c**2 + 4. Let u(b) = i*t(b) - 4*y(b). Factor u(x).\nAnswer: -x**2*(x - 1)*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 198 and 792.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3283 + -104?\nAnswer: -3387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84 - -84.5. Which is the closest to -25? (a) 0.4 (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a**3 - 19*a**2 + 19*a - 27. Let k(b) = 2*b**3 + 10*b**2 - 9*b + 13. Let t(j) = 7*k(j) + 3*z(j). Let l be t(-7). Solve g - 1 = -l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 9*q**2 + q + 40. What is d(8)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 42 = 9*o. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 214 by 279.\nAnswer: 214\/279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/195*2860\/52?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -852*j**2 + 164*j**3 + 852*j**2.\nAnswer: 164*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + -0.4. Let s be 1\/3 - 65\/177. Let y = -69\/295 - s. Which is the closest to 0? (a) -3\/2 (b) x (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -240 + 2158\/9. What is the third smallest value in 5\/2, v, -5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 + -4 + -3 + -17*1. Let l = b + 20. What is the second derivative of 52*z + 39*z - 116*z + 5*z**l wrt z?\nAnswer: 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -2, -0.9, -0.59, -131 in decreasing order.\nAnswer: 2, 0, -0.59, -0.9, -2, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 minus -0.3510897702?\nAnswer: -48.6489102298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2)\/((-25)\/(-10)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15 + -56 + (-16 + 13 - -2)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -262, -344, -482, -676, -926, -1232, -1594?\nAnswer: -2012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/585 and 73\/27972.\nAnswer: 1818180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*u - 8. Suppose 0 = u*s - 40 - 8. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 20 = -0*f, q + 4*f = 14. What is the remainder when 1107 is divided by q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82235147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 2*o - 16, 3*h - 4*o - 29 = -7 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**3 - 16*u**2 + 2*u + 1. Let a be k(4). Calculate the highest common divisor of a and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1166 from -10241043.\nAnswer: -10242209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6936403 tonnes in micrograms?\nAnswer: 693640300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**3 + 3*z**2 + z - 2. Let r be w(2). Let g be ((-30)\/(-25))\/(r\/(-10)). Solve -5*i - 30 = -g*l - 10, 0 = 4*l - 3*i - 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 686522 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10002 (base 3) in base 14?\nAnswer: -5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2573, -5, 3, 5, -4, -2 in decreasing order.\nAnswer: 5, 3, -2, -4, -5, -2573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 184 + 384. Let u = v - 340. Is 19 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 786944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -17?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 = -h - 4*h. Suppose -3*w + 49 = -h. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 51992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -174 + 97. Let p be (22\/m)\/((-1)\/7). Suppose -p*t = -3*b - 125, 0 = -t - 3*b + 66 + 19. Is 35 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89158 divided by 2?\nAnswer: 44579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**14\/(d*d*d\/(d*d**16\/d*d))*d**11\/d**(-16) assuming d is positive.\nAnswer: d**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 8*c - 315. Calculate the remainder when c is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 7*l - 8. Let t be g(-6). Let r = t - -7. Solve 5*y + 15 = -r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1661?\nAnswer: 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.15 and 48853.86.\nAnswer: 7328.079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 6*h**2 - 5*h + 23. Is z(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1285324 minus -0.265?\nAnswer: -1285323.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 2*j + t = -12, 16*j - 35*j - 22*t - 75 = -5*j - 17*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2977*u**2 - 1 + 2958*u**2 + 3007*u**2 - 8895*u**2.\nAnswer: 47*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8092413 to the power of 1\/2, to the nearest integer?\nAnswer: 2845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6145479 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 1 + -3 - (6020 + -6000)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207, 816, 1831, 3252, 5079?\nAnswer: 7312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 354339290 to the power of 1\/2, to the nearest integer?\nAnswer: 18824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1015 - 575. Calculate the greatest common divisor of p and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 122034.\nAnswer: 488136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 241783858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r. Let n(q) = -910*q - 162. Determine h(n(m)).\nAnswer: -1820*m - 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 50*k + 50*k - 153*k - 3*k**2 + 53*k. Let s(v) = -50*v**2. Determine s(g(y)).\nAnswer: -450*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 4:07 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - 2*r - 13*r)*(r + 1 - 1) + (r + 0 + 0)*(-r + r + 2*r).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrcf when four letters picked without replacement from rcfrccccrfucucu.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*m - 46, -5*m + 50 - 9 = -2*s. Solve -8*v = 4*o - m*v, -3*v = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -5, -0.2, -4.2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**4\/5 - 156*d**3\/5 + 6597*d**2\/5 - 12086*d - 148512\/5 = 0.\nAnswer: -2, 16, 51, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*y + 125*y + 5 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 14*n**2 - 17. What is r(14)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1034)\/141*(-1 + 968\/2). What is m rounded to the nearest one hundred?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-2)\/(-42)*21\/12\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -248, -224, -188, -146, -104, -68?\n\"Answer: -r**3 + 12*r**2 - 5*r - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 501096 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 651, 1314, 1975, 2634, 3291?\nAnswer: 3946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63*y + 63*y + 2*y**2)*(-2 + 2 - 1) - 40*y**2 - 6*y**2 - 6*y**2 + (1 - 1 + 1)*(-3*y**2 + 3*y**2 + 2*y**2).\nAnswer: -52*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Round -241000 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*(-16)\/288)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12440442431 + -2?\nAnswer: 12440442424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 17 + (-1147 - -1105).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**3 + 4430*t**2 + 2464150*t + 12210250 = 0?\nAnswer: -1105, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**3 - 2*m**2 - 2*m. Let o(d) = -6*d**3 - 5*d**2 - 5*d. Suppose -16*u + 13*u - 516 = 0. Let h be u\/(-387) - (-28)\/18. Determine h*o(v) - 5*z(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.130739 take away -1507?\nAnswer: 1507.130739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7839756?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 237.147us?\nAnswer: 0.00000395245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 30057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 1\/(-3) + (-1172)\/12. Let d = s + 677\/7. Which is smaller: 1\/7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6934285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p = -35*p + 48. Suppose -p = -5*m + 8. Solve m*a = n - 3, a + 4 = -n + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1102 - -2?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**3 + 47 + 41 - 4*i**2 + 4*i - 84. Let q be (9\/(-6))\/((-6)\/16). Let s(y) = -7*y**3 + 9*y**2 - 9*y - 9. Give q*s(k) + 9*w(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d - 3. Let p be j(-2). Let y be (-1 - 2)\/((-4)\/43*81\/108). Calculate the greatest common factor of p and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + -1 - 2)*1. Suppose 2*l + 4*i = p*l - 3, -l - 2*i = -3. Solve -2*q + l = -7*q - 3*a, -3*a - 3 = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 11:54 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.4, -1\/6, 335\/8, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5215*a + 151 = 5232*a - 138 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 e when two letters picked without replacement from eeemmmmeemmmeeee.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 28*v + 16*v + 101*v**2 - 70*v + 26*v - 5. Let d(j) = 3*j. Calculate d(b(r)).\nAnswer: 303*r**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -44792*o - 53134 wrt o?\nAnswer: -44792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f = -23*f - 3. Suppose 0 = f*q + q + 264. Let h = 265\/4 + q. Which is the fourth smallest value? (a) -0.4 (b) -0.04 (c) h (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/2*-4)\/((-15)\/10). Suppose 3*b = -5*g + 14, -b = -3*b + w*g + 2. Solve j - 1 = -4*s + 13, -b*j + 14 = 5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7171108*q**6 - 9*q**3 - 231855272*q**2 wrt q?\nAnswer: -860532960*q**3 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75302\/9 smaller than 8368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 5. Let k be ((-558)\/48)\/(-3) - 1\/(-8). What is the second derivative of 7*t**4 - k*t**4 + h*t**4 - 2*t wrt t?\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (1 + -3) - -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 9 (b) -92 (c) -4 (d) 2\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by -15981?\nAnswer: -4\/2283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1703591.\nAnswer: 37, 41, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - v. Let d be y(2). Suppose d*q - 194 = 42. List the prime factors of q.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 6*l**2 + 4*l. Let a be u(6). Suppose 5*x - 21 = a. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 1.469.\nAnswer: -7.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 130\/40 + (-2 + 3)*-3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**2 - k + k + (18*k**2 + 96*k - 96*k + (-k + k + 22*k**2)*(6 - 2 - 2))*(-4 + 0 + 5) as x + m*k + n*k**2 and give n.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 369124 to the power of 1\/2, to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2579*m - 2440 = 2823*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, r: 3}. What is prob of picking 2 r?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 8*t + 1. Let r(l) = -l + 189. Let m(n) = 11*n - 377. Let k(p) = -m(p) - 2*r(p). Give 2*k(o) + 3*w(o).\nAnswer: 3*o**2 + 6*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -40. Calculate the remainder when 10\/(-1) + 4 + (41 - 16) is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179630187 to the power of 1\/2, to the nearest integer?\nAnswer: 13403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 divided by -101?\nAnswer: -72\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -287 - -287.1. Let b = 8048\/15 - 161359\/300. Let l = b - 1\/300. What is the nearest to -1 in -5, l, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/(b\/(b*b**(1\/39))))))\/b**(8\/11))\/(b**(-2\/29)*b**(-12\/7)) assuming b is positive.\nAnswer: b**(181282\/87087)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -d, 8*d = -2*j + 5*d + 175. Suppose -42 = -m + j. Suppose -5*w + 5*u + 132 = -8, m = 5*w + u. Solve 0 = 4*x + 3*n + 27, w = -2*x - 2*n - 2*n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-12)*3\/(-15)*9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of f**6\/40 - f**4\/8 + 2*f**2 - 3. Let c(i) be the second derivative of d(i). Suppose c(q) = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 15\/26?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6258, 12511, 18756, 24993, 31222?\nAnswer: 37443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z**(-3\/5))\/(z**(-1)*z)*(z\/((z*z\/(((z*z\/z**1)\/z)\/z*z)*z)\/z))**41)**(1\/15))**(-2\/17) assuming z is positive.\nAnswer: z**(132\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4\/3)\/a)\/a*a*a*a\/(a\/((a\/(a\/(a*a**(-6))))\/a))*(a**(-1))**(-27))\/((a**(1\/4))**(-5\/6))**(-8\/3) assuming a is positive.\nAnswer: a**(172\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/506 and -149\/1226406.\nAnswer: 13490466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8055)\/3401*47\/(-235).\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -324 + 326. What is the units digit of (6 - (-5034)\/36) + v\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 7*b - 6. Does 10 divide r(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 25\/4, -9, 24, 80 in ascending order.\nAnswer: -9, -6, 25\/4, 24, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 239305015?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 8*a**2 - 4*a + 9. Let p be x(8). Let g = p + 43. Solve 4*v + v = g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 2. Let p be a(0). Suppose -4*j = 4*l - 80, p*j + 7*l - 38 = 3*l. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 20*s**2 - 13*s + 31. What is the hundreds digit of x(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436647451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - 4 + 4)*(-31*f**2 - 2*f + 4246474 - 4246474) as t + g*f**3 + o*f**2 + h*f and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zklllzljfzfftzfffjf. Give prob of picking 1 t, 1 z, and 2 f.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.4 + 2. What is the second biggest value in -5, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 + -5313.\nAnswer: -5234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 141?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -h + 4*u, 45*h - 31*h = 16*h + 5*u + 20 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*x + 463 - 1273. What is the greatest common divisor of x and 6525?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - (-5 + -2)) + -3. Let x be (2\/16*d)\/(-1). Which is the closest to x? (a) 0.4 (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1530 and 188275.\nAnswer: 3388950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6674*k*u**2 - 208*k*u - 3*k - 253*u**4 - 3*u + 122 wrt u?\nAnswer: 13348*k - 3036*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.5 and 2.55.\nAnswer: -3.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61937434 and 292?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 4 = -5*z - 13, 3*z - 5*s + 1 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzttezttttytttez. What is prob of picking 1 z and 1 y?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-12)\/(-2) + -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 0*n + n + 3 - 4*n + 2*n. Let j = 38 - 15. What is the remainder when j is divided by f(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2\/(g\/(g\/(g*g**(1\/6)))))\/(g\/(g*g**(2\/27)))**(3\/26) assuming g is positive.\nAnswer: g**(197\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 less than -20389?\nAnswer: -20390.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8529, 34098, 76713, 136374, 213081, 306834, 417633?\nAnswer: 545478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 1:56 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14837 - 31974. What is c rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*c + 33, 2*c + 5*n - 2*n - 19 = 0. Suppose p = -c*p - 30. Let w be (18\/p + -1)*-5. Calculate the highest common factor of 42 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7425 - -7457. Let y be (-1)\/((-1)\/(-3)*-1). Find the third derivative of i*a**5 + 4*a**3 + 25*a**2 - 9*a**3 + 5*a**y wrt a.\nAnswer: 1920*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/110 - (-4)\/(-22). Let s = 6 + -7. Sort s, d, 0 in increasing order.\nAnswer: s, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -266986*j + 2135895. Calculate x(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-7022009\nAnswer: 702200.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 6:54 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -242*f - 12518. Calculate p(-52).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (4 + -1 + 4)) + 0 - (7 + -80)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 2*h**2 + h - 4*h + (-2*h + 2*h - 3*h)*(4 - 4 - 2*h) + 0 + 0 - h**2 to the form b + l*h + y*h**2 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5 + 128*l**4 - 14608*l**3 + 222208*l**2 - 673760*l - 2355200 = 0 for l.\nAnswer: -128, -2, 10, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 74700952 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*1\/(-2 + 3). Round a to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12314108 is divided by 680.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (840\/(-147))\/(-20) - (-496)\/(-168)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**3 + 119*f**2 - 369*f + 65. What are the prime factors of q(-60)?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -16 + 188853\/21505 + (-2)\/11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/162, 1\/5, 2\/21, -117029?\nAnswer: -117029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 57 + 197. List the prime factors of s.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 11:43 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or 15?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(125)*1*-6*1)**2 + -1.\nAnswer: 4499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 12. Let x be (-1984)\/(-2560) - 1\/(-16)*-6. What is the nearest to 0.1 in 2\/9, x, l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 10*d**2 - 10*d + 2. What is u(11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*v + 7*v = 125. Suppose -3*f = 12, 10 = 4*j - 2*j + 2*f. Find the common denominator of ((-6)\/(-9))\/(v*20\/j) and 61\/14.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1882.\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 + -3 - -4) + 41. Let q = -40 + k. Let w be (q - (2 - 3)*1) + -4. Let j(h) = h**2 + 6*h - 5. Determine j(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 125342, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12.6 and 90.6.\nAnswer: -1141.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = d + 2*d - 365, -373 = -3*d - z. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 a, and 1 u when three letters picked without replacement from tbueexa?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -11852 greater than or equal to -11852?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 4\/(-5))\/((-6)\/20). Let b be -4*((-18)\/8 - -1). Solve 2*h = a*y - 20, h + 2*y + b = 3*y for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.201 and 626.\nAnswer: 625.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((8 - 7)*-6))\/((-23)\/(-2)).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + x. Suppose 0*k - 3*k = 0. Let o be l(k). Suppose o = -5*u + 3*u + 30. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**3\/4 - 548015241*r**2\/4 + 25026725638031625*r\/4 - 25026725090016387\/4 = 0.\nAnswer: 1, 91335873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 - -422?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/12)\/(1\/(-2)). Is t not equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 45 = -f, 1223 = -4*f + 1303 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 2*a**6\/75 + 23*a**5\/100 + 13*a**4\/30 - 4*a**3\/15 + 267*a. Factor c(h).\nAnswer: h*(h + 2)*(h + 4)*(4*h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 205*v**2 - 33*v + 38. Let p(n) = -40*n**2 + 6*n - 7. Let a(z) = -4*g(z) - 22*p(z). Let h(u) = 66*u. What is a(h(k))?\nAnswer: 261360*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -1.3. Let x = 5.11 - 0.11. Let g = x - v. Sort 2\/9, g, -1\/2.\nAnswer: -1\/2, 2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-5) + -1 + 0. What is the third smallest value in -0.5, 5, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**3\/6 - 19*h**2. Let g(b) = 19*b**2 + 19. Let d(w) = -3*f(w) - g(w). What is the first derivative of d(z) wrt z?\nAnswer: -38*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*p + 208261 - 416533 + 208272.\nAnswer: 48*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -3. Let w be -1*l\/(-60)*5. Do 5\/3 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55819*i**4 + 18*i**2 + i + 50.\nAnswer: 1339656*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 plus -0.52?\nAnswer: 52.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3 (b) -3\/5 (c) -0.188 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*i - 26 = 121, 0 = -y + 2*i + 27. Let n = -334 + 369. Solve -4*r + n = y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/3 (b) -1\/9 (c) 843\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -6*x**2 + 16*x - 26. Let w(t) = t**2 - 3*t + 5. Suppose -3*p - m + 4 = 0, 5*p + m = 3*p + 1. Calculate p*k(y) + 16*w(y).\nAnswer: -2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6333624.4 rounded to the nearest 100000?\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35659799 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -5, -6.\nAnswer: -6, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 1106264588?\nAnswer: 4425058352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z - 14. Let h(u) be the first derivative of u**2\/2 - 3*u - 3. Let k(i) = 14*h(i) - 3*s(i). Let n(c) = 2*c**2. Give n(k(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 5*p**2 + 6*p - 16. Let j be k(5). Suppose i + j = 20. Calculate the lowest common multiple of 126 and i.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -340*s**4 + 17*s**3 + 9574*s**2 wrt s?\nAnswer: -8160*s + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 11*k + 34. What is b(14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 7:20 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-833)\/(-147)*(-198)\/(-187)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -343 + 398. Let a = -54.5 + b. What is the third biggest value in -0.2, a, 1, 2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -609 - -801. Suppose 188*n = i*n - 1612. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2956 and 21.\nAnswer: -2935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2199317077?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261633 is divided by 355.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -58845?\nAnswer: 58847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 377 - 381 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(1640\/492) - (-90)\/32?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*g**3*z**3 - 30*g**3 - 5*g*z**3 + 59*z**2 wrt z.\nAnswer: -24*g**3 - 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3090 times -0.2?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4485172682553 take away -0.5?\nAnswer: 4485172682553.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -251*o**2 + 2 - 2 + 117*o**2 + 133*o**2. Let b = 4 - 3. Let q(h) = h. Let f(u) = -5*u**2 + u. Let z(g) = b*f(g) - q(g). What is -2*j(v) + z(v)?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -99190, -99133, -99074, -99013, -98950, -98885?\n\"Answer: i**2 + 54*i - 99245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 3*t + 0*t + (t + 3*t - t)*(1 - 4 + 0))*(5 - 5 + t)*(4*t**2 - 3*t**2 + 1 + 0*t**2).\nAnswer: -11*t**4 - 11*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -24 + -2 - ((7 - 0) + -13).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/55 + -4 + 3. Let p(z) = -3*z**2 - z**2 + 18*z**2 - 5*z - z**3 + 3 - 9*z**2. Let h be p(4). Which is the closest to h? (a) -0.3 (b) i (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = l - 7765, 3*s - 6360 + 565 = 5*l. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86 - 29. Is j a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 214, 502, 904, 1420, 2050?\nAnswer: 2794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27236.0124 + -27225. Let u = t + -10.9. What is u rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 17 = 11. Solve 3*w = -y - 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-40)*45\/12.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19731716 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + v = -3, -5*v = -2*v + 9. Suppose 4*a + 6 = a, k = 5*j + 2*a - 381. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 8 = -5*p. Let t be 22\/1 - (2 - 1). Suppose d - 2 = 4*h, 2*d - 3*h - t = -2*d. Solve d = -p*z + 5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.153 - -4.683. Let l = -1.02 + -0.08. Let v = l - -0.1. What is the third biggest value in k, -0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -419*p**4 - 89*p - 118*p**2 + 120*p**2 + 41*p - 4*p**3 + 36*p + 2*p**3 to i*p**4 + k*p**2 + w*p**3 + c + n*p and give i.\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(612) + (2 + (sqrt(612) + 0 - sqrt(612)) - sqrt(612))**2 + (1*sqrt(612))**2*-2 + -3 + 3*-4*(sqrt(612) + sqrt(612)*2).\nAnswer: -234*sqrt(17) - 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14889 + 20294 = -16*g - 31*g for g.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**2)**(-37)\/(r*r\/((((r\/r**(-6))\/r*r*r)\/r)\/r)*r**(4\/7)*r))**(-19) assuming r is positive.\nAnswer: r**(14440\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - (-15 - (-43 + 5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-4) + ((-303)\/4 - -1). Let i = -65 - p. What is the third derivative of -3*o**6 + i*o**2 + 13*o**2 + 0*o**2 wrt o?\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 7 - 15 + (2 - 3 + 4)*(6 - 5 - 19))*(-5*i**2 + 3*i**2 + 0*i**2) to x + y*i + s*i**2 and give s.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 7\/5 (b) 3 (c) -5\/2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 92936, 92951, 92978, 93017, 93068, 93131, 93206?\n\"Answer: 6*x**2 - 3*x + 92933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001454793 to 5 decimal places.\nAnswer: 0.00145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1028*y = -2058*y + 1020*y + 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o + 8. Let l be z(-1). Suppose -4*w = 0, 2*h - l*w = w + 4. Is -1*(h - 134) - (3 + -1) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-12 - (-3 - -3)) - -14.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5941.15166 + 5941. Let o = -0.151 - d. Round o to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2088477 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-79 - 8 - 30 + 0)*(-3*k + 3*k - 7*k) to the form w*k + o and give w.\nAnswer: 819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*n**2 + n)*(-5*n + 4*n - 6*n).\nAnswer: -14*n**3 - 7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 5*t = -28, 175*t = 5*m + 172*t + 10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11394 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3182*v**3 - 1095*v**3 + 1269*v**3 + 5043*v**3.\nAnswer: 8399*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 2:04 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 9 = -z. Suppose 14 = z*o + 2. Suppose -7*t + 96 = -o*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36227034 divided by 1341742.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2039058 divided by -3\nAnswer: -679686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -85 + 92 - (-22)\/(-4). Which is the closest to -1\/2? (a) 4 (b) r (c) -35 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1487652698 to the nearest integer?\nAnswer: 38570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2063.405 rounded to the nearest ten?\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + -0.18. Let b = -9.98 - w. Let x = b - -6. Put 0, x, -1 in increasing order.\nAnswer: x, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 252812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(12\/(-1 - 3)). Suppose -3 = o + 2*j - z, 2*j = 8. Let h be 12 + o - (1 + 1). Are 1\/17 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7592576 and 2816?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, -1, -0.3 in increasing order.\nAnswer: -7, -1, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 6*l - 3. Let i be s(7). Suppose -p + 35 = 4*j, 2*j - i*j - 3*p + 15 = 0. Calculate the highest common factor of j and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 0 + 1)*(-11)\/2. Suppose -6 = -v*y + 27. Solve -2*c = -5 + y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79636.\nAnswer: 2, 43, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/4*(-10 - -34)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -515887002 divided by -9553463.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(6\/(-4))\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5143 and 1850?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1546138 = -24*p - 1546282 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 17 + 0*h + h + 18*h.\nAnswer: 19*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9586*n**4 - 6*n**3 + 1584*n - 6?\nAnswer: 115032*n**2 - 36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10211111222 (base 3) to base 4.\nAnswer: -102123020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 315.7761525 to the nearest 10.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33999933*x**3 - 146*x**2 + 252754*x wrt x.\nAnswer: -203999598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 204771\/40, -1\/5 in ascending order.\nAnswer: -1\/5, 0.4, 204771\/40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-380)\/(-95))\/(6\/(-15))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = a + 7, m + 6 = 3*m. Suppose 4*t + 9 = 7*t. Suppose -t*v = 4*b - 18, -6*b + b + 2*v = -11. Solve -25 = -o - 4*p, p - a = b*o - 3*p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3010\/30 - 3)*15. What is the greatest common divisor of 40 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*m + 3, 4*l - 5*l - 4*m + 14 = 0. Let u(r) = -9*r**2 + 4*r - 7. Let y(s) = -4*s**2 + 2*s - 3. Calculate l*u(j) - 5*y(j).\nAnswer: 2*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-10))\/k)**40 assuming k is positive.\nAnswer: k**(-400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 542 and 11667905?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-21) + (-6)\/21. Suppose x*h = -g + 5*h - 30, -3*g = h + 10. Sort 2, 3, g in descending order.\nAnswer: 3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -397 in 2, -1\/3, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + 5*-4*sqrt(152) - (sqrt(152) - (sqrt(152) - -2*sqrt(152))*2))\/((sqrt(1944) - -1*sqrt(1944))\/((sqrt(45)\/sqrt(5))\/sqrt(3))).\nAnswer: -7*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 + -78. Let z be 3*(2 + a\/3). What is the tens digit of (z\/(-2))\/((-2)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1062, -2042, -3024, -4008, -4994, -5982, -6972?\nAnswer: -7964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three tenths of a centimeter in micrometers?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 5\/(-20)) + 1. Suppose -5*j - 2*d = 14, -3*j + 0*d - 10 = 2*d. Let c be -1 - 3\/j*2. Which is smaller: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide (35\/140)\/(2\/10376)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 4*h - 42 - 34, 4*h = 2*p - 14. Suppose -4*d + 41 = -p. Suppose 5*j - 9 = 26. Calculate the greatest common factor of d and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -93*a + 26739 - 22368 for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/((z\/((z\/(z*z**(-2\/19)))\/z))\/z)*z))\/z**(-4)*(z**(-7)\/z)\/(z*z**(-7)*z*z) assuming z is positive.\nAnswer: z**(-2\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62971623?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/(sqrt(36)\/(sqrt(64) - sqrt(4)))*4)\/(1*(sqrt(3) - -2*sqrt(192))*-4).\nAnswer: -3*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1002\/5 - 4183\/20. Let z = 354617\/22 - 16124. Find the common denominator of y and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29783.\nAnswer: 13, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-10.9.\nAnswer: -3.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -169*f - 6307. Determine p(-39).\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 26*q**2 - q + 13. What is the remainder when w(-27) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 362 - 420. Which is the biggest value? (a) -0.1 (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2531+47345.512\nAnswer: 44814.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 324 and -11983.\nAnswer: -3882492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 72504137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*c - 8. Let s = 5 - c. Solve -8 = -o + s*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20035140 (base 6) to base 9\nAnswer: -1050806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-1 - -3) - 0. Suppose -n*s + 11*s = 20. Suppose -4*l - y = -20, -s*y = 4*l - 25 - 7. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 7*r - 6. Let o be l(5). Suppose -o*j = -21 + 129. Let z = 6 - j. What are the prime factors of z?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**2 - 9*w - 13. Let u(n) = n**2 - 2*n - 3. Calculate -4*t(f) + 18*u(f).\nAnswer: 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 278?\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -141 + 292. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -88 - 90 - 161*x + 178 - 323*x in the form q + z*x and give z.\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -220*a**3*c**3 - 2*a**3 - 16*a**2*c**3 + a**2 + 752*c + 4 wrt c?\nAnswer: -1320*a**3*c - 96*a**2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 491.2583 rounded to the nearest ten?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4*b - 5)*(15 + 7 - 7) + (2*b + 0*b + 0*b)*(-5 + 2 - 1).\nAnswer: 52*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -223 + -41?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 + x + 2. Let v(w) = 6*w**2 - 2*w + 18. Let n(u) = -2*o(u) - v(u). Let h(b) = -2*b. Calculate n(h(r)).\nAnswer: -8*r**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 162, -151, 4, -4, -1 in ascending order.\nAnswer: -151, -4, -1, 4, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, n: 7, z: 2}. What is prob of picking 2 n?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 585 + 3*p + 670 - 1251.\nAnswer: 3*p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4226.31054 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = y + 82. What is the nearest to 0 in 4, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**3 + 1645*f**2 - 406574*f - 819720 = 0.\nAnswer: -1863, -2, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21932304 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35579 and 17411?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12888 and 405972?\nAnswer: 811944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40279942?\nAnswer: 2, 20139971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000100101010 + 1000010?\nAnswer: -110000011101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60.882 - -0.118. Let w = x - 47.75. Let r = w + 0.15. Round r to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-6 - -1) + (10 - 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*m + 54*m + 1474 = 1094. What is the closest to -3 in 232, -2\/7, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 + 2*d**2 - 2*d**2 - d**3 - 1 + 1 + (2*d - 2*d**2 - 2*d)*(6*d - 2*d - 3*d) - 3*d**3 + d**3 + 3*d**3 as k*d**2 + q + r*d + l*d**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -31 (b) -11 (c) -0.1339 (d) 2\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 21. Let y = b - 9.9995. Round y to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -1) + 2 - -18. Suppose 4*h - c = 0, 0 = 2*y + 3*h - 14 + 3. Let k be (-4 + 2)\/(1\/y). Solve -o = -k*o - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1030135211.\nAnswer: 7, 8461, 17393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o**2 + o - 5. Let x(h) = -h**3 - h**2. Let s(g) = -m(g) + x(g). Let f be s(5). Let p = 2 + f. Solve 0*q = -p*q + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-41)\/((-287)\/1302) + 9. Which is greater: y or 194?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/5 - 1913070\/(-1075) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(1539) + sqrt(1539) + (sqrt(1539) - (-3 + sqrt(1539) + 4)))**2*-5 - (0 + sqrt(1539) + -1 + -1))*1.\nAnswer: -30780 + 171*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 2*u - 3*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/18*3)\/((-22)\/(-99)). Solve 3 = -t*x - 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -659915*b**3*q**2*s + 4*b**2*q**2 + b**2*s - 3*b*q*s + 2*b - 3121*q**2*s + q**2 wrt b?\nAnswer: -3959490*q**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9977\/13 - 767. Let m(j) = -j**3 + 6*j**2 - 6*j + 4. Let n be m(5). Which is smaller: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3465 is divided by 139?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1512)\/35)\/(((-9)\/10)\/3). Suppose f - 10 = v. List the prime factors of f.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.716 - 1.716. What is the nearest to -1 in 1, 29, j, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**6\/30 - 2*x**5\/3 - 11*x**4\/6 + 120*x**3 - 6*x**2 + 2*x - 24. Suppose c(o) = 0. What is o?\nAnswer: -4, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -276, -5, -230582 in descending order.\nAnswer: -5, -276, -230582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 401309076.4846?\nAnswer: -401309079.4846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence og when two letters picked without replacement from uuouugggoooooo?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 5, 3*t + 3*j = 4228 + 980. List the prime factors of 2\/(-6) + (-3)\/((-9)\/t).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 3*l - 2*l + (17 + 5 + 3)*(2*l - 4*l + 0*l))*(0*l**2 + l**2 - 2*l**2).\nAnswer: 46*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49697, 200885, 452867, 805643, 1259213?\nAnswer: 1813577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((135\/270)\/((-2)\/56))\/6?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -615, -631, -649, -669, -691, -715, -741?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4842.9999999116 + -4843. What is h rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 17215*d - 17810*d - 5*d**2 + 1 + 35025*d.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -25*w. Let y(q) = q + 8. Let k be y(-11). Let f(c) = 2*c. Give k*b(t) - 35*f(t).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 2*p + 10. Calculate w(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-235)\/(-45) - 2\/9. Suppose 24 = p - g*z - 3, 3*z = 3*p - 21. Find the second derivative of -x - x**5 + p*x**3 - 2*x**3 wrt x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10617 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: Let t = 52 + -52. Which is the nearest to -1? (a) -5\/6 (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b**2 - b**3 - 3*b**4 + b + 8*b**2 - 4*b**2 + 2*b as l*b**3 + d*b**2 + t + q*b**4 + u*b and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 492661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -4*m - 24. Find k, given that -15 + 26*k + m*k**4 - 8*k - 2*k**5 + 9*k**2 - 13*k**2 + 7 - 16*k**3 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -3*o - o. Calculate the remainder when o is divided by (-4)\/2 - 18\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460 is divided by 205.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orzrrbbbzbrzzrrrrrr. Give prob of picking 1 o and 1 z.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 233.53812571 and 0.6.\nAnswer: 234.13812571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 2 + 1)*(5*a - 4*a - 3*a) + a + 2*a - a - 2*a + a + 0*a - 425 + 285 - 2*a + 130)*(-1 - 3 + 6) in the form h*a + n and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3a04 (base 14) to base 2\nAnswer: -10011111010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2934 + 0.93.\nAnswer: 1.2234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 640*h**3 + 2*h**2 - 2*h + 1. Let f be 2\/(-4)*(-5 + 3). Is t(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*h + 23, 0 = -18*q + 13*q + 3*h + 55. Solve 6*k - q*k = -7*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -9*q**2 - 7*q - 4. Let p(w) = 5*w**2 + 4*w + 2. Let y = 5 + 6. Suppose -3*b - t + 20 = 0, b + 4*t - 10 = 2*t. Determine b*d(x) + y*p(x).\nAnswer: x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35636 + 35621. Which is the second biggest value? (a) 7 (b) 14 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.73156 times 0.4\nAnswer: -0.692624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1493458, -5973781, -13440984, -23895061, -37336006?\nAnswer: -53763813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*d - 3*d + 0*d)*(2*d**2 + 0*d + 0*d + (4 - 3*d**2 - 4)*(-3 + 4 - 3)) as t + p*d**2 + o*d**3 + r*d and give o.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 2850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -22.468065.\nAnswer: 22.068065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 78.434 and -0.8.\nAnswer: -62.7472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10216 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: What is the greatest common divisor of 259 and 5074439?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 3*l. Let m(h) be the third derivative of -h**4\/24 - 35*h**2. Determine -7*m(t) - 3*q(t).\nAnswer: 3*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (28\/(-3))\/(-1) + (-6)\/18. Let d be (7 - 3)*y\/12. Suppose -d*l = q - 6 - 7, 4*q + 38 = 3*l. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73254789?\nAnswer: 3, 8139421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 630\/27 - (-5)\/(-15). Let f(n) = -2*n - 35*n - w + 39 - 15. Determine f(1).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-1 - (0 + 5)) + 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0101272 rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21798435*d**3*m - d**3 - 10295005*d wrt m?\nAnswer: 21798435*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 481790068 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: Which is the closest to -2\/3? (a) -2 (b) 1\/5 (c) 73\/56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -18*q. Let t be (-4)\/(-14) - (-9)\/(-7). Let n(u) = u. Let y(s) = t*v(s) - 15*n(s). Let f(a) = a**2 + 4*a**2 + 0*a**2 - 6*a**2. Determine f(y(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least -97257404.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 16 = 4*c, 0 = -2*c - 0*s + 4*s + 28. Let u be -19 + -6 + 15 - 0. Sort 4, -2, c, u in ascending order.\nAnswer: u, -2, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18*(-18 + (-370)\/(-20)). Solve -i*n = 7178 - 7115 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times -38.769?\nAnswer: -503.997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -11 - (-3 + (-1 - 4\/(-4))). Does 33 divide 2\/g + 2379\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvumevnmnnvvuvu. Give prob of picking 1 m and 1 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 - 12\/(-2))*39\/12 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -11*u - 1496. Let l = u + 968\/7. Let h = -0.1 - -0.1. Which is the nearest to -2? (a) -2 (b) l (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + 6. Suppose -4*d - y = -7*d. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 12, p: 6}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/3)\/(6\/(-45)). Suppose -t*c - 5*f + 38 + 57 = 0, -4*f = 12. Let r = 29 - c. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8217742191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*q - 4*z, 3*z + 21 = q + 10. Which is smaller: 8\/5 or q?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (140\/21 - 8)\/(6\/9)*-5297.\nAnswer: 2, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 f, and 1 c when three letters picked without replacement from {d: 1, c: 1, f: 2, y: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -o - 3*b, 4*o - 5*b - 106 = o. Let w(c) = -21*c + o*c - 19*c. Let u = 2 + -1. What is w(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21766 and 4?\nAnswer: 87064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 800536?\nAnswer: 800536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(396)\/sqrt(9) - sqrt(11)) + (-1*sqrt(275) - (sqrt(44) + (sqrt(1100) - sqrt(44))))**2.\nAnswer: sqrt(11) + 2470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17\/18 + -7\/6. Let b be (-4 + 38\/10)\/((-1)\/(-3)). Let z = b - -19\/15. Which is greater: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133 = -61*l + 42*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -828, -1664, -2500, -3336, -4172, -5008?\nAnswer: -5844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124661 = -15*v - 124871 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 8:46 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1365239 (base 11) to base 3.\nAnswer: -11102100220111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*n + 21662 = 506*n - 12466 for n.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 4. Let u = -3 + w. Suppose u*a - 830 = -a. Round a to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28902, -115519, -259872, -461955, -721762, -1039287, -1414524, -1847467?\n\"Answer: p**3 - 28874*p**2 - 2*p - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42874 + 4287467\/100. Calculate the common denominator of n and 26\/5.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/8 (b) -5 (c) 4 (d) 26\/1863 (e) 0.5 (f) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4232 - -12419?\nAnswer: d1d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.68 + -4.68. Which is the fourth smallest value? (a) 0.1 (b) 0 (c) 2\/9 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 696 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2336 + 2336 + 1099*x - 1102*x - 4672.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -30360\/37 > -822?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g + 9. Let d(y) = 4*y - 10. Let n(u) = 5*d(u) + 6*f(u). Let q(o) = -o + 2*o - 4*o - 5. What is 4*n(a) + 3*q(a)?\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*m**2*n**3 - 6*m**2*n**2 - m**2 + 4543*m*n**2 + 2088007*n**3 - 7 wrt n?\nAnswer: 138*m**2 + 12528042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p + 5 = 4*u, -2*u + 3*p = -7. Let q(y) = 0*y**3 - y**3 + 2*y**3. Let b(w) = -5*w**3 - 1. Give u*b(m) - 4*q(m).\nAnswer: m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 5, -32, -5, 168 in decreasing order.\nAnswer: 168, 5, 4, 1, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 11 = 4*j, -7*j + 2*j = -3*z - 30. Suppose -2*i + 2*h + 72 = 0, 0 = -4*i - 7*h + 2*h + 135. What is the remainder when i is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -649167, -649170, -649175, -649182, -649191?\nAnswer: -649202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -199934 or -1\/2?\nAnswer: -199934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*z - 356. Let p be z\/6 + (-12)\/18. Let u = p + 95. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**5 + 2*i**4 + 1300320*i**3 + 122088873*i**2.\nAnswer: 60*i**2 + 48*i + 7801920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 27*l**2 - 20*l + 50. Determine k(26).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.0028421 - 3.2211974. Let q = u + 1.5240354. Let j = q + 3.7. Round j to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7698)\/(-42) + -3 + 0. Let y = -180 + j. Factor 0 + 4\/7*m**2 + y*m**3 + 2\/7*m.\nAnswer: 2*m*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-4*1\/(-46)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, s: 5, m: 9, r: 2}. Give prob of sequence msps.\nAnswer: 15\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140111 is divided by 224?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 121100020?\nAnswer: -121100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*n + 3)*(-1 + 1 - 3)*(19*n**2 - 7*n - 1 + 15*n**2 - 39*n**2) to the form f*n + z*n**2 + p + u*n**3 and give u.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(243) + 2*sqrt(243)*-5 + -3 - 3*(sqrt(243) + 0 + 3 + -3))**2.\nAnswer: 3888*sqrt(3) + 210006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 167+-30.0545\nAnswer: 136.9455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 45c3 - -2?\nAnswer: 45c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, 1986, -1\/5, 478\/7 in descending order.\nAnswer: 1986, 478\/7, 0.8, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1010110011110001101111 (base 2) to base 5\nAnswer: 1211133034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*r - 128*r - 126*r + 486*r - 121*r.\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + c + 4 = 0, 6616 = 5*p + 2*c + 6591 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109236779, -218473551, -327710323, -436947095, -546183867, -655420639?\nAnswer: -764657411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210993, 421501, 632009, 842517, 1053025, 1263533?\nAnswer: 1474041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 4*i + 26, 4*g + 9 = 6*g - i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24316632 by 6.\nAnswer: 4052772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27585 = 1173*l - 1158*l. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 122.3 + -115. Round c to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79714 by 2.\nAnswer: 39857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 9:42 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20742105*o**5 - 746882*o**2 - 38.\nAnswer: 1244526300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -9*f**3 + 2*f**2 + 2*f - 1. Let x be c(2). Suppose 12*d - 3*d = -8*d. Suppose 15*m - 9*m + 372 = d. Which is smaller: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*r - 17, -2*d = 2*r + d + 3. Let u = r + -4. Let q(y) = 4*y**2 + 3*y**u - 5*y**2. Let c(z) = -2*z**2. Determine c(q(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 + (12\/2 - 4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -17. Suppose -4*m = m - s. Suppose 0*g + g = m. Solve 4 = 2*q + 3*o - o, -2*q = -g*o - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*v + 111. Let i = -2 + v. Suppose 4*d - i = 21. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 4*c - 1. Let t be x(-3). Suppose -2*j + 2*v = -36, -4*j - t*v = -37 - 11. Suppose 2*u - 5*k = -32, -j = 4*k - 6. Which is bigger: -23 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -13 - (473 + -449).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 246 - 230. Let t(l) = 5221 - 5221 + q*l**2. Let s(d) be the first derivative of -d**2 - 4. Calculate s(t(h)).\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88222 + -43312. Does 30 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-434)\/(-31))\/(4*(-1)\/(-6))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 18, z: 1, m: 1}?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*d + 335, a - 8*d = 2*a - 103. Solve 69*u - a*u = -12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -164 - 177?\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 374 + -464 + -2 + 81.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - l + 4 + 5 - 5*l. Let s be j(-7). Suppose -4*x - 20 = -4*i, 6*i - 55 = s*i - 3*x. What is the smallest common multiple of 14 and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -814771, -1629552, -2444327, -3259090, -4073835, -4888556, -5703247?\nAnswer: -6517902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 9*m**2 + 66*m + 12. Calculate j(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6482, 26037, 58650, 104321, 163050?\n\"Answer: 6529*s**2 - 32*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 4:50 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o - 6 = 0, -5*o - 66 = -4*z. What is the remainder when (-4896)\/(-90) - (-3)\/5 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54456 is divided by 2515?\nAnswer: 1641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, n: 5, g: 8, u: 1, z: 2, i: 2}. What is prob of picking 1 i, 1 z, and 2 q?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*z - 3736 = 0, -2*z = w - 1996 + 119. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 + 0*p**2 + 2*p**3 + 5*p**2.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (104\/1)\/(-13)*(-9)\/10*660\/(-264)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -4*p - 2*f + 1285438, 0 = -4*p - f + 1285437. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14192 + 2\/1 + -4. Suppose 3810 = 5*o - s. What is o rounded to the nearest 100?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 124 - 108. Let j = 33 - z. Suppose q = 3*i - 5*i + 20, -i = q - j. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c - 3. Let f be y(-4). Let m = 42486 - 42480. Solve f = -m*d - 13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2044 - -13562. Is 26 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t. Let l(m) be the first derivative of 49\/3*m**3 - 59 + 0*m**2 + 0*m. Give l(y(q)).\nAnswer: 196*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8986, -15065, -21144, -27223?\n\"Answer: -6079*a - 2907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/6 or -1\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/26 and -46\/117.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 423 and 90688897.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 8*b + 13. Let c be y(-6). Put c, 7, 4, -2 in decreasing order.\nAnswer: 7, 4, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k*p**4 + 465*k*p**2 - 1322*k - 4 with respect to p.\nAnswer: 8*k*p**3 + 930*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53840849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -76\/7, 475.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2215349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a week in seconds?\nAnswer: 45360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (1 - (8 + -21))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**3 + 2*u**3 + 3 + 25*u - 27*u - 5*u**4 as v*u**3 + q*u**4 + x*u + b + o*u**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190296, -190297, -190298?\nAnswer: -190299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-3)\/45)\/1 - 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 574*y + 132213. Calculate l(-176).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (-65 - (83 + -80))?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4\/3 + 3688*w**3\/3 + 850084*w**2 + 783777448*w\/3 + 90330350882\/3.\nAnswer: 2*(w + 461)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (15 + -34 - -17 - -17 - 16).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*x**4)*(0 + 0 + 2*x) - 3968*x**5 + 43*x**2 - 2884*x**5 - 43*x**2.\nAnswer: -6856*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {t: 4, f: 3, w: 10, s: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 292 - 1012. Calculate the greatest common factor of d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*u + 24*u + 21*u + 13*u**2.\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*d = 0. Suppose 6 - 3 = v. Solve -v*y = -d*y - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -54.8039379 and 0.5.\nAnswer: -54.3039379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)*-2 - (0 + sqrt(7) + sqrt(14)\/sqrt(2) + sqrt(7)))**2 + 3 + 0 + sqrt(7) + sqrt(7) + 5.\nAnswer: 2*sqrt(7) + 1191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 6516.\nAnswer: 6516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-227*d - 232*d + 463*d + 298)*(2 - 5 + 5) to t*d + p and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76.8 + -78. What is the closest to g in -5\/3, 2, 3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 3*a = -4, 0*u - 6 = -3*u - 3*a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4*h - 3 - 2*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**6\/12 + 31*v**5\/15 - 31*v**4\/3 + 40*v**3\/3 - v**2 - 19*v. What is f in m(f) = 0?\nAnswer: 2\/5, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 36*q - 25. Let y be t(34). Let x = y + 247. Is 18 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-630))\/(3\/(-72)*-6)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -174 - -162.7. Round o to 0 decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(7 - 4)*-42. Suppose z = s - 8*s. Sort s, 0, 2.\nAnswer: s, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -7766997\nAnswer: -3883498.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001220492 to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5047 and -0.3.\nAnswer: 1514.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105 + (57 - 139) + -32.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58201060 a multiple of 624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 - -96. Let t = -43 + v. What is the lowest common multiple of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l - 8 = 0. Let v = -4 + 6. Find the second derivative of l*q**3 - 4*q**3 + 2*q + v*q**3 wrt q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + o + 658, -26*r + 23*r - 3*o + 978 = 0. Solve r = 3*s + 310 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(102)\/(sqrt(24)\/(sqrt(20)\/sqrt(5))) + 3) - (5 + -5*sqrt(170)\/(sqrt(250) + (sqrt(250) - sqrt(250)*2) - sqrt(250))).\nAnswer: -6*sqrt(17) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-81)\/45)*-6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1467 = 7*d - 2096. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2116*c + 2119*c + 798 = 0. Let a be (c\/63 + 0 + 4)*-2. Factor 4\/9*h**4 - 4\/9*h**2 + a*h + 0 - 4\/9*h**3.\nAnswer: 4*h*(h - 1)**2*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, p: 7}. What is prob of picking 4 m?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10650 (base 15) to base 6.\nAnswer: -1040550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/2, -1.4, 318, 13\/5, 0.5?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57*l*m**4 + 10*l*m**3 + 5*l - 478*m**4 - m**3 + 1032*m**2 - 8*m wrt m.\nAnswer: -1368*l*m + 60*l - 11472*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 15*b**2 + b. Let d be f(-1). Let l = -9 + d. Suppose -4*t + 341 = -t - 2*j, -t - l*j + 91 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -424795, -424744, -424693, -424642?\nAnswer: -424591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7375, -7371, -7365, -7357, -7347?\n\"Answer: x**2 + x - 7377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 5:38 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 5*d**2 + d + 4. Suppose -2*y - 4 = 0, y - 507 - 466 = -5*i. Suppose 0 = -48*p + i - 3. What is the least common multiple of f(4) and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 110\/271?\nAnswer: 110\/271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-44)\/(-16))\/(1\/4). Suppose -4 = -3*p + b. Suppose -191 = 7*l - 205. Solve -4*v + 5*u + 5 = 2*u, -v - p = -l*u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.9 - -38.1. Let c = b + -44. Is c smaller than 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3566, 23081, 42596?\nAnswer: 62111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7887095 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k*(k*(k\/k**1)\/k)\/k*k)\/k)\/(k*k**(-1\/3)))\/(k**(-15)\/(k\/((k**(-2\/15)\/k)\/k)*k)) assuming k is positive.\nAnswer: k**(307\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/10 of a hour?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -1, -48, 3.\nAnswer: -48, -4, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 2*s**7\/21 + 2*s**6\/15 - 9*s**5\/5 - 13*s**4\/3 + 16*s**3\/3 + 24*s**2 + 228*s. Determine j so that w(j) = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 4*k + 87 - 65 = 0, -4*u + 20 = -2*k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - 1 + 3 + f + f**2. Let d be ((-3)\/(-2) - -1)*2. Suppose 4*z - 40 = d*y, 4*y - z = -2*z - 11. Give l(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2. Let d be w(0). Suppose 0 = 2*a - 5*q + 8, d*a + 2*a = -4*q - 8. Let i = -2253 - -15769\/7. Put 4, i, a in descending order.\nAnswer: 4, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200021 (base 3) to base 16.\nAnswer: -1ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5122206366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbbbbwwkklkdleb. What is prob of picking 1 d, 1 b, and 1 e?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -234 + 18287. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -191, -193, -195, -197, -199?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110362820*d**2 + 208341626*d.\nAnswer: -220725640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 4*c + 20, c - 5 = -11*t + 6*t. Solve t*w + 19 = 3*a + 2*w, -5*a + 5 = -2*w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**5\/420 + n**4\/168 + n**3\/21 - 10*n**2. Factor j(f).\nAnswer: -(f - 2)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 136 - 55. Let n be 1\/(1\/(-9)*-3). Suppose -4*t = n - 39. Calculate the highest common factor of r and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39777 bigger than 658?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34993 is divided by 29.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 8*f**2 + 11*f - 9. Suppose 4*h + 18 = 3*q, -4 = -2*h + h + 5*q. What is the remainder when v(7) is divided by 13 + (-3)\/(-6)*h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/793, -0.09, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1248)\/(-11648))\/((-6)\/14).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1859484 or 1859487?\nAnswer: 1859484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 5*w + 6. Suppose -25 + 0 = -5*d. Suppose d*h - 3*o + 17 = h, 4*o - 16 = 4*h. Give y(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - w - 1. Let q(r) = -4*r**4 + 1416*r**3 - 168476*r**2 + 6899252*r - 19219360. Let x(s) = q(s) - 4*z(s). Factor x(o).\nAnswer: -4*(o - 117)**3*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*q + 3*z + 248, -4*q = -2*z - 244. Let v = q - 57. Suppose -4*u = 5*p - 25, 7 = 2*u - v. Solve -o + 2 = m + p, 2*o = 5*m - 19 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1043204 + 1043228 = -4*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y**3 - y**2 - 5*y + 122. Let k(s) = -15*s**3 + 3*s**2 + 18*s - 426. Give 18*g(v) + 5*k(v).\nAnswer: -3*v**3 - 3*v**2 + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 12:37 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3533 - -0.4533. What is the closest to 1\/3 in -5\/6, q, -2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63645410.\nAnswer: 2, 5, 6364541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 1000110?\nAnswer: -1000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -219.3 - -219. Let y = 178\/639 + -4\/71. What is the third smallest value in -0.05, a, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82.5 - 5.5. Let r = -85 - y. What is the third biggest value in 1, 2, -0.1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (77 - (-16 + 56)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1729280.\nAnswer: 2, 5, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 17\/1 - (-92 + 88). Calculate the highest common divisor of d and 2086.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00060776 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 4)*(-3 + 1 + 1)*(-4 + 4 + d + (-2*d + 0*d + 4*d)*(4 - 4 - 2) + 2*d - 2*d + 2*d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j - 2*j**2 + 2*j. Let b(s) = 2*s**2 - 5*s - 2. Let p(h) = 234*h**2 - 650*h - 260. Let o(x) = 130*b(x) - p(x). Determine o(d(z)).\nAnswer: 104*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, c: 1, x: 4, i: 7}. What is prob of sequence bic?\nAnswer: 7\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 2*n = -13, -7*h - 336*n - 31 = -340*n for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 8. Let j be u(13). Solve -4*a = 3*f + 5, 0*a + 2 = j*a + f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -914 divided by 44166\nAnswer: -457\/22083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 7*l**2 - 9*l - 6. Let j be g(-8). Let u = 72 - j. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 15*p**2 + 7*p + 1. Is a(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/((sqrt(112) + sqrt(7))*5) - 4*sqrt(33)\/sqrt(3)*-2.\nAnswer: 201*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8173 - 8172.99972962. What is n rounded to six decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -1\/5, 39975, -2\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + (sqrt(132) + sqrt(132) + -2*sqrt(132))*1)\/sqrt(3))\/((sqrt(1452) - 2*sqrt(1452))\/sqrt(3)).\nAnswer: -sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63.6 - -49. Let r = -17.52 - l. Let m = 0.08 - r. Sort 2, m, -2\/3 in descending order.\nAnswer: m, 2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3008.083 kilograms in nanograms?\nAnswer: 3008083000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 307.551 weeks?\nAnswer: 186006844800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -16*u - 5*z, 5*u + 4*z + 6 = 4 + 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**2 + 6 - 4*u**2 - 2*u + 12*u**2 - 4 to the form z + h*u**2 + g*u and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three fifths of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 3 = -t. Let n = 90 - t. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*b + 980 = 40*b. Does b = -2.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.78987 decades in years?\nAnswer: 207.8987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -19, -35, -55?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 136*h**2 - 1. Let f(d) = 10*d**2 + 6. Determine b(f(k)).\nAnswer: 13600*k**4 + 16320*k**2 + 4895","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 1\/4*x**3 + 15\/4*x + 25\/4 - 9\/4*x**2 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4687796000 to the nearest one million.\nAnswer: 4688000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2668\/3 + -437585\/492. Find the common denominator of n and -97\/48.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**3\/4 + 47265*t**2\/4 + 47277*t = 0.\nAnswer: -4, 0, 15759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 4\/35*q**6 + 5 - 1\/70*q**5 + 0*q**3 - 1\/42*q**4 + 0*q**2 + 2*q. Factor v(c).\nAnswer: 2*c**2*(3*c - 1)*(4*c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 - -0.6. Let t = -3 - c. Let p = t - -3.6. Put 0.5, p, 2\/3 in increasing order.\nAnswer: p, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3593, 3595, 3597, 3599?\nAnswer: 3601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, k: 8}. What is prob of picking 1 k and 1 p?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -67828, -271684, -611458, -1087162, -1698808, -2446408, -3329974?\n\"Answer: -2*m**3 - 67947*m**2 - m + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 8:46 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j = -17*j - 1467. Let u = j + -131. Is 32 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5777*z - 912703. What is m(158)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -9*i**3 - 178*i**2 + 13*i - 21. Give g(-20).\nAnswer: 519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 894*a - 46. Let f be b(8). Factor 7106 - 3*x**4 - f + 3*x - 3*x**3 + 3*x**2.\nAnswer: -3*x*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 17*q**3 - 9*q**2 - 2*q + 5. Let g(i) = 26*i**3 - 14*i**2 - 3*i + 8. Let b(s) = 5*g(s) - 8*r(s). Give b(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 341.5129 meters?\nAnswer: 341512.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = b + 93. Let a = -47 - b. Is a a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 6:18 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/(392\/(-84)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 34*y + 29. What is p(-2)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-91 + 107*g + 91)*(0 + 1 - 3) in the form k*g + j and give k.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5369321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 3*p - 3*x = 279, -2*x = -4. What are the prime factors of p?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32\/19 in 1\/3, -4\/7, 24, -0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 21 = -5*r. Suppose -r*v = -4*v + 40. Let x = 2 - v. What is the lowest common multiple of x and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minus -2.4407501332?\nAnswer: 91.4407501332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 - 26. Let v = 46 - s. What is the highest common factor of v and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 - -56.9. Let m = -2\/97 - -220\/1261. What is the biggest value in x, 0.02, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + (-1 - 1) - -80 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 50\/3 (b) -6 (c) 4\/1107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8698206?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-24) - (-59)\/4. Suppose 6*x = 2*x + 6*x. Solve x = -9*f + 4*f + n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -2132.\nAnswer: -3\/2132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 605.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**2 + 0 + 0 + (1 + 0 - 3)*(-2*c**2 + 4*c**2 - 4*c**2) + (-5*c + 3*c + 3*c)*(1 - 1 + c) - 2*c**2 + 2*c - 2*c in the form j*c + s + y*c**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2*-6\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 12:54 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -123*u**2 + 4698*u - 1178. What is s(38)?\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 3*x - 3. Let p be m(3). Let r(j) = -j - 5*j - 300 + 310. Let i be r(2). Which is greater: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -l**3\/3 + l**2\/2 + l + 1. Let r be a(0). Let s be 3\/7 + 21\/(-49). Is s >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 - 306*h - 1238. Determine z(-149).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*s + 3*b, -5*s - 8*b + 3*b = -30. Find the third derivative of s*o**5 - 8*o**5 - 6*o - 2*o**2 + o**4 - 6*o + 2*o**5 wrt o.\nAnswer: -180*o**2 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w + 347496 = -21*w + 22*w. What is the thousands digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94 and 2020154.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -3*a**4\/2 - 6*a**2 - 11. Find the second derivative of j(p) wrt p.\nAnswer: -36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 35*i + 62. What is k(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2*v**3 + 183*b**2 - 92695*b*v**3 + 3*v + 34 wrt v?\nAnswer: 6*b**2*v - 556170*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -48 - 11 - (-5 + (22 - 8))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -177\/430 + 1\/86. Let v = 32.6 + -18.9. Let l = v - 14. Which is the third smallest value? (a) z (b) -1\/4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9536\/(-138272))\/((12\/3)\/(-2)).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.26 + -13628334996.2.\nAnswer: -13628334995.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 75132 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*o - 4*p + 248, -5*o + 3*p + 342 = 0. Let j = 68 - o. Solve j = u - 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -102\/5, 185, 1\/2, -1.9, 6?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 84\/30*80\/(-56). Let m = 246\/7 - 35. Which is the nearest to m? (a) -1 (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 142 + -140. Let s(b) = -b**2 + b - 4. What is s(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23.47 + 23.1. Let i = 0.03 - q. Which is the biggest value? (a) -0.3 (b) 9 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)\/(p\/(p*(p**(-1)*p)\/p*p*p)))**(-1\/2) assuming p is positive.\nAnswer: p**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 206879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63.6 + -37. Let j = i + -20. What is j rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.152 + 3.152. Which is the third biggest value? (a) 2\/9 (b) -13 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t**3\/t*t)*(t*t\/(t\/t**(-8))*t)\/t*(t*t\/(t**(4\/7)\/t))**(-1\/88) assuming t is positive.\nAnswer: t**(-5561\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llelaeleeee. Give prob of picking 1 a, 2 l, and 1 e.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 - 4*i - 4. Let l be c(5). Suppose -k - 3*p - 11 + 42 = 0, -k - 2*p + 32 = 0. What is the highest common divisor of k and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 306, 281, 238, 177, 98?\n\"Answer: -9*i**2 + 2*i + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*o - 2*w, 0*w = -4*o + w + 20. Suppose -56 = 3*s - 11*s. What is the derivative of s*a**3 - 3 + 0 + o wrt a?\nAnswer: 21*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 286453.314s to weeks.\nAnswer: 0.473633125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -341933, -341942, -341973, -342038, -342149, -342318, -342557, -342878?\nAnswer: -343293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 4*d**5\/5 + 23*d**4\/3 + 208*d**3\/9 + 56*d**2\/3 - 64*d\/3 + 884. Let h(j) = 0. What is j?\nAnswer: -4, -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, 2, 104, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 12 = -4*f, 7 = 5*g + 5*f - 8. Let i be (-24)\/(-18) - (-2)\/g. Does 5 divide (13\/i)\/((-7)\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41383307*k**2 - 41789792*k.\nAnswer: -82766614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -0.0577 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3423 + -58220\/17. What is the common denominator of (22 - (-96)\/224) + 30\/(-2) and c?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6*q + 2*a + 68 = 0, 3 = -3*a. Let k = q + -28. Suppose 0 = -m + 2*c + 2, -6 - 4 = -k*m + c. Solve 4 = -x + m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 9. Let l be x(9). Suppose l = r - 9*r + 176. Suppose -2*k - 4*u + r = 0, -3*k + 4*u = 19 - 2. Which is the nearest to k? (a) 4 (b) 2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -845974, -1691949, -2537924, -3383899?\n\"Answer: -845975*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289382?\nAnswer: 2, 257, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*18\/(1 + 2). Let x be -1 - (-2)\/4*6. Let f be 9\/(-6) + 7\/x. Solve f*l = -t, 0*s + 3*l + 9 = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-29200000)\/3*(7 + -2 + 1). Round t to the nearest 1000000.\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -13.190601 and 2845.\nAnswer: 2831.809399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*((q\/(q**(-7)\/q))\/q)\/q*q)\/q*(q*(q**(-2\/29)\/q*q)\/q*q)\/q*q*(((q*q*q\/q**1*q*q)\/q)\/q)**1)**(4\/17) assuming q is positive.\nAnswer: q**(1268\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 divided by -3?\nAnswer: -202\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -253071 divided by -27.\nAnswer: 9373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**6*u*u**(4\/3)*(u**0)**(4\/9))\/((u**(-1))**(-5\/14)\/((u\/u**0)\/(u\/u**(1\/4)))) assuming u is positive.\nAnswer: u**(775\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*(-2)\/15*-6. Suppose i + 4*i**3 - i**s + 0*i**3 - 1 - 3*i**3 + i**5 - 3*i**3 + 2*i**2 = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 1. Let j(t) = t - 4. Let x be j(2). Let v(m) = -4*m + 2. Give x*g(a) + v(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49\/639438 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**3 + 2*u - 4*u - 3*u**2 - 3 + 4*u**2 - 4*u**2. Let k be 33\/(-21) - (-27)\/(-63). Calculate the remainder when d(k) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 387 + 2*x + 385.\nAnswer: 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3993, -7948, -11903, -15858, -19813, -23768?\n\"Answer: -3955*x - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 36*v**2 + 6 + 21.\nAnswer: -36*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/5259 - -436513\/84144. What is the common denominator of 21\/4 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001712 to four decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 20925470, 41850947, 62776428, 83701913, 104627402?\n\"Answer: 2*t**2 + 20925471*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 6*t**2 - 13*t + 20. Let k be u(4). Suppose 0*w + k*w**2 + 1\/5*w**3 + 0 = 0. What is w?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119195141 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 180\/50*(15\/(-2))\/(-3). Let w be (4 - -5)\/((-3)\/(-21)). What is the highest common factor of w and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29197 + 29197 - 349*f)*(-2 - 3 + 3 + (-1 + 1 - 2)*(-3 + 3 - 1) + 5 - 2 - 2 + (0 + 3 - 1)*(0 + 3 - 5) + (4 - 1 - 9)*(4 - 1 - 5)).\nAnswer: -3141*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.3 + 7. Let n = 340 - 339.8. Which is the biggest value? (a) n (b) 9 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 13*c**3 - 121*c**2 + 321*c - 2636. Give g(9).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from rrzzzrwzrwwgzwzrr?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -31 (c) 13 (d) 0.2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u**2 - 971*u + 20418. Calculate q(137).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 4:10 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 11:47 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5792527913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -24. Solve 4*y = 2*l - 6 - 0, 0 = v*y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4104020 (base 7) in base 8?\nAnswer: 1672525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -13) + (-21 - -5) + -7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5573 + 26720*u**3 + 5575 - 11148.\nAnswer: 26720*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 1382722104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*x + 0*x - 5*x - 8*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 6*t**2 + 9*t + 11. Let k be c(-5). Is k less than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1296262110 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3243, 6486, 9729, 12972?\n\"Answer: 3243*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4392)\/20 + (-3)\/(-5))*-1. Let w = -213 + m. Solve -3*g + w = 21 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 22*l**2 + 23*l + 48. Let d be x(-21). Let g be (-1)\/((9\/(-12))\/3). Let p be 5*-12*g\/(-40). Calculate the highest common divisor of d and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(320\/(-24)))\/(3\/(-2))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 791622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide ((-342)\/4)\/9*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3447, 5643, 7843, 10047, 12255, 14467, 16683?\n\"Answer: 2*h**2 + 2190*h + 1255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35722, -142892, -321512, -571582, -893102?\nAnswer: -1286072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9761 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(67*d**4 + 61*d**2 - 61*d**2).\nAnswer: 134*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**4 + d**3 + 2054*d**2 - 24802?\nAnswer: 8*d**3 + 3*d**2 + 4108*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 40*g = -350 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 4*m - 10. Suppose 955 = -7*x + 983. Give d(x).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7a7 - 6535a?\nAnswer: -64773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(7\/2)*w)\/w)\/w)\/(w\/(w*w**(4\/3))))**(10\/3) assuming w is positive.\nAnswer: w**(115\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 84 - 72. Solve 0 = -3*u - y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v*(v**(-10)*v)\/v)\/v)\/(v\/(v*v**(-21))) assuming v is positive.\nAnswer: v**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6204 and 4136?\nAnswer: 12408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -706692*c**2. Let m(w) = -w. Determine z(m(g)).\nAnswer: -706692*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/200462 and 43\/18627.\nAnswer: 4209702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2932 - -2931.7. Let z = 167 - 1166\/7. What is the nearest to v in -2, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2616 - 15828*v - 2616 - 7568*v.\nAnswer: -23396*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 5)*(4 + l - 4) - 1 + 1 - 2*l - 7*l - 2*l + 4*l + 0*l - 4*l + 2*l - l - 5*l + 2*l.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -483*z**2. Let d(a) = 89*a. Determine d(c(k)).\nAnswer: -42987*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -3*h**5\/10 + 17*h**4\/24 + 8*h**2. Let k(n) be the second derivative of -n**4\/2 + n**3 + 249*n. Give 6*i(x) - 17*k(x).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 107712113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -57*p - 222. Suppose 217*m = -199 - 669. Give b(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 10) in base 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 7 - 5)*(0 + i**2 + 0) - 3*i + 3*i + i**2.\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/25 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 16*g - 5. Give l(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95859.\nAnswer: 3, 10651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 23?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/(-144))\/(15\/8).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -2\/7, -4, 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 188086 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 l be ((-4)\/14)\/(-9 - (-248)\/28). Solve -o = -2*o + l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 39\/9 - (-8)\/(-6). Solve -2*g - 1 = p*t, 0 = t - 0*t - 4*g - 23 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5931619 and 0.6.\nAnswer: -5931618.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of x**4\/2 - 2*x**3 + 2*x**2 + 11. Factor v(h).\nAnswer: 2*h*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-240625)\/70)\/55*29\/((-1595)\/88)\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*j - 12, j - 6 = 3*l + l. Let d be 1 + -1*j\/3. Let m = 71923\/15 + -4795. Sort -4, -1, d, m in increasing order.\nAnswer: -4, -1, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -21*n**2 + 36*n + 1. Let c(h) = h - 59. Determine c(d(u)).\nAnswer: -21*u**2 + 36*u - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/31 in 0.2, -0.4, -1\/76, -2, -0.5?\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 - 149 + 77 - 3*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 2\/7, 0.3, -0.15, -5.5, 18\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1355, -2697, -4049, -5417, -6807, -8225?\n\"Answer: -q**3 + q**2 - 1338*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.4100258 + -1.41. What is b rounded to 6 decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5380 + 2 + (-35)\/(-5) - (-12)\/(-3). Round g to the nearest 100.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -1\/4, 5\/281, 0.82?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3 + sqrt(175)*1 - (1 + (sqrt(175) - 2*sqrt(175)))))**2.\nAnswer: 160*sqrt(7) + 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhilhhmuuh. Give prob of picking 1 m and 1 l.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2426, 4, 2, 147, 1\/4 in decreasing order.\nAnswer: 147, 4, 2, 1\/4, 0, -2426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 134*x. Let a(u) = -u**2 - 56423*u. Calculate d(a(y)).\nAnswer: -134*y**2 - 7560682*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1679177*r**4 - r**3 - 329296*r**2?\nAnswer: -40300248*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 9:55 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1001 and 1309?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8195198 and 8041.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 3)*(5*d**3 - 5*d**3 + 6*d**3) + 0*d**3 + 0*d**3 + d**3 + (-2 - 2*d**3 + 2)*(2 - 4 + 3) to the form j*d + s*d**2 + b*d**3 + t and give b.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zd when two letters picked without replacement from {g: 1, n: 1, i: 2, s: 1, d: 1, z: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3041242 = 15*y - 8851177. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhehehehhhhehhheehe.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2\/1177, 9, 5, 1\/4, 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 (base 7) in base 13?\nAnswer: -5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 - 1 + 2*z + 4*z**2 - 3*z. What is the remainder when 27 is divided by n(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1086\/95 - -14456\/95. Which is the third smallest value? (a) -1 (b) 2 (c) -3 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - 3*n + n)*(-2 + 1 - 2)*(-8 + 8 + 10) to the form i*n + h and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 212*f - 98. Let w(s) = -13*s + 2. Let u(z) = 16*w(z) + y(z). Determine u(13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*r + 45*r + 210. What is the greatest common divisor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 6*b + 6. Calculate the lowest common multiple of 11 and b.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8479, 8941, 9413, 9901, 10411, 10949?\nAnswer: 11521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 16*x**2 - 1. Let w(z) = 4*z - 3. Let k(g) = 7*g - 3. Let p(s) = -1. Let j(d) = -k(d) - 2*p(d). Let v(m) = 3*j(m) + 5*w(m). Calculate v(f(b)).\nAnswer: -16*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3512556 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*i - 347*i + 266 = 0 for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in five quarters of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -167559*z**2 + 378*z - 115114282 wrt z?\nAnswer: -335118*z + 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1232 is divided by 138.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - d + 4. Let k be j(5). Suppose t = -0*t - 3*z - 12, -2*z = -2*t + 16. Calculate the remainder when t is divided by k\/(-10) + (-8)\/(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 22*j - 5. Let n(x) = 4*x**2 - 93*x - 21. Determine 6*n(g) - 26*o(g).\nAnswer: -2*g**2 + 14*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 2*l. Let t = 13 + -13. Let j be a(t). Solve 4*d - 20 = j, -3*b + 4*d = 13 + 16 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.71 - -0.11. Let z = c + 0.6. Let d = -16\/3 + 11\/6. Is z > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 times 5\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 5 + 30 = 0. Suppose 0 = l*x - 10, 3*j + 0*x + 4 = 5*x. Find the second derivative of -791*p + 760*p + 17*p**j - p**2 wrt p.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 1\/24*l**4 + 1\/72*l**6 + l**2 + 0*l + 0*l**3 + 0 + 1\/120*l**5. Let j(g) be the second derivative of x(g). Determine j(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/4 + (-1)\/2. Let i(t) = -144 + 36*t - 148 - 145 + 440. What are the prime factors of i(x)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (0 + 0 + 2)) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 8 = -0*y. Let b be 3060\/918 + 15\/(-18). Factor -1\/2*s**5 + 7\/2*s + s**2 - b*s**y - 3*s**3 + 3\/2.\nAnswer: -(s - 1)*(s + 1)**3*(s + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 bigger than -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 463 = -2*p, 2*p = 3*s - 0*s - 1377. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*2\/(-20))\/((-27576)\/172350)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-60)\/28 - -3)*-7. Let z = -7 - w. Put z, -4, 1, 2 in increasing order.\nAnswer: -4, z, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 27, 53, 79, 105, 131?\n\"Answer: 26*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(204)\/(-4*sqrt(12)*-3) + 3).\nAnswer: -3 - sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3f242 (base 16) to base 6\nAnswer: -5313202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 123096287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 3:24 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 80*s**2 + 372*s + 447. Calculate the remainder when m(84) is divided by 217.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**2 - 5*v**2 - 32*v**2 - 2*v.\nAnswer: -32*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-2)*1\/1. Suppose 3*m - 474 + 127 = p, 4*m = 2*p + 460. Suppose n*x - 51 = m. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*n - 3*n**2 - 27*n + 4*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1460 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q**2 + 3*q - 2. Let v(t) = 5*t**2 + 4*t - 3. Let h(j) = 6*k(j) - 5*v(j). Calculate h(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 727 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006815 rounded to 4 dps?\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 + 942\/(-24))*-8. Let o = -139 + f. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16689.89 - -16843. Let b = w - 152. Let q = -0.11 + b. What is the closest to q in 2\/9, 2\/11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 4 = 12*l. Suppose -2*o + 0*o = 8, -l*w + 5*o = -20. Which is the third smallest value? (a) 3 (b) 0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 4*a**2 - 6*a - 8. Let j(r) = 3*r**2 - 8*r - 6. Let t be j(4). Suppose 0 = -3*x - q - t, 0 = 3*q - 7 + 1. Does 16 divide s(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 10. Let n be (4\/52)\/(54\/234). Suppose -31 + 6 = -5*j. Sort -0.07, n, a, j in increasing order.\nAnswer: a, -0.07, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -6*j - 73. Suppose 54*z - 35 = 5*v + 49*z, -v + 2*z - 3 = 0. What is y(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90045 and 153.\nAnswer: 1530765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 2:00 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 - 27*c**3 + 42*c**2.\nAnswer: 3*c**2*(c - 7)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 + 3. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n + 15796 = 26*n. Suppose -z = 3*z - n. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414*f + 384*f = -2460. Let d(t) = -t**3 - 4*t**2 + 9*t + 3. What is the remainder when f is divided by d(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from lqqxqnqllxlllaa?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*h**4 - h**2 + 2*h**3 + 10*h - 8*h + 22*h**4 + 76 + 19 - 37*h**4 to the form k*h + d*h**4 + r*h**2 + u + p*h**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) -1\/4 (b) 4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -246d9 (base 15) in base 5?\nAnswer: -12210204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -8*z - 15. Let r be l(-3). Let s be (-41 - -40)*(-10)\/2. Solve -r = -4*n - s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 12155*o - 2 + 2 - 12156*o + o**2. Give s(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 11*r - 6. Determine m(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1546 - -20?\nAnswer: 1566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -34. Let i be 5*3\/6*r\/1. Find the third derivative of 3*f**5 + 2*f**2 + 7*f**2 - f**i + f**5 wrt f.\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00632228 to 4 decimal places.\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -327478 from 2125.\nAnswer: 329603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3)\/n)**43\/(n**(-13)*n**(1\/3)) assuming n is positive.\nAnswer: n**(-478\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3226*i*j**2*m + 2*i*m - 9*j**2*m**2 + 616*j*m**2 + 19*m**2 wrt j.\nAnswer: -6452*i*m - 18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 61846 (base 10) in base 8?\nAnswer: 170626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24617*j + 12314*j - 2*j**2 - 46*j**3 + 12303*j.\nAnswer: -46*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 632 - 631. Solve -5*x - 24 = h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 9408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -78, -342, -768, -1344, -2058, -2898, -3852, -4908?\n\"Answer: 2*u**3 - 93*u**2 + u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 622380 by 4.\nAnswer: 155595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 7.99982. Round y to five dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 6*j - 46. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -55*d - 74. Let s(g) = 19*g + 24. Let j(o) = 11*s(o) + 4*w(o). Is j(-6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 7 = -q, -4*q - 100 = -4*i. Is (2\/((-8)\/(-58)))\/(i\/80) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 201, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**2 - 3*u**2 + 0*u**2 + 2*u**5 + u**3 - u**3 - 2*u**5 + (-2*u**5 - u**5 + 2*u**5)*(2 - 1 + 4).\nAnswer: -5*u**5 - 5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 9*i**2 + 6. Let j(h) = 3*h + 2. Let a be j(1). Let m(w) = -8*w**2 - w - 5. Let v(c) = a*x(c) + 6*m(c). Let g(q) = q**2. Give g(v(b)).\nAnswer: 9*b**4 + 36*b**3 + 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -191, -412, -713, -1088, -1531, -2036?\nAnswer: -2597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 6*u**2 + 7*u - 4. Let z(x) = -x**2 - 19*x + 48. Let p be z(-22). Suppose 8 = 3*r + 5*l, -5*l = -r - 3 + 39. Let n = r + p. Give q(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30.42 + 36.42. Which is the nearest to -2\/5? (a) 5 (b) -62 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 15. Suppose -4*g + 184 = -2*y, -y + 235 = 5*g - x*y. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4970.4 + -4970. What is the third biggest value in -3, 933, w, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42.65 - 37.65. What is the third biggest value in r, -1, 2.4, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*r = -r + 23, -3*m + 4*r = -26. Let o = 475 + -475. Factor -4\/5*l + 2\/5*l**m + o.\nAnswer: 2*l*(l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - 1 + 2*w**2 + 5*w**2 - 6*w**2)*(-1543*w + 69661 - 69661 - 3059*w) in the form b + g*w**2 + i*w + o*w**3 and give o.\nAnswer: -4602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v - 3 = 0. What is the third derivative of 0*c**2 - 5*c**2 + 2*c**4 - 4*c**2 + v*c**2 wrt c?\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 11, v: 4, h: 1, d: 1}. What is prob of sequence vhs?\nAnswer: 11\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -180451.532 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 116 = 3*x - x, 3*x - 112 = -2*p. Let f = p - 20. Calculate the remainder when f is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22797 - -42016. Is h a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1*(-68)\/4*4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*s + 248481 = -333514. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-12))\/(9\/8)*240\/40?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.60048 to three dps.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**5 - 580*v**4 - 1758*v**3 = 0. What is v?\nAnswer: -3, 0, 293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/8 of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 7:19 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*a + 0*a**3 + 0*a**2 + 1\/2*a**4 + 0 = 0. What is a?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 + 68 = 4*r + 5*x, -25 = -2*r - 3*x for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 72.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ca32c3 (base 14) to base 12.\nAnswer: -2362363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*d + 38*d = -4*l - 50, -3*d + 8*d = 15 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51\/3 - 2\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -365148 by -1863.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*c = -650. Let w = -453 - -463. Calculate the greatest common divisor of w and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 213 - 212.8306. What is h rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 3*o + o)*(24*o**2 - 107 + 107)*(0 - 6*o**2 + 0).\nAnswer: -288*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/103522082 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*q = -3279, 2906 + 1184 = 5*p + 2*q. Suppose -5*o + f = -2*o - p, f + 270 = o. Calculate the remainder when o is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -41*q**3 + 9*q**2 + 17*q - 61. What is m(2)?\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/2 - 8*w**2 + 17*w\/2.\nAnswer: -w*(w - 1)*(w + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 710.38 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**2 + 5. Suppose 4*g - 20 = 0, -7*q - 4*g + 55 = -2*q. Let z(w) = w - 2. Let m be z(q). Let k(o) = -o**2 + 2. Determine m*k(a) - 2*r(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**5\/4 + 33*i**4\/8 + 189*i**3\/8 + 431*i**2\/8 + 237*i\/8 - 63\/2 = 0.\nAnswer: -7, -4, -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, l: 4}. What is prob of sequence llly?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1481378.4 seconds to minutes.\nAnswer: 24689.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1657*w - 107681. Calculate g(65).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3*19.3\nAnswer: 57.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 132 + 10. Suppose s = -3*a + 65 + 87, 0 = 3*a - s - y. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 243388666029\/4382 - 55542826. Let z = r - -1\/626. Factor -16\/7*n + z*n**2 - 20\/7.\nAnswer: 4*(n - 5)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -301443312?\nAnswer: 301443302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 0*z - 6*z + 3*z + 2*z. Let f(h) = 4*h**2 - 16*h. Let r(b) = b**2 - b. Let m(u) = -f(u) + 16*r(u). What is l(m(i))?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2)*(-2*p + 7 + 0*p - 17)*(1 + 0 + 1)*(-12 - 10 + 18) to j*p + c and give c.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*p - 9*p - 43*p - 2*p - 3*p + 6*p + (5 - 3 - 4)*(-1 + 1 - 2*p) - 83 - 17*p + 83)*(1 - 1 + 4).\nAnswer: -220*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*r - 1, -h + r + 11 = 5*r. Let s be 6\/(-9)*(h - (1 + -3)). Put -3, -4, 1, s in decreasing order.\nAnswer: s, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g + 23*g - 3040 = 0. Calculate the highest common divisor of g and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + b5d?\nAnswer: b59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, v: 2, b: 4, y: 2}. Give prob of sequence yyz.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 10*r + 1. Let p be x(10). Suppose 3*z - 5 = p. Suppose 32 = -0*j + z*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 10*p - 41. Let h be z(-13). What is the lowest common multiple of 4\/22 - ((-155)\/55 + h) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + 6*g**4 - 5*g**4 + 0*g + g to p*g**4 + j*g**3 + u*g**2 + m*g + f and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hg when two letters picked without replacement from {g: 2, h: 8}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - s**2 + 6*s**2)*(2875 + 3086 - 5030).\nAnswer: 3724*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -19*n. Let m(u) = 5*u**2 - 49. Give m(i(h)).\nAnswer: 1805*h**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8687, -19, -0.3, 0.2 in decreasing order.\nAnswer: 0.2, -0.3, -19, -8687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 131 = 4*d, -3*u + 62 = -2*d - u. Let f = 59 + d. Let m = f + -19. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3445137223?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 9*s**3 + 7*s**2 - 1. Let b(n) = -19*n**3 - 15*n**2 + 1. Determine -4*b(q) - 9*x(q).\nAnswer: -5*q**3 - 3*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/418171 and 46\/5260151.\nAnswer: 99942869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 311145062 and 148?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5240, -9239, -13250, -17279, -21332, -25415?\nAnswer: -29534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2752 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/(33\/(-27)) + 201. Let l = 56 + -40. What is the greatest common factor of v and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-54)\/(2 - 4) + -3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 735?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + -33 + 2 + (5 - 13) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 10:22 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2239*u - 1517. What is x(-2)?\nAnswer: 2961","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2446*o - 28 + 36 - 8 + 0 as f*o + x and give f.\nAnswer: -2446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from bjcbc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 1:39 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/((-7)\/(-14))*(-11)\/((-2310)\/(-224))?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 54 + 71. Let r(o) = -3*o + 19. Let z be r(-3). Let p = z - u. What is the remainder when 101 is divided by p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 18. Calculate the greatest common divisor of 18 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 43*x - 160. Give k(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((24\/(-198))\/((-2)\/18))\/(4\/22). Let a(q) = 7*q**3 + 5*q + 4. Let k(t) = 6*t**3 + 4*t + 4. Determine y*k(v) - 5*a(v).\nAnswer: v**3 - v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6474701 minus -177.5?\nAnswer: 176.8525299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 18\/7 of a week?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 3. Let g = 0.62 - 0.12. What is the third biggest value in n, -4, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**2 + 4. Let k be f(2). Let x be (k - -10)\/(2\/(-15)). Suppose -5*b + 0*w + 4*w + 348 = 0, -5*w = -x. Is 24 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3))**47\/(x**(-5\/4)\/(x\/x**(3\/4))))**(-1\/14) assuming x is positive.\nAnswer: x**(279\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*k + 61. List the prime factors of k.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 11. Solve -g*q = -20 + 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a hour in minutes?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/263845 and 101\/2005222?\nAnswer: 10026110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 4598007.1535132.\nAnswer: 4598007.6535132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 13 = -23. Suppose 8 = -u - 4*r, 2*u - 13 = -t*u - r. Sort -8, 0, u in descending order.\nAnswer: u, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 23*k = -25*k + 10644484, -4*h = 2*k + 8515616. What is h rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/45 - ((-8)\/12 + -2). Which is the third smallest value? (a) -32 (b) r (c) -14\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7*(-9)\/84)\/((-2)\/(-56))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-92)\/80 - (-1)\/(-4). Let q = 52 - 46. Suppose -3*u = 2*u - q*u. Is u at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -0.43916\nAnswer: -0.0087832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -572*x**2 - 2290*x - 2292. Let y(l) = l**3 + 1147*l**2 + 4581*l + 4582. Let i(z) = -5*m(z) - 2*y(z). Suppose i(n) = 0. What is n?\nAnswer: -2, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-18) + 4130\/90. Suppose 4*t = -16, -7*f + 5*f + 2*t = r. Let y = 90 + f. What is the highest common divisor of 21 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6974, -6985, -6996, -7007?\n\"Answer: -11*s - 6963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t + t + 1 + 2*t - 4. Let r be b(-4). Let n = r - -12. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 7*v - 504. Let y be 1\/3 - 4\/v. Which is the nearest to 1? (a) y (b) 0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15934 - 18794 = 44*v for v.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/39? (a) -1 (b) -0.06 (c) 0 (d) -5\/6 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4507.\nAnswer: 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 453102 - 235231. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11492*n - 3*k = 11496*n + 12, 5*n + 2*k = -15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(448) + -1*sqrt(448) + sqrt(448) + 0 + -5 + (-1 + sqrt(448) + sqrt(448) + 0 + sqrt(448) + sqrt(448))*1)**2 + 2.\nAnswer: -800*sqrt(7) + 11302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 1037*s**8\/56 + 257*s**4\/3 + 851*s. What is the third derivative of f(p) wrt p?\nAnswer: 124440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + 8*b**3 + 47812*b - 47959*b - b**3 to the form h*b + i*b**3 + o + x*b**2 and give h.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1026 (base 7) to base 16\nAnswer: -16b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-696)\/56 + 3)\/((-2)\/14). Let v(q) = g - 66 - 30*q. Let z(u) = -2*u**2. What is v(z(i))?\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(2*sqrt(88) - sqrt(88) - sqrt(88)) + sqrt(88))\/sqrt(4))\/((sqrt(256) + 1*sqrt(256))\/sqrt(2)).\nAnswer: sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 1:46 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**3 - r**2 + r. Let s(c) = -c**3 + c**2 + c. Suppose -79*x + 62 = -110*x. Give x*s(p) - 2*z(p).\nAnswer: 8*p**3 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 624 and 14607120?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1001179, 2002273, 3003367, 4004461, 5005555?\nAnswer: 6006649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*c**3 + 212*c**3 + 421*c**3.\nAnswer: 405*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 9:00 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-2))\/((-2)\/(-14)). Suppose 13 = 5*h - z. Suppose 8*m + h*q - 128 = 3*m, -2*m + 4*q + 68 = 0. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**5\/4 - 7*q**4\/6 - 4*q**3\/3 - 53*q**2\/2 + 167*q. List the prime factors of b(-7).\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-96))\/(65 + (-14575)\/212).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65673 or -65711?\nAnswer: -65673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 583\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0573 * -962\nAnswer: 55.1226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*1*(sqrt(85) + (sqrt(85)*-2 - sqrt(85)) + sqrt(85))*4)\/((sqrt(405) - (sqrt(405) - ((sqrt(405)*-2 + sqrt(405) - sqrt(405)) + sqrt(405))))*-3*1))**2.\nAnswer: 1088\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**30)**(-6\/19)*((c*c**(-1\/2)\/c)\/c*c)\/c**(2\/123) assuming c is positive.\nAnswer: c**(-46693\/4674)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -16*a + 43. Let u(h) = h. Determine u(o(z)).\nAnswer: -16*z + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22241 (base 7) to base 13.\nAnswer: -272c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(50) + 1)**2 + 4 - -2*-3*(sqrt(2) - (sqrt(2) + (sqrt(4)\/sqrt(2))**2))))*-6*3.\nAnswer: -1242 - 180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 4.47\nAnswer: -0.447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -24*c - 390. Give u(-19).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -5*m - 3*u - 4, -m = -u - 4. Solve -5*d + 8 - m = 4*j, 0 = 2*d - 4*j + 14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgg when three letters picked without replacement from {p: 2, g: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 f when two letters picked without replacement from {c: 3, f: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -19 - 184*q - 194*q + 6. Is s(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4\/13))**(1\/5))**(1\/5) assuming z is positive.\nAnswer: z**(-4\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1\/7 (b) -5059 (c) 6 (d) -1\/9 (e) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from zrzrzzzbmzzbzbb.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 557 - 557.006352. What is z rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0307375 to four decimal places.\nAnswer: -0.0307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 14. Suppose s = 3*c, y + y - 3*c = -10. What are the prime factors of y\/2 + (-54)\/(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (119 - 120) + (-1 - 0 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crrrcicdcdrrrcd. Give prob of picking 2 c.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16, -53, -114, -199, -308, -441, -598?\n\"Answer: -12*m**2 - m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 10295*n + 1557. What is the tens digit of f(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -47, -1, 6, 20, 9 in decreasing order.\nAnswer: 20, 9, 6, -1, -2, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -1\/9 (c) 0 (d) 18 (e) -1837 (f) -1\/4 (g) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59.074 - 58.744. Let k be 2*(30\/4)\/3. Which is the biggest value? (a) k (b) 4 (c) i (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1635960979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eeneeeeeneneeeeeenn?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(187)*1 - sqrt(187)) + sqrt(187))\/sqrt(11) - (6*(sqrt(17) + -1) + 2)) + -5.\nAnswer: -3*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/83042 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 92 or 83428\/907?\nAnswer: 83428\/907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (-3 - 1 - (-197 + 5)). Is a at most 187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19245\/4 + 4786. Let g(q) = 15*q**2 + 5*q - 1. Let b be g(-4). Calculate the common denominator of (-1)\/2 + b\/42 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 55680061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n. Let r = 6 - 3. Let k(o) = 16 - 16 + r*o**2. Calculate k(v(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*j = -3*g + 73, -4*g = 5*j - 113. Calculate the greatest common factor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + (12\/(-3) - -2). Solve -2*k + 3*w + y = 0, -4*k + 4*w + 3 = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -632, -640, -650, -662?\n\"Answer: -v**2 - 5*v - 626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13054810, 26109611, 39164412, 52219213?\n\"Answer: 13054801*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v**2 - 7*v**2 - 4*v**2)*(517 - 517 + 41*v) + (-v + 0*v + 3*v)*(2*v**2 + 1 - 1) to the form l*v**3 + r + q*v + k*v**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/91 greater than -22\/181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmt when three letters picked without replacement from {m: 2, t: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1150549060 to the nearest integer?\nAnswer: 33920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 6:18 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 - 16706*l - 150195612\/5.\nAnswer: -2*(l + 1883)*(l + 39882)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*z - 24*z - 40*z**3.\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4375 is divided by 4354.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 717 (base 16) in base 12?\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9633.674l in millilitres?\nAnswer: 9633674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -1007\/310?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2314\/55 - 432\/11. Suppose -3*i + z - 12 = -2, -24 = 4*i - 4*z. Which is the closest to 1? (a) i (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*j = 91, -2*m + j + 87 = -3*m. Let t = 114 + m. What are the prime factors of t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 170 - -213. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 5:49 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 414 - 431. Let g(p) = p**2 + 17*p + 39. Let m be g(w). Calculate the greatest common divisor of 234 and m.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0 = 1. Suppose 16 + 9 = 5*p. Sort p, 0, k.\nAnswer: k, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 88281.93 kilometers?\nAnswer: 8828193000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3278, 6670, 10062, 13454, 16846?\nAnswer: 20238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 16*l - 1. Let a be p(-11). What is the remainder when a\/(-12) + (-3)\/4 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + k = -15. Suppose -4*p + k*p = -4. Suppose p*w = 9*w - 25. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.935 + 0.065. Let v = 10 - 7. Sort 1\/3, z, v.\nAnswer: 1\/3, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2067100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -237\/20 - -58\/5. Which is the third smallest value? (a) 0.01 (b) -2\/19 (c) i (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (529*d + 489*d - 1731*d)*(-3 + 6 - 1).\nAnswer: -1426*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = c - 5, 3*c + 27 = 17*x - 15*x. Calculate the smallest common multiple of x and 4125.\nAnswer: 4125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 2\/(2\/117). Let n = -4848 + 43582\/9. Find the common denominator of n and 56\/w*3\/(-2).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 + 0.3. Let q = 31 - 34.02. Let o = -0.02 - q. Which is the biggest value? (a) m (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2123.999996841 + -2124. Round v to 7 dps.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -12*g**2 - 146*g + 78. Calculate h(-12).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -14472*v. Let a(h) = -4*h**2. Give x(a(m)).\nAnswer: 57888*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000079192 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 133\/5 - 531\/20. Let t = -4022 - -40187\/10. What is the common denominator of n and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -28, 1, 2.\nAnswer: -28, -5, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 480*z**3 - 408*z**2 - 12*z - 12. Let t(s) = -s**3 + s + 1. Let l(a) = -12*t(a) - y(a). What is the third derivative of l(d) wrt d?\nAnswer: -2808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 10:37 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 1728 = -21*d. Let f = d + 227. Suppose 15*z = 16*z - f. Does 50 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/11 and -45\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (394 - (0 - 3))*-1. Let q = -277 - j. Suppose s + 4*s - q = 0. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -49.5 and -11157.1?\nAnswer: 11107.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 116 - 235?\nAnswer: -11d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6380\/1595)\/(8\/62).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 8, 2*i + 5 + 7 = 5*v. Let q(l) = -l + 7. What is q(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, m: 13}. Give prob of picking 4 m.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -19. Calculate the remainder when (-112)\/v - 6\/9 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23045 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000111010 (base 2) in base 8?\nAnswer: -1072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 32 = 4*a, -s = -0*a - 4*a - 4. Suppose -88 = -5*c - x, 0*c - 4*x = -4*c + 80. What is the smallest common multiple of s and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -175 - -255. List the prime factors of 1 + 2\/10 + 12944\/a.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**4\/3 + 103*u**3\/3 - 975*u**2 - 1521*u + 276822 = 0. Calculate u.\nAnswer: -14, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 - 4*p**4 + 0*p**4 + 3*p**4 + (3*p**3 + p**3 - 5*p**3)*(-p - 2 + 2) - 3*p**4 + 3*p**4 - 3*p**4.\nAnswer: -3*p**4 + 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2859105 is divided by 303.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 251\/69*-3 - (-166)\/(-1909).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 35*v - 6. Let l be h(5). Suppose 5*q - l = 46. Let r(d) = -3*d**3 - 34*d**2 - 40*d + 9. Calculate the remainder when q is divided by r(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -703 - 257 - 2286*h - 2*h**2 - 2266*h + 4552*h.\nAnswer: -2*h**2 - 960","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.95 - -917.45. What is z rounded to the nearest 10?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -11281, -1 in descending order.\nAnswer: -1, -4, -11281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257998, -258041, -258084, -258127, -258170, -258213?\nAnswer: -258256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6060 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 6328 + 19478 = 4*c, -3*c = -2*h - 19351. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 30449\/(-3))*-3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/9 and 77\/63612170.\nAnswer: 572509530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.248*0.007\nAnswer: -0.001736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -342*m - 1243 - 326 - 1851 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000244448 rounded to 7 dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -262585\/1375806 + -75\/2143. Find the common denominator of -51\/749 and m.\nAnswer: 4494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - 50. Let u = -13.992 - m. What is u rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*w - 116*w**5 - w**3 + 217*w**4 + 6*w + 0*w**2 - 2*w**2 - 106*w**4 - 114*w**4 + 99 wrt w.\nAnswer: -6960*w**2 - 72*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66110460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57560 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-10)*43\/(10191\/3160).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27729517?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 12 = 2*r. Let m be 50\/154 + r\/22. Let v = 4.9 - 5. What is the closest to 1\/4 in m, v, 2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from phfpp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - y + 2 = 0, -r - 5*y = 12. Let g = 0.09353 + 0.00647. Which is the fourth smallest value? (a) r (b) 4 (c) g (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36905*l + 36906*l = 73874*l - 7497 for l.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 190 + 3?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**4 - 947*m**3 + 8944*m wrt m.\nAnswer: 24*m**2 - 5682*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 - 7*y**3 + y**3 - 6*y**3 + 16*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7*w - 29. Let v be s(5). Suppose -5*n + 45 = -5*c, 3*c + 2 = -8*n + v*n. Put 1, c, -8 in increasing order.\nAnswer: -8, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -448663, -897305, -1345947, -1794589, -2243231?\nAnswer: -2691873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 89953607?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z + 2 + 2 - 14*z. Let b(n) = -29*n + 11. Let v(t) = -262*t + 99. Let w(r) = -57*b(r) + 6*v(r). What is 33*p(l) + 4*w(l)?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1704 - 3*w + 2*w + w + 3566 - 1863 - 8*w**2.\nAnswer: -8*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**3 - 11354*j**2 + 11354*j**2.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i + 1 + 8 = -14*i + 3*b - 5, 0 = 15*b - 60 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2 = -0*h. Suppose -37 = -3*b + 2*p + h*p, -5*b + 5*p + 70 = 0. List the prime factors of b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -17699 and 23360 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3782, 7508, 11154, 14720?\nAnswer: 18206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 0*l - 3\/140*l**6 + 0*l**3 - l**2 + 1\/21*l**4 + 0 + 0*l**5. Factor b(r).\nAnswer: -2*r*(3*r - 2)*(3*r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2 + 6*q - 10. Let a(t) = 2*t**2 + 2*t. Determine -5*a(i) + w(i).\nAnswer: -7*i**2 - 4*i - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/5495 and 163\/4710.\nAnswer: 32970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + -30 + (-23)\/4 + 21\/(-12).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -214 + 515. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25345434 (base 7) in base 16?\nAnswer: -230dcc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/48 and -223\/26040000?\nAnswer: 26040000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**13*j*j\/((j\/(j*j**(-5)))\/j)*(j**(-1\/3)\/j)\/j*j**(-15))**18 assuming j is positive.\nAnswer: j**(-114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 0 + f - 2 + 2. Let b(s) = s + 2. Let l be b(-2). Let m(c) = l*c + 0*c + c. Give n(m(r)).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 3619731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - 3) + -2 + -8 + (23 - 10)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1490*y**3 + 28*y**2 + 386221*y?\nAnswer: 8940*y + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -192*k + 4800. Calculate u(25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.281 + -0.081. Let m be (30\/4)\/(-3)*3208\/12030. Let i = 0.7 - -0.3. Which is the nearest to i? (a) z (b) -4\/13 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - 2, -7839*j + 20 = -7835*j + 4*z for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 10*w + 116. Does 8 divide u(26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d - 3*d - 3*s - 1127, 3*s = d - 293. Let t = 5836\/21 - d. What is the biggest value in t, -0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7818*p**3 + 27710*p**2 wrt p?\nAnswer: 46908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11418 - 308326\/27. Let i be (-722)\/(-5) - (-54)\/(-135). What is the common denominator of q and (-4*(-3)\/i)\/(25\/(-590))?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 1\/8, -0.93, -2.5, 1\/10, -3\/2, 4\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1016*v + 10875 + 14525 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -723 + 726.99. Let u = 0.01 + d. Let w = u - 6. What is the smallest value in w, -2\/15, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**4\/3 + 8*z**3\/3 - 8*z**2 + 16*z. Solve i(k) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 417, 423, 441, 477, 537, 627, 753?\nAnswer: 921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*a**2*j + 71*j wrt a?\nAnswer: 30*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 920881*x.\nAnswer: -x*(x + 920881)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411065?\nAnswer: 5, 19, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1662 + 1663.8. Sort -1\/2, 3, 2\/9, c.\nAnswer: -1\/2, 2\/9, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*q - 458 = 0, 451 + 126 = 5*r - 4*q. What is the highest common divisor of 26 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 3*a, 2*a + 4 + 3 = -5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -568*t + 1384 = -24744 for t.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2642707*u**3 + 5285398*u**3 - 2642699*u**3.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -59*g - 465. Let q be a(-8). Sort q, 1, 42 in ascending order.\nAnswer: 1, q, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3032215450?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a decade in years?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23367 and -0.5?\nAnswer: -11683.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 9:39 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*b = 2*a - 10, -b = 5*a + 9. Suppose 143 = 2*q - 113. Let o be (q\/(-6))\/a*30. Round o to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21424 is divided by 2356?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0077946 to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38377*k + 4992 = -38185*k for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 a factor of 79527905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 157605534 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 10:41 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (34*(-142)\/(-66385))\/((-3)\/(-75)*2)\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -5. Suppose -4*q + 84 = p, -52 = -3*q + x*p - p. Let h = q - 8. What is the lowest common multiple of h and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 4*m**2 - 4*m - 6. Let c be o(-9). What is the tens digit of c\/(-12) + 1\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/109139 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 1569084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 1196*z - 16760. Give f(14).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41499, 41522, 41369, 41046, 40559?\nAnswer: 39914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 3:23 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g**2 + 4*g + 2. Let t be s(-2). Let z(i) = i**3 + 7*i**2 - 8*i. Let l be z(-7). Calculate the greatest common factor of t and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62a (base 14) to base 5\nAnswer: 14324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64477.\nAnswer: 7, 61, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12648174 divided by 6.\nAnswer: -2108029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -5. Let n(m) = m**2 - t*m**2 + 3*m**2 + m**2. Let k(l) = 5*l**2. Determine n(k(i)).\nAnswer: 50*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 9721905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**3 - 4*f**2 + 4*f + 3. Let u be k(3). Let c = u - 94. What is c rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/16)\/(35\/(-1960)*7). Solve 0 = 2*k - s*z - 66 + 47, 0 = -2*k - 4*z - 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 0 - -4 - (-3 + 17)\/(-1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126050000 rounded to the nearest one million?\nAnswer: 126000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*m + 583 = 0, -u - 5*m + 227 = -61. What is the remainder when u is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c + 3 + 0*c - 3 to o*c + i and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/(72\/27)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*b**2 + 6*b**2 - 100*b**2 + 14*b**2 - 77*b**2 - 7*b**3 + 4*b**2.\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 113247 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - d + 2 = -6, 4*g + 4*d - 8 = 0. Put -2, 3, g, 12 in ascending order.\nAnswer: -2, g, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 20841081.\nAnswer: 20841086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3. Let o(b) = -3*b**3 - 3*b**2 - 12*b - 2. Let j(h) = o(h) - 2*w(h). Let d be j(-5). What is the highest common factor of 27 and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - x = 3, -4*x = 3*t - 16 - 2. Which is the nearest to t? (a) 0.4 (b) -0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 475502468 to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + i**2 + 7. Let m be j(0). Suppose l - m*l = -834. Calculate the remainder when l is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 888*a - 5. Let o(f) = 7*f + 1. What is l(g) + 6*o(g)?\nAnswer: 930*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 805 divided by -7.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*n + 72*n - 44935. What is the greatest common factor of 129 and n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21190381 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-206)\/60)\/(((-8)\/(-10))\/2) and 3\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17894)\/(-374) + (-18)\/153. Is x not equal to 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-50)\/(-14) - 6\/(-14). Suppose j = 5*i - y - 19, -10 = -5*j. Calculate the lowest common multiple of i and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -25 + 115 + 1*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 - 11. Is z a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 l, and 1 r when three letters picked without replacement from {l: 4, r: 2, z: 4, j: 4, d: 1, k: 4}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 2*y. Let r(d) be the first derivative of d**4\/4 - d**2\/2 + d + 1. Let b be (0 - 1) + 14\/(-2). Let v = b - -10. Determine v*r(t) + m(t).\nAnswer: t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 780 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 950 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9143 - 9142.9. Let c = -0.45 + 0.9. Is g greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 515 - 495 = 10*f. Let x(i) = -5*i + f*i - 10*i**2 + 2*i**2 + 3 - i**3. Calculate x(-8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 124 - 57. Calculate the lowest common multiple of 2 and n.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 41\/1962, -0.17, -7, 2\/13?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -4 (b) 3 (c) 18 (d) 36\/83\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 33 + 0\/(4 + -1). Let t be (-1)\/(460\/(-90) - -5). Calculate the highest common divisor of t and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35024 a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 12*j**2 - 7*j**4 - 11*j**4 - 2*j**3 - 9*j**4 + 38*j**4 - 8*j**4 as c + a*j + i*j**4 + y*j**2 + p*j**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -5. Let l(g) = 11*g**2 - g**3 + 2*g**3 + 5 - 10*g**x + g. What is l(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 2. Let v = 6.439 + -6.4. Let y = v + -2.039. What is the third biggest value in j, y, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -36. Let p = 61 + l. What is the greatest common factor of 120 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 - 36. Is (-1)\/5 - (-1173)\/d a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19855 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = t - 211, 2*t = -5*k + 7*t - 245. Let b = -15 - k. What are the prime factors of b?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3\/(-9) + (-10)\/66.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 129 = 6. Let v be (2 - 1) + -1 - m. Suppose 5*j - 260 - v = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -70, -3, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*k + 71*k = s + 55, -2*s + 70 = -4*k for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/35 - -1) + (-76)\/308.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide (-11)\/22*16 + 6024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62805, 62358, 61905, 61446, 60981, 60510, 60033?\nAnswer: 59550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3818015.\nAnswer: 5, 409, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(152) + sqrt(152) + sqrt(152)*-1 + sqrt(152)) - sqrt(152)*2*-2)\/((sqrt(24)*-1)\/sqrt(3) + sqrt(32)*4) + 2)*2.\nAnswer: 4 + 32*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/((-60)\/(-432)*6).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**5\/30 + 7*x**4\/24 - 5*x**3\/6 + 13*x**2\/12 - 2*x\/3 + 234. Factor n(h).\nAnswer: -(h - 4)*(h - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**7\/840 - z**5\/60 - 5*z**4\/12 - 5*z. Let f(p) be the third derivative of n(p). What is the first derivative of f(q) wrt q?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55013.\nAnswer: 7, 29, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -24*n - 111 - 175 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 5*m**2 - 4*m + 1. Let r be q(-2). Suppose 5*j = 2*t - 14, 0*t - t = j. Sort j, -4, r in increasing order.\nAnswer: -4, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*p - 1. What is the tens digit of (12 + -11)\/(p\/(-32))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j - 8. Let o be ((-4)\/(-6)*-6)\/(-2). Suppose -o*n = -4*n - 14. Let p be k(n). What is the greatest common divisor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-4)*g)\/g)**(-21)*(((g\/(g*(g*g**(-13\/5)*g)\/g))\/g)\/g*g)**37)**(1\/3) assuming g is positive.\nAnswer: g**(177\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1528 + -160. Suppose -8*x + p = 4*x. List the prime factors of x.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -834090 (base 14) in base 8?\nAnswer: -20712216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -23*t**2. Suppose 4646*w - 5 = 4633*w - 5. Let u(s) be the second derivative of 1\/3*s**3 + 0 - 41*s + w*s**2. Calculate u(h(x)).\nAnswer: -46*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262041 is divided by 23757?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 999 and 0.2.\nAnswer: 999.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -3\/8 (c) 1\/4702\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t + 31. Let p be n(2). Is 47 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10717.\nAnswer: 7, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 8*h - 29 = 3*h, 2*x - 13 = -h. Sort -3, x, 3.\nAnswer: -3, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 120430213?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-5)\/(-24)*8\/(-80).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a second in milliseconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 1:54 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -36. Let l be o + 3 - -7 - 4. Suppose -l*g + i + 15 = 0, 4*g - 4*i + 0*i = 24. Solve -g = -2*d + t, 2*t + 0 = -d - 11 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-7\/9)\/i*i)\/(i**44\/i))**21 assuming i is positive.\nAnswer: i**(-2758\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - g = 0, 5*i - 2*g + 74 = 75 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -58640946 divided by 1911\nAnswer: -30686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101 - 158. Let u = -85 - p. Is (-2)\/7 - 988\/u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.04 (b) -32 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxieuww. What is prob of sequence eixw?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2312003311 (base 4) to base 2\nAnswer: 10110110000011110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 7*f + 7. Let i(b) = -3*b - 3. Let y(w) = 2*c(w) + 5*i(w). Let t(d) = -8*d - 1. Let a(g) = -t(g) + 4*y(g). Give a(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 22*x**3 - 5. Let z(i) = -21*i**3 + 6. Let n be (100\/(-90))\/(2\/(-9)). Calculate n*z(v) + 6*t(v).\nAnswer: 27*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 369009 - 210449. Let a = -130665 - -369225. Let f = a - b. What is f rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 861.1, 1, 3\/5, 0.1 in ascending order.\nAnswer: -8, 0.1, 3\/5, 1, 861.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 7, 3, -1, -0.5 in decreasing order.\nAnswer: 7, 3, 1\/4, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-5709)\/143 + (-6900)\/299 + 24\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13907, 13948, 14041, 14216, 14503?\nAnswer: 14932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3859117432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 151?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 229.66 - 229.6600019315. What is t rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -633 and -48699.\nAnswer: 30826467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 7*k - 63. Suppose k = -4*f + 3*f + 20. Calculate the remainder when 75 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357*c + 360*c = -5*s + 11, 23 = 5*s + 9*c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**4\/12 - 33*a. Let c(m) = -16*m. Determine k(c(h)).\nAnswer: 256*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - 27 - (-17 - 0) - 12.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -23*s - 12. Let u(h) = 22*h + 10. Calculate 4*g(r) + 5*u(r).\nAnswer: 18*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*s**3 - 153*s**3 + 74*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/4 + 6*l - 63\/4.\nAnswer: -(l - 21)*(l - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -1\/3, 0.5, -2, -0.5, 725?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -204092370 - -36037808. Let x = u + 168054424.000087. Let v = x - -138. Round v to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 9 + 7 + 70*w - 3276*w to u*w + f and give u.\nAnswer: -3206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5091 + -5134 + -1 + -13 + (3 - 1)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**4\/4 - p**3 + 4*p**2. Let o be h(2). Solve o*k = 2*k + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 7*j**3. Let l(a) = 3*a - 2. Let t be l(10). Suppose f + 5*c - t = 0, -2*c = -5*f - 4 + 9. Let d(g) = g**3 + 3*g**f - 6*g**3. Give 22*d(w) + 6*v(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -978 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.4, -55.7, -2, 3 in increasing order.\nAnswer: -55.7, -2, -0.4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 168\/15 - (-2)\/10. Let p(k) = k**3 + 21*k**2 + 15*k - 89. Let s be p(-20). Let l = s - i. Which is the smallest value? (a) -1\/7 (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -449 + 169. Round j to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2. Let v(f) = -1440*f**2. What is v(h(n))?\nAnswer: -5760*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 11537108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 274006382 to the power of 1\/2, to the nearest integer?\nAnswer: 16553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -2) + -2 - (-12 + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 + 697 = -154*j - 4864 for j.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001100101110 - 11?\nAnswer: -1001001100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -106*z**3 + 5*z**2 + 2*z - 1. Is l(-3) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -1469*t. Let x(l) = -61091*l. What is x(y(c))?\nAnswer: 89742679*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seventeen halves of a millennium?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3465 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: Let w be -7 + (19728\/(-705))\/(-4). Are w and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3583934351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267156543.\nAnswer: 3, 31, 59, 181, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 3, -552 in descending order.\nAnswer: 4, 3, 1, -552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-130026)\/(-2886) - 45)\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34705 > 34710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/160 and -1\/10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 5*n**2 + 90*n + 241. Give z(-11).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 31*o + 2585 = -29*o, 6*a - 5164 = 2*o. Calculate the highest common factor of 21 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u - 11 - 820*u**2 + 13 + 7 + 799*u**2 as c*u + r*u**2 + b and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1178751 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 4 (b) 46 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-25)\/(-18) + 2\/(-9) and -101\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125364 - 2061 - 48787 + l**2 + 174831.\nAnswer: l**2 + 249347","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13503, -27093, -40777, -54561, -68451?\n\"Answer: -o**3 - 41*o**2 - 13460*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -142 divided by 6\nAnswer: -71\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/3196 and 63\/188.\nAnswer: 3196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(21\/18)*7. Let u = l + 9. Which is the third smallest value? (a) 3\/4 (b) u (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104\/156 + 14\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 63.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/60227 in 1, 0.2, -0.3, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*r + 15 = 0, 22*r = 3*p + 21*r + 10. Sort 6, -2, 3, p in decreasing order.\nAnswer: 6, 3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**2 + 165*w = 0. What is w?\nAnswer: 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 3:25 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = y - 18. Let i = y - -3. Is 29 a factor of 1\/i - (-5)\/(45\/1047)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 7:40 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2333 - 0.506.\nAnswer: -0.2727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = c. Solve 12 = -3*y + c*s, -y + 20 = -6*y - 4*s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 27*d**2 + 1. Let q be c(-1). Suppose -9*l = 9 - 9. Suppose 2*g - 5*p + 0*p - 14 = l, 3*p = g - 7. What is the highest common divisor of g and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ab754 (base 15) in base 7?\nAnswer: -4430002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccicccccccccccccc. What is prob of picking 2 c?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14b9 (base 14) to base 9.\nAnswer: -5051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - p + p)*(4 - 2 + 0) - 8*p + 7*p + 11*p - 6*p + 212 + 206 - 409.\nAnswer: 2*p + 9","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-5))\/(4\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -694, -693, -692?\n\"Answer: h - 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363 is divided by 82?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.07 + -0.37. What is the second smallest value in 0.01, m, 1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (9\/(-3) + 4). Solve r = -4*a - 9 + 1, n = -2*a - 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**6\/120 + 7*n**5\/60 + n**4\/8 + n**3\/3 - 4*n**2. What are the prime factors of s(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1358 divided by 97\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1152 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g - 60 = 0. Suppose -3*f = 6, -3*f + g + 22 = j. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y - 2*y + 70 - 2. Let z be i(0). What is the remainder when 48 is divided by (z\/6)\/(2\/3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 37868, 151489, 340864, 605993, 946876?\n\"Answer: 37877*m**2 - 10*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(7) + sqrt(14)\/sqrt(2))*-4 + -1*sqrt(112)*-2)**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71 or -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + 0 - (-4 + 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5616956*j**3 + j + j**2 - j - 2*j**2 - 5616925*j**3.\nAnswer: 31*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101692 or -305072\/3?\nAnswer: -101692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 58\/9 of a day?\nAnswer: 9280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -144 - 2*(-3)\/(-2). Let w be 427\/q - 3*-1. Which is bigger: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310 = -13*w - 28. What is the third smallest value in -1.35, w, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187948441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/(-10))\/(-3 + 2940\/(-32)). Which is bigger: b or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*w + 10 - 18 + 84*w + 78.\nAnswer: -w + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n + 8 - 6 + 6 + 8 to u + h*n and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - 0\/2) + -2. Suppose -v - s = -1. Calculate the common denominator of 48\/5 and 59\/(v - (-16)\/(-2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198860362.\nAnswer: 2, 2141, 46441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-6.64723.\nAnswer: 1.994169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**5 + 10637*b**4 - 63*b**3*m - b**2*m - b**2 - 2*b*m + 71*b - 520*m + 2 wrt b.\nAnswer: -60*b**2 + 255288*b - 378*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.13 + 0.13. Which is the nearest to -2\/3? (a) r (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1685 + 0.8315. Which is smaller: -1.323 or z?\nAnswer: -1.323","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-20)*(-7410)\/92872)\/(9\/(-144)*1)\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 0 - 1)\/(-1). What is the remainder when 19*(5\/5 - 0) is divided by (r + 0 - -2) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 574107876 divided by -5?\nAnswer: -574107876\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1020\/119 + (-8)\/14. Suppose -j*w - 3*w = -19*w. Which is the closest to 0.07? (a) 0.3 (b) w (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a decade in months?\nAnswer: 1824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*2*2)\/(((-2*sqrt(88) - sqrt(88)) + sqrt(88))\/sqrt(11)) - (3 + sqrt(468) + -1 + (1 + sqrt(468) + 5)**2).\nAnswer: -506 - 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**(-5)))\/p)**(-3\/5)\/(p**(3\/2))**(-2) assuming p is positive.\nAnswer: p**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16777, -33559, -50343, -67129, -83917?\n\"Answer: -b**2 - 16779*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 460 - 80. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 3*k + 2. Let c be b(3). Let t(j) = 5*j**2 + 11*j**c + 3*j**2. Let s(o) = -17*o**2 - 22*o**2 - 15*o**2 + 62*o**2 - 10*o**2. What is s(t(g))?\nAnswer: -722*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1786*k**2 + 585*k**2 - 9137103 + 9137103.\nAnswer: -1201*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2. Let q(p) = p**2 + 16*p + 113. Give q(a(i)).\nAnswer: 4*i**4 + 32*i**2 + 113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -17, -30, -59, -104, -165?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzhlhmfhffmh. What is prob of sequence lgfz?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15947.1 minutes in hours?\nAnswer: 265.785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**7\/98 - x**6\/70 + 3*x**5\/28 + x**4\/28 - 4*x**3\/7 + 6*x**2\/7 - 10*x. Suppose a(f) = 0. Calculate f.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27765 + -194068\nAnswer: -166303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 631, 626, 619, 610?\n\"Answer: -x**2 - 2*x + 634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d + 3. Let g be j(-1). Let b be (4\/(-4))\/g - -49. Determine q, given that b*q + q**3 + q**3 + 3*q**2 - q**2 + 18*q**2 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51\/2 + 25. Suppose -1317*v = -1329*v. Which is the nearest to -2\/7? (a) -3\/4 (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 0*z**2 - 2*z**2)*((0*z - 2*z + 4*z)*(2*z**2 + z**2 - z**2) - 6*z**3 + 9*z**3 + 5*z**3).\nAnswer: -24*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 18\/11*l + 0 - 6\/11*l**2 = 0. What is l?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/36*-4)\/(7\/(-7)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from gvcggvcv?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1486177.2 seconds to hours.\nAnswer: 412.827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 2. Let f(w) = -81*w - 192. Let n(z) = 19*z + 43. Let i(s) = -2*f(s) - 9*n(s). What is i(x)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 3.886.\nAnswer: -19.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 805722459 + 202*h**2 - 805722459.\nAnswer: 202*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5*-5*sqrt(57)\/sqrt(3) + ((sqrt(2299) + 1 - sqrt(2299))*6*-5)**2.\nAnswer: 25*sqrt(19) + 896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 3*x - 201, 5*x = -s + 3*s - 99. Let t = s - 56. Suppose 4*m = -12, t*i - 78 = i - 4*m. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0148 greater than or equal to -2436\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 31.8305 days?\nAnswer: 2750155200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 74 = 2*y, 3*y = -p - 0*y + 17. Let f(v) be the first derivative of -231\/4*v**4 + p*v**3 + 0*v + 147\/5*v**5 - 6*v**2 - 4. Factor f(m).\nAnswer: 3*m*(m - 1)*(7*m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*(-1 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -40. Which is the nearest to k? (a) 2 (b) 0.05 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**4 - 44*w**3 + 484*w**2 = 0. Calculate w.\nAnswer: 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*p - 2*p - 2014 = 0, 5*h = 4*p + 3385. What is h rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**4\/3 + 21*f + 8. Let q(o) = 159*o**2. What is y(q(w))?\nAnswer: 101124*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 106, 253, 460?\nAnswer: 727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 379 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*o - 344 = -784. Solve 211 - o = 29*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 - -126. Suppose -2*u + 5*u - x = -g, 0 = -g + 2*u + 73. Suppose 2*h = -3*v + 37, -2*v + 7*v - 2*h = g. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 15 + 9 + 3073111*w.\nAnswer: 3073111*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 5*w - 2*w)*(-3 + 1 + 4) - 2*w + 4*w - 3*w - w + 2*w + w + (-2*w + 3 - 3)*(-1 + 4 - 1) + 3*w - 2*w + 0*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*v + 2337 = 145*v + 8109 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 254122*5.\nAnswer: 1270610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 21*m + 9. List the prime factors of c(11).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 384 and 2016816?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.2, -0.1, -3, -5 in descending order.\nAnswer: 7.2, -0.1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000658556522 rounded to seven dps?\nAnswer: -0.0006586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v - 13. Let g be i(13). Let b(r) = -r**3 + r**2 + 3. Let h be b(g). Suppose -11 = -2*z + h. Solve 2*p + 1 = -z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9.8 and 26.\nAnswer: 16.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 22*o - 1643. Give p(-53).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135 - (-54 + 74 + 82)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 431 = -4*j + 43*y, 2*y - 420 = -3*j - 403 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5235*c. Let f(d) = -d. What is f(m(b))?\nAnswer: -5235*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34430783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5 - 5 = 0. Suppose 4*x + r*b = -15, -12 = -3*x + 4*x + 4*b. Let c(z) = z**3 + z**2 + z + 18. What is the units digit of c(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2 + 5*m - 2. Let r(f) = -3*f**2 + 4*f - 1. Let t be 1\/(-5) - 24\/5. Let c(x) = t*r(x) + 4*s(x). Factor c(d).\nAnswer: 3*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1268 and 2610812?\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 6*u - 9. Let q be 16\/5 + 4\/5 + 3. Calculate h(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/5)\/((-18)\/(-45)). Suppose -3*a - 2737 = -2*v, -t*a = v + 4*v - 6795. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10942173 and 1584.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 360251440 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 19*h + 24. Let v(t) = t**2 - 44*t + 61. Let f be v(43). Calculate p(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-11) - (13959\/(-363) + 52).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 2. Let f be v(0). Solve 7 = -f*b - 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/5)\/v*v*v**(-1\/3)\/v)**(-33)\/(v**0*v**(2\/15)*v**1*v**(-1\/9)) assuming v is positive.\nAnswer: v**(1637\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33992330.\nAnswer: 2, 5, 19, 178907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, a: 1, y: 1, z: 6, i: 2, c: 2}. What is prob of sequence iy?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, 0.01, -2 in decreasing order.\nAnswer: 0.01, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 - 44*m - 4. Calculate u(22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 7. Let k = 1 - v. Let o(h) = -h**2 + 32*h - 134. Let x be o(5). Are x and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 10 - 2 = 0, 2*x - 2*d = 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooooooow. Give prob of picking 1 w and 2 o.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0. Suppose y = 5*x - 3*x + 10. Suppose 0 = -5*g - 2*n + 10, -3*n = -4*g + 2*g + 23. Put 1, g, x in descending order.\nAnswer: g, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -540.69 + -78213290.\nAnswer: -78213830.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -348*p**2*v**3 - 2937*p**2*v**2 - 79*p**2 - 167533*v - 2 wrt v.\nAnswer: -2088*p**2*v - 5874*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 8:47 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 0 + 9*t - 1\/2*t**2 + 1\/20*t**5 + 11\/12*t**4 - 17\/6*t**3. Let k be g(-13). What is k rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 0*f + 4*f + 2*f. Let p(d) = -d**2. Let b(g) = -j(g) - p(g). Suppose b(q) = 0. Calculate q.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -1)\/(388\/(-1067))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 34882 times 46\nAnswer: 1604572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8657f5a - -4?\nAnswer: -8657f56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1552534 by -4.\nAnswer: 776267\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225*u + 260 = -212*u. Calculate the least common multiple of u and 1336.\nAnswer: 6680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**6\/120 - 13*a**3\/6 + 7*a. Let w(h) be the second derivative of b(h). Let f(o) = 2*o. What is w(f(i))?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g - 7. Let i(a) = -4*a - 6. Let d(s) = -6*i(s) + 5*y(s). Let m(w) = -4 + 4*w + 5*w**2 + w**3 - 10*w - w**2. Let x be m(-5). Give d(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43244477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*k*y**2 - 3*k*y - 30*k - y**3 + y**2 - y wrt y?\nAnswer: 22*k - 6*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 599.2577 grams in milligrams?\nAnswer: 599257.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 5176.1032422\nAnswer: -5176.1032422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a. Let i(t) be the third derivative of 7*t**5\/30 + t**4\/12 - 34*t**2. Give y(i(d)).\nAnswer: 42*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 201420336 to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -27*q**5 - 111*q**4 - 93*q**3 - 9*q**2 = 0?\nAnswer: -3, -1, -1\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*x = x - 2, 5*u + 5*x - 20 = 0. Suppose 0*p = p - 5. What is the third derivative of -o**2 + 3*o**p + 0*o**5 + 4*o**2 - o**u wrt o?\nAnswer: 180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yo when two letters picked without replacement from {o: 5, x: 1, n: 11, y: 3}.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5772286 is divided by 35?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 14*x**2 + 4*x - 10. Is n(-4) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 11*v - 22*v + 8*v + 7*v**2 - 2 - 5. What are the prime factors of t(-6)?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 85, 4, -2 in ascending order.\nAnswer: -2, 4, 5, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -180 - -3?\nAnswer: -17b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 11*s**2 - 11*s + 10. Let n be h(12). Let w = -12 + n. Solve -3 = 3*b, 0 = 2*c + b + 1 - w for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.251 in -4\/11, -3, 8\/3?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 96828, 96732, 96636, 96540?\n\"Answer: -96*n + 96924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 2*t**3\/3 - 3*t + 5. What is the first derivative of l(j) wrt j?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of -3 - (-45 - 2)*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 1. Let u(d) = 4*d**2 + 2*d + 1. Suppose 0 = -3*n + 2*n + 1. Let r = -209 + 206. What is n*u(y) + r*s(y)?\nAnswer: y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 4*g**2 + g. Let o be v(4). Let k(h) = h**3 - 3*h**2 - 2*h + 4. What is the tens digit of k(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3511 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: Express (-2*o**2 - 3*o**2 + 3*o**2)*(-608 + 647 - 830)*(-2 - 2 + 2) in the form v*o**2 + w*o + p and give v.\nAnswer: -3164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 133\/17 + -1538\/51. Is f bigger than -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*c + 4 - 4)*(3 - 3 - 2) - c + c + c)*(-29*c**2 + 19*c**2 - 25*c**2)*(1 - 2*c - 1) to the form a*c**2 + l*c**3 + u*c + f*c**4 + s and give f.\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3)\/o)\/o**32 assuming o is positive.\nAnswer: o**(-100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u**2 - 104*u - 4*u**2 + 330*u - 4*u**2 - 1049*u in the form v*u**2 + n*u + p and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n - 6*n + 2 + n + 8*n. Let b = -205 - -204. Determine p(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 12*s + 204. What is g(-18)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + b = 497, j = -j - 4*b - 308. Let x = j - -201. Is 38 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 5*m = 85, 4*s = -3*m - 4 - 60 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, 1, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9437.444 - -29?\nAnswer: 9466.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = -5 + 41. Solve -5 + 25 = -q*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13508143.637 to the nearest one hundred.\nAnswer: 13508100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5254982)\/(-6) - (-22 - 3648\/(-171)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 20*b**2 - 4. Let g be t(-20). Let s be (-5 + -3)\/g*8. Calculate the highest common divisor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 6 + 2)*(f - 1 + 1) - 1259 + 599 + 600 + 2*f as b + o*f and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 949260 times -0.16?\nAnswer: -151881.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i + 1123 - 1155 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3133, -5481, -7829, -10177, -12525, -14873?\n\"Answer: -2348*k - 785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56452081513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 - 1 - (-72 + (-4)\/(-4))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5029259 + 5029259.12999985. Let h = a + -0.13. Round h to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23671*-2549.\nAnswer: -60337379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 5:00 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.9 + 3.1. Let v = n + -7.56. Let z = v + 0.26. Which is the fourth smallest value? (a) 0.4 (b) 5 (c) z (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4537, 5033, 5859, 7015, 8501, 10317?\n\"Answer: 165*u**2 + u + 4371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 92 + 76. Let h = -79 + s. Solve 3*a - 30 = 3*g, 5*a = a - 3*g + h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**3 - 16*b**2 + 4*b - 63. Give u(8).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2915 and -23?\nAnswer: 67045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -265.5 - 4851\nAnswer: -5116.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b (base 13) to base 8.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 0 + 0)*(-33*f - 129*f + 294*f) to the form m*f + k and give m.\nAnswer: 924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32839983.\nAnswer: 3, 11, 67, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -709*h = 39*h - 65*h - 2049. Let u(w) = 20*w. Calculate u(h).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c101 (base 16) in base 6?\nAnswer: 3511321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**2. Let y(f) be the second derivative of 5*f**3\/3 - 6*f. What is l(y(b))?\nAnswer: 300*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22980820123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8654*x - 25814 = -268096 - 190576 - 51766 for x.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 3*y + 5*g - 5, 5*y - 2*g - 12 = 0. Solve f = y*d - 3, f - 5*d + 4 + 8 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 5*s = -4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u - 10 - 4 - 112*u**2 + 223*u**2 - 110*u**2. Calculate k(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9\/8, -1\/22, -3\/5?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -1 - 5) + (24 - 15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 202 = 138. What is the second derivative of u*i**3 - 7*i**3 + 16*i**3 - 30*i wrt i?\nAnswer: 174*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 62 = -3*p - 2*t, 2*t - 50 = -4*p for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 105\/(-14)*4\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1721323 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1484?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {d: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 726793 (base 11) to base 5.\nAnswer: 244244244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 490 and 3810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -24*c**2. Let z(f) = -11*f**2. Let o(p) = 6*y(p) - 13*z(p). Let r(i) = 4*i + 7. Determine o(r(h)).\nAnswer: -16*h**2 - 56*h - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**6\/120 + r**5\/10 + r**4\/12 - 7*r**3\/6 + r**2. Let b = -228 - -238. Suppose b*l = 68 - 8. Calculate t(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 702?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 312\/(-9)*(-13352)\/21697.\nAnswer: 64\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in 8, -15\/8, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 1. Let a(k) = k**3 + 2*k + 27. Let l(u) = a(u) - 4*d(u). Let g be l(0). Factor i**3 + g*i**4 + 9*i + 10 - 55*i**2 - 44*i + 34*i**3 + 22*i**4.\nAnswer: 5*(i - 1)*(i + 1)**2*(9*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5139348, -10278709, -15418084, -20557473, -25696876, -30836293?\nAnswer: -35975724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 131330 at least as big as 131330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -69*o + 8164. Determine f(117).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 7 - 11 = 0. Let n be 2 + 36\/3 + -3. Let k(i) = 4 + n*i**j + 6 - 10. Let m(d) = 2*d**2. Give m(k(r)).\nAnswer: 242*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 523 - -34. Suppose -z = 2*s - 1383. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -1\/3 (c) 13\/2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r**2 + 115*r. Let u(n) = 2*n**2. What is x(u(a))?\nAnswer: -12*a**4 + 230*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (-4 - -9)) + -14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -4, 2, -2.\nAnswer: -4, -2, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*-0.0668.\nAnswer: -0.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40187\/96 or 418?\nAnswer: 40187\/96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141601 is divided by 2047.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.8436 - 0.0436. Which is the fourth smallest value? (a) -4 (b) -3 (c) k (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32055000 to the nearest one million.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5\/(k*k**(-2)*k))**6*((k**(-1\/4))**(-2\/47))**(8\/5) assuming k is positive.\nAnswer: k**(7054\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(99)*-2*2 - -3*sqrt(99)*1))\/(-2*sqrt(18)\/sqrt(32)) + 5.\nAnswer: 5 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 3*l + 1. Let z be h(-3). Is z at least 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 731070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + k + 2)*(34 + 59 + 86 - 56)*(16 + 35 + 9).\nAnswer: 7380*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118868\/4627 + 16\/661. Let g = 21142112\/693 - 274348\/9. Let q = i - g. Calculate the common denominator of 5\/4 and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 c when four letters picked without replacement from {f: 3, c: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 48 = -o, -8*n - 11*n = 2*o + 152 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k**2 + 0*k**2 + 0*k**2)*(0*k + 3*k - 7*k) - 4061*k**2 - 854*k**3 - 4069*k**2 + 8130*k**2 in the form q + d*k**2 + z*k + b*k**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(108) + -1*sqrt(108)) + sqrt(108))\/sqrt(9).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 29 = 4*f, -3*w - f + 4 = -0*w. Suppose 0*l = -w*l - 225. What is the tens digit of (-2)\/10 - 3990\/l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.119581 rounded to two decimal places?\nAnswer: 19.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (q**3 - q**3 + 3*q**3)*(59 - 71 - 96) as c*q + x*q**3 + v*q**2 + s and give x.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 256260?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 43*r**2 + 82*r - 17. Let v(g) = -15*g**2 - 28*g + 6. What is -6*n(l) - 17*v(l)?\nAnswer: -3*l**2 - 16*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**3\/2 - 85540305*n**2 - 2439047584336419*n\/2 + 4878096537317814 = 0. What is n?\nAnswer: -28513437, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1))**(-19)*(z**(1\/4))**(-5) assuming z is positive.\nAnswer: z**(-157\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*y = -y - 261630. Is y a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.081 + 0.419. What is the fourth biggest value in -2\/3, -2, p, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2860*r**3*t*z - 1133*r**3*t + 19*r**3 + 110*r**2*t*z + r**2*t - 2*r - 1 wrt z?\nAnswer: -2860*r**3*t + 110*r**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**4\/7 - 12*i**3 + 1104*i**2\/7 - 3244*i\/7 + 318 = 0.\nAnswer: -53, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 11*d - 6*d, -2*o + 15*d = 85 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2. Let f(k) = 8*k. Let l(h) = -8*h + 22*h + 9*h. Let w(n) = -11*f(n) + 4*l(n). Calculate w(a(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2217802*z. Let h(s) = -4*s**2. Calculate g(h(u)).\nAnswer: 8871208*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 714.6 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(2057\/33) - (-444)\/(-1386)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**2. Let o(l) = 141 - 7*l - 13*l - 141. Calculate o(k(j)).\nAnswer: -80*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 7*d + 280. Let z = -15 + 22. What is the greatest common divisor of d and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 44.12385 centuries?\nAnswer: 4412.385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times -0.06665?\nAnswer: -0.0046655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 3\/4*c**2 - 3\/2*c**3 + 3*c + 3\/10*c**5 - 5 - 3\/8*c**4. Factor n(a).\nAnswer: 3*(a - 2)*(a - 1)*(a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*o + 73*o. Factor 15\/2*l**4 + 12*l**3 + o + 3\/2*l**2 - 3*l.\nAnswer: 3*l*(l + 1)**2*(5*l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 81, 285, 615, 1071, 1653, 2361?\n\"Answer: 63*a**2 + 15*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/6 - 4669\/(-42). What is the highest common factor of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5\/f**(-35))\/(f**17\/f*f**(-2\/13)) assuming f is positive.\nAnswer: f**(314\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gytyyyygdyzz. What is prob of sequence zgyz?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -915313.379 and 22.5.\nAnswer: -915290.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3012 + 1a4a2?\nAnswer: 17490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30266 is divided by 1980.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-62)\/(-10) + 6\/(-30). What is the second derivative of -7*d**2 + d**2 + v*d**2 + 6*d**3 - d wrt d?\nAnswer: 36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 0. Let n = t - -2.5. Let m = 3 - 2. Which is the nearest to m? (a) 1\/2 (b) n (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 - -31350273.501?\nAnswer: 31350371.501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c - c - 4*c + (11*c + 9*c - 3*c)*(1 - 3 + 1).\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/41597, -5, 0.4, -4 in increasing order.\nAnswer: -5, -4, -1\/41597, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 2, 5, -0.1, -1, -490 in decreasing order.\nAnswer: 5, 2, 1\/6, -0.1, -1, -490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 3:03 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 4 = 8*s. Factor 2*b**4 + b**3 + s*b**3 + 0*b**3 + 3*b**3.\nAnswer: 2*b**3*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39 in -15, -6\/11, 125, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -123 + 2*y - 115 + 233. Give f(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 57 = -3*s - 2*w, 5*s - 4*w - 50 = 0. Let g(y) = y**2 - 15*y + 16. Let c be g(s). What are the prime factors of -3*c\/9 + 1258\/6?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = -40*g + 23504. Let c = -279 + g. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.046 - 6.046. Let b = 3 + l. Let f = 5.8 + -0.8. What is the closest to b in 2, f, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 19 = -3*f, -2*f + 15 = 3*c - 5*f. Let o be (-2)\/(-7) + (-10)\/(-14). Let a = o + c. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(104)\/sqrt(2))**2 - (sqrt(325) + (sqrt(325) + 1)**2*-2).\nAnswer: 15*sqrt(13) + 699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 2, 3 in decreasing order.\nAnswer: 32, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -219616 greater than -219615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 9*h - 14 = 0. Suppose h*x - 245 = 2*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 4 - 4 + 9950414*b.\nAnswer: 9950414*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/7 - (-36)\/(-28). Let j be o*3\/(-6)*23158. Suppose 3*l - j = -3*u - 1376, -l = 2*u - 3402. What is l rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 5*x = 12, 2*u + 5*x = -3. Put 5, 139, u, -3 in increasing order.\nAnswer: -3, 5, u, 139","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqr when three letters picked without replacement from yfayefyreffeffqe?\nAnswer: 1\/3360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76*p**2 + 303*p + 72*p + 416*p + 273*p - 120*p**2 wrt p.\nAnswer: -392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474260 less than 1474255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ytt. Give prob of sequence ytt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-35) + 9\/(-7). Let p = -255 + 2807\/11. Let g = 4 - 6. Which is the closest to g? (a) l (b) 2\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -523*v = -518*v + 20. Let g = -7 - -2. Sort v, 5, g in decreasing order.\nAnswer: 5, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-40)\/(-450)*9) + 888\/(-160)?\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 15*v**3 - 55. Suppose -64 = 4*i + 12*i. Let m(y) = y**3 - 4. Calculate i*q(p) + 55*m(p).\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z - z**2 + 0*z + 2*z. Let j(b) be the second derivative of -b**4\/12 - 2*b**3\/3 + 1174*b. What is 5*j(p) - 4*x(p)?\nAnswer: -p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -9*y + 18*y**2 + 3*y + 17 - 31*y + 2*y**3 - 3*y**3. Is w(15) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2327*g + 839*g - 2483*g.\nAnswer: -3971*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/11, 5, 2, -0.21, -28 in decreasing order.\nAnswer: 5, 2, -0.21, -3\/11, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, o: 1, u: 5}. Give prob of sequence oz.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9060 and 22650?\nAnswer: 45300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 3. Let v(r) = r**2 - 4*r**2 + 0*r**n + r**2. Let g(h) = 12*h. Determine g(v(x)).\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 7*c - 4. Let u be o(-6). Let z(q) = 2 - 4 - q**u + 6 - q. Suppose m - 2 = -5*j, m = -j + 6*m - 10. What is z(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -3, -30.2, -2\/7, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r - 6 = -9*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/96074 and 79\/376332?\nAnswer: 1643441844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 16*w**2 + 6*w + 2. Let i(u) = 13*u**2 + 8*u + 2. What is -5*i(h) + 4*o(h)?\nAnswer: -h**2 - 16*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3641*v. Let o(l) = -19*l**2. Give n(o(x)).\nAnswer: 69179*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.026865164 to 4 dps.\nAnswer: -0.0269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*t**5 + 504*t**4 - 4*t**3 - 134901*t**2 wrt t?\nAnswer: -1200*t**2 + 12096*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 752157483+0.1\nAnswer: 752157483.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 5*m**2 + 5*m + 26. Is a(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 0. Let f = 4 + m. Let u be 4\/12 - (-164)\/f. What is the greatest common divisor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 588, 0.\nAnswer: -1, 0, 5, 588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = c, -3*c + 12 = 3*x - 0. Suppose p = 3*y + 2*y - 11, 3*p + x = 2*y. Let z = -817 - -815. Put y, z, 1 in increasing order.\nAnswer: z, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3 (b) -3 (c) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -831.066 - 1.5?\nAnswer: -832.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*d**3 + 7100*d**2 - 3208487*d.\nAnswer: -108*d + 14200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = q - h, 2*q = -3*h - 310738 + 310780 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*n + g + 30, g - 35 = -4*n. Let b = n + -7. Put b, -5, 0.02 in decreasing order.\nAnswer: b, 0.02, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -73\/5, 10, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11187 + -7076. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -2. Suppose 4*c = -3*t + 2*t + 13, 5*c = 5*t + 10. Let y be (-3 - t) + 3\/(99\/96). Is y equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 22*b**3\/3 + 5*b**2 - 2067. Let l(p) = -3*p**2. What is v(l(h))?\nAnswer: 198*h**4 - 30*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-3 + 0)\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1988 and 101399360?\nAnswer: 709795520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 7*i - 7. Let x be (-4)\/(-6) - 175\/15. Let a = 16 + x. Let f be k(a). Sort -2\/3, 5, f in decreasing order.\nAnswer: 5, f, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -23, -22?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 12:53 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*z + 2816 + 1943 = -11774 + 2491 for z.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = y + 2, -16*h + 17*h = 5*y - 18 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18524788 is divided by 69642?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*d - 207*d = -4*f + 1660, -5*f - 403 = -d. Suppose 0 = 6*g - 4*g - 20. Suppose -367 - d = -g*t. What is the remainder when t is divided by 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -7*z + 1. What is p(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 553779 - 108605. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/2 (b) 2\/71 (c) -3\/692 (d) 2 (e) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.3 - 10.3. Let v = -54\/85 - -4\/17. Sort v, -0.5, o in descending order.\nAnswer: v, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 38*o - 759 = -4*y, 5*o - 5*y - 115 = 0 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 0 - 2\/3*d**4 - 2\/21*d**7 + 0*d**2 - 5*d + 0*d**5 + 2\/3*d**3 + 4\/15*d**6. Factor k(t).\nAnswer: -4*t*(t - 1)**3*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2 + 1. Let u(q) = -3 + d + 2*q + 2 - 1. What is u(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/2 (b) 2 (c) 3 (d) -2\/263\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-213)\/568)\/(7\/56). Let t(d) = d**2 + 6*d + 3. Let p be t(-4). Put p, k, 0 in decreasing order.\nAnswer: 0, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from taaaaaaaaaa. Give prob of sequence ata.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2109651642 and 5103?\nAnswer: 5103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -633 + 614 + (4 - 1) + -3 + 0.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1958723 is divided by 669.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9758.709t?\nAnswer: 9758709000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 422759977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide ((-12836)\/(-14))\/(21\/(2205\/30))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 9 = 5*i - 5*m, 2*i - 4*m = -20. Suppose h + 4*h - 5 = i. Let k = 1073 - 1067. Sort k, h, -5.\nAnswer: -5, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*g = -4*h - 4, 2*g + 7 = -3*h. Put 2\/53, h, -0.8 in ascending order.\nAnswer: h, -0.8, 2\/53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -20*v. Let t(k) be the second derivative of 1\/6*k**3 - 54*k + 0*k**2 - 1. Calculate t(d(j)).\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3887471\/5 + -777493. Determine k so that 0 + 2\/5*k**4 - 2*k**2 + 2\/5*k**3 + r*k = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -3931271.\nAnswer: 16\/3931271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -110686, -110684, -110682?\n\"Answer: 2*n - 110688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2485.831887 + 2389.8318. Let c = 96 + k. Round c to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 15 + 15*h + 46*h + 104*h.\nAnswer: 165*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13, -19, -25?\n\"Answer: -6*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 415 and 2452190.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 + 1154 = 4*g. Let z = 312 - 175. Suppose 0*f = -r + 2*f + z, -g = -2*r + 5*f. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, -5 in decreasing order.\nAnswer: 3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dsdd when four letters picked without replacement from ddddsdddsds.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 64? (a) 0 (b) 2\/5 (c) -2 (d) -50 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -207 divided by -11.\nAnswer: 207\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u - 12*u - 8496 + 8496.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51156.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187137.\nAnswer: 3, 29, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5815289 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8108, 8061, 8014, 7967, 7920, 7873?\nAnswer: 7826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 8*p. Let x(h) = -h. Let i(u) = 10*x(u) + z(u). What is the tens digit of i(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.67 - -3.63. Let k = g - 4. Let m = 1.7 + k. Is m less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 459. Let g(c) = c - 10. Calculate a(g(i)).\nAnswer: -i + 469","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -500, -1321, -2382, -3803, -5704?\nAnswer: -8205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17132.1 and 5.\nAnswer: -85660.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2503 + 2505. Let a(h) be the third derivative of 22*h**p + 1\/60*h**5 - 3\/10*h**3 - 1\/600*h**6 + 0 + 0*h - 1\/40*h**4. Suppose a(g) = 0. Calculate g.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -280772331 by -7.\nAnswer: 40110333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 2*h**2 - h - 38. Give d(0).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1831, 1304, 6525, 13832?\n\"Answer: 1043*k**2 + 6*k - 2880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.178533 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 2. Let n(k) = -9*k**3 - 8*k**2 + 6*k - 13. Let a(c) = -n(c) + 10*x(c). What is a(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f - 7. Let o be z(11). Let i(h) = 4408*h**3 - 2 - 4407*h**3 + 1. Let v(n) = 5*n**3 - 2. Determine o*i(x) - 2*v(x).\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 15 - (-8)\/4. Which is smaller: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.092637 times 5.9?\nAnswer: -0.5465583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 * -6.\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 + 36*a**2 + 29*a**2.\nAnswer: 65*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*x, -5*h - x = x - 96. Let f(s) = 34 - h + s - 16. Let o(l) = 8*l**2. Calculate f(o(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1466816 divided by -8944?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 5:13 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*k - 195*k = -775892. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -7. Let q = 15 + -15. What is the closest to p in 1\/4, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f - 759. Let t(p) = -66*p. What is h(t(l))?\nAnswer: 264*l - 759","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-16)\/(-60)*15\/(-70)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.39992 and -0.185.\nAnswer: 0.0739852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/2*(2 + 3). Let u be (-5)\/(i\/(-6)) - 1. Suppose -3*g = -u*z + 2 + 7, 4*z - 22 = -5*g. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 5*b - 396, -2*o + 67 = -b - 197. Let k = 4 + 8. Calculate the highest common divisor of k and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21384506*c**2 - 18133471*c wrt c?\nAnswer: 42769012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105 and 9.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*k + 77*k + 324 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.055365 rounded to 4 decimal places?\nAnswer: 0.0554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 24738 + 2568 = -4*p, 12 = -3*p. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 659271.3 millennia in months?\nAnswer: 7911255600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r**0\/r*r)\/r))\/r)**(3\/2)\/(r**11*(r*r*r**(1\/6))\/r) assuming r is positive.\nAnswer: r**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 576565.7184 rounded to the nearest 10000?\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 109 + -76. What is the greatest common divisor of 132 and d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 d when three letters picked without replacement from dcccdccddddd.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 36 + -56 + 0?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -18*d + 17*d. Let y = 33 - 9. What is the lowest common multiple of y and d?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 + 53. Solve 2*g + 4*j = -4, 5*g + l*j + 0 - 5 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -4*l**3 + 4*l**2 + 24*l = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 946282 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -4 + 1 - 22) + (477 - 462).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 173236 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5 - 9 - 2*g - 2 - 80*g**2 + g**3 + 84*g**2. Suppose r + 3*a - 24 = 0, 2*r + 5*a = 33 + 12. Let w = 11 - r. Determine i(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, 0, 133, 432, 951, 1744, 2865?\nAnswer: 4368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62850*m + 123480*m - 186334*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s + 20 = 82 + 190 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15238060 a multiple of 820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by ((-826)\/(-70))\/(1\/5).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 24a - 27?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4300 and 4?\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -5, 6, -0.3, 0.02?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*g**3 - 6\/7*g**2 + 0*g + 8\/7.\nAnswer: 2*(g - 2)**2*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 189\/36)\/((-1)\/4). Sort 5, 12, p.\nAnswer: p, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, -133\/102, -0.3, -0.2.\nAnswer: -66, -133\/102, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*m - 8, 4*q = -m + 4*m - 13. Let s = q - -7. What is the units digit of -2 + s - -3*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 1:31 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85 + -82. Suppose -11*i - 46 = -t - 16*i, -d*t + 198 = -5*i. List the prime factors of t.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0 (b) 2 (c) -1\/7 (d) 24279 (e) -0.1 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 392 divided by -3?\nAnswer: -392\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**3 - 34*f**2 + 54*f**2 + 4*f + 365*f**2 - 4*f**3.\nAnswer: -12*f**3 + 385*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 12 - 15\/(-6))\/((-280)\/(-336))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 11*u**2 - 28*u + 11. Let h be b(13). Let v be (-2)\/(-2*(-5)\/h). Find the third derivative of 12*d**2 + 15*d**5 - 256*d**v + 256*d**3 wrt d.\nAnswer: 900*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 6*d + 2 = 7*d, 4*d = 3*b - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7*o**2 - 8151*o + 40659. What is f(5)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-93 - -3) + 15 + (-3 - -5) + 8 + -12?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*s**3 + 125*s**3 + 12636*s - 12636*s.\nAnswer: 182*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a + 80. Let x(j) = -5*j + 43. Let y(s) = -4*h(s) + 7*x(s). What is y(8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 u when three letters picked without replacement from {v: 1, m: 1, r: 4, k: 3, u: 2, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35045.54mm to micrometers.\nAnswer: 35045540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -160.49 + -3.51. Let j = -165 - k. What is the closest to 1 in j, 4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - j - 5. Suppose -25 = -133*r + 128*r. Let m(i) = -i**2 + 4. Give r*m(b) + 4*n(b).\nAnswer: -b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -3 - 4 - (72 + -27 + -105)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/6 (b) 27.1 (c) 3 (d) 1 (e) 2 (f) -13\/4 (g) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 5*x - 4. Let g be j(-1). Solve -2*z + g*z - 4 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 13 = o, 8 = 3*o - 2*o - k for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 + 52. Let m = 16.2 - a. What is the third smallest value in m, -0.1, -1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 5 - (-3 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 141032 (base 8) to base 16\nAnswer: c21a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*d + 117, -2*w + 2 = -4*w. Which is the biggest value? (a) d (b) 8 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12519761?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -227588 divided by 4?\nAnswer: -56897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 10:36 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 335*v**2 - 71*v**2 + 289*v**2 + 198*v**2. Let o(i) = -2*i. Calculate o(u(c)).\nAnswer: -1502*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwttwwtwtww.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1126\/3 + 375. What is the nearest to 1 in 0, h, 4, 14\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 21*p + 8. Give n(-2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14678543 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 71*k**3\/6 - 5*k**2\/2 + 11*k. Let u be p(1). What is the greatest common divisor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 18*f + 366. What is the remainder when 113 is divided by l(-19)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-424)*22\/165*15?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-seven halves of a decade?\nAnswer: 2220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 1151 - 238 = -632. Which is bigger: 102 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-nine quarters of a meter?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 j when two letters picked without replacement from {j: 3, u: 15}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -1. Let g(w) = 2*w**2 + 12*w - 2. What is -g(d) + 2*k(d)?\nAnswer: -2*d**2 - 12*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1430*q - 1425*q - 675. What is the lowest common multiple of q and 30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2330, -4335, -6342, -8351?\n\"Answer: -s**2 - 2002*s - 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3046230586 - 0.03.\nAnswer: -3046230586.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and ((-2)\/(-5))\/((-10)\/(-1100))?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-2)*1\/(-2). Let u be -959 + k\/(-4) + 0. Let h = -929 - u. Calculate the common denominator of -27\/20 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -24*k - 118. Let y be i(-5). Solve -3*g = g - y*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 739?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**2 + y**3 + 4*y**2 + (-2*y**2 - 4*y**2 + 7*y**2)*(18*y + y + 0*y).\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/q**(-13\/2)*q)\/q)*q*q\/q**(-16)*q*(q*q*q**4)\/((q*q**21)\/q))**(-36) assuming q is positive.\nAnswer: q**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2738127\/337 - 8125. Suppose -3789*t = -3779*t. Is t equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 1666 = -5*a, 3*k - 4*a = 91 + 1158. Let v be (-19)\/5 + 3\/(-15). Is k + (-3 - (v - -1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -1. Suppose 3*d - 11 = -65. Find the common denominator of (-4)\/d*(-130)\/f and -62\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 d when three letters picked without replacement from {i: 3, r: 1, d: 4, m: 1, z: 4, a: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59377029 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 6:07 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 30. Let u = 18 - c. Let d be 12\/((-9)\/(-3)) + -2. Solve -z + 4 = p + 2, d*p + 3*z = u for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 150, 7, 265 in decreasing order.\nAnswer: 265, 150, 7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + 3*c**2 - 2*c**2)*(2*c - 2*c + 2*c) - 1 + 1 + 2*c**3 + 0*c**3 + 2*c**3 - 5*c**3 + (-c**2 - 2 + 2)*(-2 + 2*c + 2).\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 13. Which is the third biggest value? (a) -0.2 (b) d (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 58789049, 117578101, 176367153, 235156205?\n\"Answer: 58789052*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*k + 391 = -437*k - 625 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -1 + 1\/4*k**2 - 1\/8*k**4 - 1\/6*k**3 + 1\/2*k. Find i, given that r(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3795 + -3794. What is the third smallest value in -3, g, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 3*z**2 - 3*z + 5. Let d(x) = -1. Let k(c) = -3*d(c) - o(c). Calculate k(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 8*a**2 - 16*a + 15. Suppose -v = -11*k + 7*k + 41, 5*v + k + 142 = 0. Is s(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 495 divide 4025936524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -56726\/42099 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/140 and -89\/8750.\nAnswer: 17500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w - 5. Let y(f) = -14*f + 14. Let z(h) = 11*v(h) + 4*y(h). Let r be z(1). Solve 2*n - 3 + 2 = -3*g, r = -3*g + 2*n + 17 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5746415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b**2 - 6*b + 5. Is y(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -5*u + 20, 15*u - 20*u + 45 = 9*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 11*c - 9503061 = 2124139. What is c rounded to the nearest 1000?\nAnswer: -581000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 97\/60 (b) 3 (c) 8 (d) -4 (e) -1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.435162 + 0.4388. Round k to 4 dps.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -t + 2*p, -5*t + 8 + 1 = -4*p. Solve 2*u + 2*m + 6 = -4, 4*u - t*m = -11 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22459\/713 - -1\/1426. Calculate the common denominator of -41 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -57771.7274 and -0.966.\nAnswer: -57772.6934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -4)\/(2\/(-3)). Suppose 0 = -a*o + 7*o - 8. Calculate the highest common factor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.8 (b) 2\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000279403919 rounded to 7 decimal places?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2817198 is divided by 282.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*s - 6. Suppose -10*f = 8*f - 17334. Let m = f - 915. Calculate the highest common divisor of m and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29)\/4)\/((-50 - -22) + 27)?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.2, 15, 3.82?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 266 = -26. Calculate the remainder when 215 is divided by o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 4, 1\/11, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*a = -20*a - 55 - 323 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 2:16 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3326 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, y: 12, t: 6}. Give prob of picking 1 p, 2 t, and 1 y.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002729 to 6 decimal places.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -9, 147, 513, 1167, 2187, 3651?\nAnswer: 5637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -367.35 + 272.3. Let o = l - -97. Let t = -0.05 - o. What is the biggest value in t, 1, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -310*h + 22. Let i be z(3). Let d = 6338\/7 + i. Is 0.2 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2049 + 2019 - (-2 - (0 + 2))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*5\/2*-2. Suppose 0 = q - 6*q - o. Let s be (-1)\/((-1)\/q*-1). Which is smaller: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-3\/2)*w**(-11)*((w**(1\/4)\/w)\/w)\/(w*w**(-2\/7)))**(4\/21) assuming w is positive.\nAnswer: w**(-307\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -9. Suppose -s + 4*s - 15 = 0. Let v = 8 - s. Put 0, v, x in decreasing order.\nAnswer: v, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -63011378975720 and 0.06?\nAnswer: 63011378975720.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 54*y**3 + 2*y**2 - 191*y + 4. Let h(f) = 107*f**3 + 4*f**2 - 411*f + 9. Give -9*a(j) + 4*h(j).\nAnswer: -58*j**3 - 2*j**2 + 75*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-3 + -2)) + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 117947 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-11)\/(-693)*-9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 270, 8, -5 in decreasing order.\nAnswer: 270, 10, 8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k = 15*k + 24. Suppose -10*m + k*m = -6840. Is 17 a factor of m\/35 + (-4)\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4 - 554295*n**3 + 34137735687*n**2 - 700790815949829*n - 1401718187276814.\nAnswer: 3*(n - 61589)**3*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21239947751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1, 8\/7, -5, -116?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 174262.\nAnswer: -5\/174262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4378)\/(-275) - (594\/75 + -8).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.13 greater than -0.601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 4. Let y be u(6). Let j be y\/5 - 52\/(-20). What is the third derivative of 2*x**6 + 2*x + j*x**2 + 8*x**6 - 2*x wrt x?\nAnswer: 1200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 125\/(-600) + (-1)\/6. Let j(k) = k**2 + 3*k - 8. Let g be j(-5). Let b be g - (56\/96 - 1\/(-6)). What is the closest to -2\/9 in b, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 25777.\nAnswer: 2\/25777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 7) + ((-38)\/76)\/((-2)\/(-24))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1697792027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -4. Let d be -4*(-3)\/(6\/2). Find the second derivative of 2*t**d + 0 + 0 + x*t**4 + t wrt t.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41\/(-9) - 5995\/(-1199).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -71, -101, -129?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58987, 234235, 526315, 935227, 1460971, 2103547, 2862955?\nAnswer: 3739195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: What is the remainder when 6380 is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9\/7, 622, 2\/13?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + (-9 - -10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 4*a - 132, -4*m = 3*a - 164 + 37. Suppose -x = 3 - 18. What is the second derivative of -m*c**2 + x*c**2 + 16*c**2 + 5*c wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-1))\/(-3 - -2). Let z(v) = 2*v**3 - 23*v**2 - 70*v - 3. Let r be z(14). What is the closest to 1 in 1\/6, h, r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 = 1489*b - 1498*b for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 0 + 7\/30*c**5 + 1\/24*c**4 - 31\/6*c**3 - 11*c**2 + 0*c + 1\/120*c**6. List the prime factors of g(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.0800049 + 1.08. Round w to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -20. Suppose -4*o = -j - x, -j = -2*o + 4*j + 28. Let w(l) = -5*l - 26. Let q(u) = 3*u + 13. Let d(y) = o*w(y) + 7*q(y). Give d(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-933\nAnswer: 93.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -445.4, -0.1, -1, -3, -0.2?\nAnswer: -445.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.24 in -18, -0.2, -3.45?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/198 and -5\/16840557.\nAnswer: 370492254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*n + 12, o = n - 5*n + 4. Let g be (1\/(-2))\/(3\/18). Let u be n\/1 + 0 - g. Put u, -3, 4 in decreasing order.\nAnswer: u, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/35, -2, 2\/23, -3\/4, -6\/5.\nAnswer: -2, -6\/5, -3\/4, -2\/35, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a millennium in years?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/3324 and -39\/1385.\nAnswer: 16620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 558470.\nAnswer: 2, 5, 11, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-135)\/(-21) - (-176)\/308. Solve -13*u - n = -85 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(375) - ((sqrt(375) - -1*sqrt(375)*1) + sqrt(375) + sqrt(375)))\/(sqrt(10)\/sqrt(2)*-3 - 2*sqrt(720)).\nAnswer: 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z - 8. Let i be g(-4). Suppose 0 = o - i*o + 342. What is the greatest common divisor of o and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 135.61839 - 1.67139. Let k = -134 + m. Round k to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -816 by -6.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whh when three letters picked without replacement from {r: 1, h: 3, z: 1, w: 5}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322 = 4*z - 5*c, 0 = -5*z - 0*c - c - 417. Let x = 119 + z. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 854578.8 millennia in months?\nAnswer: 10254945600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 598 + -595. Suppose -m*f - 585 = g - 5*g, -15 = 5*f. What is the greatest common factor of g and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20407404179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 1. Let x(y) = 193 + 192 + 185 - 570 + 10*y**2. Let n(o) = -3*o**2. What is p*x(i) - 7*n(i)?\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13\/4 in 4, -3, -0.087, -190?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*a + 3666 = 50*a. Let w = a - -290. Solve -n + w = -3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 9. Let o be v(7). Suppose -o*b + 68 = -3*b. Let g be (b\/20 - -3)\/1. Put -3\/4, 1\/4, g in descending order.\nAnswer: 1\/4, g, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -793*y**5\/60 + 197*y**4\/3 + 8*y**2 + 3. What is the second derivative of c(p) wrt p?\nAnswer: -1586","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2768177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 9:27 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f - 10*f = -12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1757904827 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**3 + q**2 - 2*q + 2. Let b be u(2). Let f = 52 + b. Calculate the greatest common divisor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1812509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 104*h - 5 - 546*h + 437*h.\nAnswer: -5*h - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/5)\/n*n*n**(-1\/16)*n*n*n**(-2\/13)\/((n\/(n\/(n**12\/n*n)))\/n) assuming n is positive.\nAnswer: n**(-9169\/1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26951 divided by -1.\nAnswer: -26951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 - n**3 - n**3 + n**2 + 2*n**3 - n**2 - 1 + 1 + n**3 + (-n + 4*n - n)*(-1 + 1 + 2*n**2) - n**3 + 0 + 0 - 83*n**3 + 58*n**3 + 46*n**3.\nAnswer: 28*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**6\/240 - 5*f**4\/12 + 5*f. Let z(j) be the third derivative of g(j). Let a(h) = 4*h**2 - 2*h**2 - h**2. Give a(z(k)).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/7*4\/(-70)*-11*(-44)\/(-726)\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 151749144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u. Let j(z) be the first derivative of 3*z**2 - 3. Let i = 19768 + -19763. What is i*l(o) + 4*j(o)?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 147136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -25 - (-4 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6105 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2792788899?\nAnswer: 3, 251, 3708883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + 4*c - c)*(c + 5*c - 5*c) + 2*c - c**2 - 2*c + 18*c**2 + 23*c + 3470 - 3470 to m*c**2 + k*c + j and give m.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -25. Let p be (4 - -2)\/((-10)\/g). What is the third derivative of 11*j**2 - 11*j**p - 5*j**2 - 8*j**2 wrt j?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3 + 19 = 0. Solve -1 = -l + i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -3\/2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 255446950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 876, -1, -449774 in ascending order.\nAnswer: -449774, -1, 876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from araara?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -63419, -126436, -189453, -252470, -315487?\n\"Answer: -63017*h - 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1065 - -1060. Let h(n) = -5 + 63*n - 66*n + 3. Determine h(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7*w + 101. Let b be s(-14). Solve x = -b*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0, -8, 180?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**3 - 8*r**3 + r**3 + r**3 - 2 + 2 + (0*r**2 - 2*r**2 + 3*r**2)*(71 - 71 + 8*r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 8:25 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-291)\/33 - -4) + 5\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v - v + v)*(-55*v**2 - 69*v**2 + 9*v**2) to the form y + p*v**3 + h*v + t*v**2 and give p.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4*b + 2060, -2*p - 4*b + 252 = -762. What is the remainder when p is divided by 253?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4357, 8751, 13161, 17593, 22053, 26547?\n\"Answer: a**3 + 2*a**2 + 4381*a - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 + -1.7. Let z = -169.8 + -46.2. Let c = z + 236. Are s and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 37\/185*7*5. Suppose 2*y - 7 = m, 2*m = -5*y + 4 - 0. Suppose 0 = -j*a + y*a. Solve 0 = 5*q - a - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + z**2 - 3*z + 21. Let l be h(0). Suppose 30*x = 27*x + l. Solve 0 = -3*a + 5*r - 1, x*r = -5*a + 4*r - 13 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2370333*q**2 - 8*q + 1092610?\nAnswer: -4740666","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 1)*(2*w + 2*w - 3*w) - 16944 + 16944 + 34*w)*(-3 - 2*w + 3).\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: d2 (base 15) to base 6\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 551333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -21*j - 4. Suppose 78*a = 263 + 127. Calculate l(a).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 54 = -o + 268, -62 = -u - o. Put 3, u, -4 in ascending order.\nAnswer: -4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-three thirds of a decade in months?\nAnswer: 3320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3760 - 9718?\nAnswer: -5958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 4366*z + 1328173.\nAnswer: (z - 4037)*(z - 329)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f919 - 3?\nAnswer: 1f916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119775.\nAnswer: 3, 5, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*l**(-2)))*l)\/(((l*l\/(l**(-2)*l*l)*l)\/l)\/l)*l**0*l**(-3\/5)\/l assuming l is positive.\nAnswer: l**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 10:14 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*y + 25900003 = c, -4*y + 2*c = 103600010. Let j be (7 - 3 - 2) + y. Round j to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62292695, -62292692, -62292689, -62292686, -62292683, -62292680?\nAnswer: -62292677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/1706475 and 50\/16039?\nAnswer: 73378425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2062699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 142 + -130. Let n(s) = s + 5. Let p be n(-4). Let g = y - p. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462558?\nAnswer: 2, 3, 77093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -7986.\nAnswer: 3\/2662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.3, 1\/2, 1 in descending order.\nAnswer: 1, 1\/2, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 63*u**2 + 0*u + 0*u + (0 + 0 - 2*u)*(-4 + 4 - 2*u).\nAnswer: 67*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-3 + -5 + 5 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.99955 grams to micrograms.\nAnswer: 63999550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21447814*s**3 - 20095413*s**2.\nAnswer: 128686884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 3. Suppose 6*d - d - 10 = 0. Suppose 0 = 3*f + 8 + 1, d*t + f - 9 = r. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 688829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 1 + 97*b + 99*b - 197*b. Suppose d + 10 = -4*d. Calculate s(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -7*r + 13. Let p(z) = -7*z + 10. Let m(n) = -3*p(n) + 2*y(n). Let b(g) = g**2 - g + 4. Let f be b(0). Suppose -f*k = -6*k - 6. Calculate m(k).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**22\/z)\/z*z*z*(z*z*z*z**(-23)\/z*z)\/z assuming z is positive.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - 12.74?\nAnswer: -41.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t. Let u(b) be the third derivative of b**5\/15 + 4*b**2. What is u(x(y))?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 2*p + 1. Suppose 2*q - 49 = -45. What is g(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**3 - 220*p - p**2 + 2*p**2 + 294*p + 4*p**4 + 2 - 6*p**4 as z*p**3 + t + g*p**2 + m*p + w*p**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.07 (b) -0.1 (c) 10\/43 (d) 2\/5 (e) 2\/11 (f) 11\/14 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -11 + -2 + (9 + -6 - 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21137, -21748, -23417, -26672, -32041?\n\"Answer: -88*g**3 - g**2 + 8*g - 21056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -67*a**7\/210 + 47*a**3\/6 + 22*a**2. Find the first derivative of d(u) wrt u.\nAnswer: -268*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56567\/4 + 14141. What is the closest to o in -15, 2\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 + 4 + -1 - -4 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*273612\nAnswer: 547224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0353599 rounded to two dps?\nAnswer: 2.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvwwlwdtwwdwt. What is prob of sequence wl?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16609894027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -208, 0.1, 7 in ascending order.\nAnswer: -208, 0.1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**3 + 51*q**2 - 26*q + 5. Let v be z(25). Let i be 15\/6*(-16)\/v. Which is the third biggest value? (a) i (b) -5 (c) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30907.44 - 0.05.\nAnswer: -30907.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1491120.\nAnswer: 2, 3, 5, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 826406*q*w**3 + q*w**2 + q*w + 25775334*q + w**3 - 3*w**2 wrt w?\nAnswer: 4958436*q*w + 2*q + 6*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -14\/326053361?\nAnswer: -14\/326053361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + 1 + sqrt(847)))**2.\nAnswer: 198*sqrt(7) + 7632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/13? (a) 1\/4 (b) -1.702 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2, 5*z + 4*c = 2 + 1. Let n be (4 - (0 - z)) + -3. Suppose n = 3*s + 3*s - 234. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 - 4423*c**2 - 13290*c - 11. Calculate q(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/(m*m**1*m))*m**(-12)*m*m)\/(m*(m\/(m\/(m\/m**(-4))))\/m*m**(-1\/7)) assuming m is positive.\nAnswer: m**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71*u - 76*u + 1 + 6)*(-2*u**2 + 2*u**2 - 6*u**3).\nAnswer: 30*u**4 - 42*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 738530 and 427570?\nAnswer: 8123830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -121*z**2 + 42*z**2 - 101*z**2 - 166 + 18*z**2 + 192 wrt z?\nAnswer: -324*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 40. Let d be (-2)\/(-8)*a\/5. Which is greater: -18 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 209*c**3*d**2 + 4200980*c**3*d - 68*c*d**2 + 33*d**3 wrt d?\nAnswer: 418*c**3 - 136*c + 198*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}